32.681 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ (+ x y) (- x y)) 0.015 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.017 * [simplify]: Simplified to: (/ (+ x y) (- x y)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.027 * [taylor]: Taking taylor expansion of (+ x y) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (- x y) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (- x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (- x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of -1 in y 0.029 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.029 * [taylor]: Taking taylor expansion of 2 in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.031 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.031 * [taylor]: Taking taylor expansion of 2 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 0.036 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.036 * [taylor]: Taking taylor expansion of 2 in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.042 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of 2 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.051 * [taylor]: Taking taylor expansion of 2 in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.058 * [taylor]: Taking taylor expansion of 2 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.066 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.067 * [taylor]: Taking taylor expansion of -1 in y 0.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.068 * [taylor]: Taking taylor expansion of -1 in x 0.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1 in y 0.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.077 * [taylor]: Taking taylor expansion of 2 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.084 * [taylor]: Taking taylor expansion of 2 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.090 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying using # : (- (+ x y)) (- (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ (+ x y) (- (* x x) (* y y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) -1 1 1 0.093 * * [simplify]: iteration 0 : 65 enodes (cost 28 ) 0.094 * * [simplify]: iteration 1 : 158 enodes (cost 28 ) 0.098 * * [simplify]: iteration 2 : 433 enodes (cost 24 ) 0.107 * * [simplify]: iteration 3 : 1589 enodes (cost 24 ) 0.133 * * [simplify]: iteration 4 : 5002 enodes (cost 24 ) 0.133 * [simplify]: Simplified to: (- (+ x y)) (- y x) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ 1 (- x y)) (* (fma x x (- (* y y) (* x y))) (- x y)) (* (- x y) (- x y)) -1 1 1 0.133 * * * [progress]: adding candidates to table 0.150 * * [progress]: iteration 2 / 4 0.150 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.164 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.172 * [approximate]: Taking taylor expansion of (/ (- x y) (+ x y)) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in y 0.172 * [taylor]: Taking taylor expansion of (- x y) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (+ x y) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in x 0.172 * [taylor]: Taking taylor expansion of (- x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (+ x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in x 0.172 * [taylor]: Taking taylor expansion of (- x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (+ x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of -1 in y 0.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.173 * [taylor]: Taking taylor expansion of 2 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of 2 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 0.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.180 * [taylor]: Taking taylor expansion of 2 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.186 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.191 * [taylor]: Taking taylor expansion of 2 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.195 * [taylor]: Taking taylor expansion of 2 in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.202 * [taylor]: Taking taylor expansion of 2 in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.207 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)))) in y 0.207 * [taylor]: Taking taylor expansion of -1 in y 0.207 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) in y 0.207 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.214 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.214 * [taylor]: Taking taylor expansion of 2 in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of 2 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 0.225 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.225 * [taylor]: Taking taylor expansion of 2 in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.231 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.231 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.231 * [taylor]: Taking taylor expansion of (+ x y) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (- x y) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.231 * [taylor]: Taking taylor expansion of (+ x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (- x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.232 * [taylor]: Taking taylor expansion of (+ x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (- x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of 2 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.235 * [taylor]: Taking taylor expansion of 2 in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.240 * [taylor]: Taking taylor expansion of 2 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.246 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of 2 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.258 * [taylor]: Taking taylor expansion of 2 in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.264 * [taylor]: Taking taylor expansion of 2 in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.270 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.270 * [taylor]: Taking taylor expansion of -1 in y 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.271 * [taylor]: Taking taylor expansion of -1 in x 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.273 * [taylor]: Taking taylor expansion of -1 in x 0.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 1 in y 0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of 2 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.280 * [taylor]: Taking taylor expansion of 2 in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.287 * [taylor]: Taking taylor expansion of 2 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.293 * * * [progress]: simplifying candidates 0.293 * [simplify]: Simplifying using # : (- (- x y)) (- (+ x y)) (/ x (+ x y)) (/ y (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (- x y)) (/ (- x y) (+ (pow x 3) (pow y 3))) (/ (- x y) (- (* x x) (* y y))) (* (+ x y) (+ (* x x) (+ (* y y) (* x y)))) (* (+ x y) (+ x y)) (- 1) (- (/ (- x y) (+ x y))) (/ 1 (/ (- x y) (+ x y))) (/ (/ (- x y) (+ x y)) 1) (/ 1 (- x y)) (/ 1 (/ (- x y) (+ (pow x 3) (pow y 3)))) (/ 1 (/ (- x y) (- (* x x) (* y y)))) (/ 1 (- x y)) (/ 1 (- (- x y))) (/ 1 1) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) -1 1 1 -1 1 1 0.296 * * [simplify]: iteration 0 : 95 enodes (cost 70 ) 0.298 * * [simplify]: iteration 1 : 278 enodes (cost 69 ) 0.304 * * [simplify]: iteration 2 : 1095 enodes (cost 67 ) 0.322 * * [simplify]: iteration 3 : 4006 enodes (cost 59 ) 0.372 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.373 * [simplify]: Simplified to: (- y x) (- (+ x y)) (/ x (+ x y)) (/ y (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (- x y)) (/ (- x y) (+ (pow x 3) (pow y 3))) (/ 1 (+ x y)) (* (fma x x (fma y y (* x y))) (+ x y)) (* (+ x y) (+ x y)) (- 1) (- (/ (- x y) (+ x y))) (/ (+ x y) (- x y)) (/ (- x y) (+ x y)) (/ 1 (- x y)) (/ (+ (pow x 3) (pow y 3)) (- x y)) (+ x y) (/ 1 (- x y)) (/ 1 (- (- x y))) 1 (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) -1 1 1 -1 1 1 0.373 * * * [progress]: adding candidates to table 0.416 * * [progress]: iteration 3 / 4 0.416 * * * [progress]: picking best candidate 0.421 * * * * [pick]: Picked # 0.421 * * * [progress]: localizing error 0.428 * * * [progress]: generating rewritten candidates 0.428 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.431 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.437 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.441 * * * [progress]: generating series expansions 0.441 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.441 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.441 * [taylor]: Taking taylor expansion of (+ x y) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.441 * [taylor]: Taking taylor expansion of (+ x y) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.441 * [taylor]: Taking taylor expansion of (+ x y) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.455 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of 1 in y 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.458 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.464 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.464 * [taylor]: Taking taylor expansion of -1 in y 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.465 * [taylor]: Taking taylor expansion of -1 in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.466 * [taylor]: Taking taylor expansion of -1 in x 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of -1 in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.474 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.474 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.474 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.474 * [taylor]: Taking taylor expansion of (+ x y) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (- x y) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.475 * [taylor]: Taking taylor expansion of (+ x y) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (- x y) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.475 * [taylor]: Taking taylor expansion of (+ x y) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (- x y) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.476 * [taylor]: Taking taylor expansion of 2 in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.478 * [taylor]: Taking taylor expansion of 2 in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.483 * [taylor]: Taking taylor expansion of 2 in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.483 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.489 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.494 * [taylor]: Taking taylor expansion of 2 in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of 2 in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.504 * [taylor]: Taking taylor expansion of 2 in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.509 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.509 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.509 * [taylor]: Taking taylor expansion of -1 in y 0.509 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of 1 in y 0.516 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.516 * [taylor]: Taking taylor expansion of 2 in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.520 * [taylor]: Taking taylor expansion of 2 in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.529 * [taylor]: Taking taylor expansion of 2 in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.534 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.535 * [approximate]: Taking taylor expansion of (/ 1 (- x y)) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 0.535 * [taylor]: Taking taylor expansion of (- x y) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.535 * [taylor]: Taking taylor expansion of (- x y) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.535 * [taylor]: Taking taylor expansion of (- x y) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.535 * [taylor]: Taking taylor expansion of -1 in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.547 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.547 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 0.547 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.549 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of 1 in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.557 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.557 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.558 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of -1 in y 0.561 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.567 * * * [progress]: simplifying candidates 0.568 * [simplify]: Simplifying using # : (- 1) (- (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) (- (/ 1 (- x y))) (- (/ 1 (+ x y))) (/ 1 1) (/ (/ 1 (- x y)) (/ 1 (+ x y))) (/ 1 (/ 1 (+ (pow x 3) (pow y 3)))) (/ (/ 1 (- x y)) (+ (* x x) (- (* y y) (* x y)))) (/ 1 (/ 1 (- (* x x) (* y y)))) (/ (/ 1 (- x y)) (- x y)) (/ (/ 1 (- (pow x 3) (pow y 3))) 1) (/ (+ (* x x) (+ (* y y) (* x y))) (/ 1 (+ x y))) (/ (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (/ (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y)))) (/ (+ (* x x) (+ (* y y) (* x y))) (- x y)) (/ (/ 1 (- (* x x) (* y y))) 1) (/ (+ x y) (/ 1 (+ x y))) (/ (/ 1 (- (* x x) (* y y))) (/ 1 (+ (pow x 3) (pow y 3)))) (/ (+ x y) (+ (* x x) (- (* y y) (* x y)))) (/ (/ 1 (- (* x x) (* y y))) (/ 1 (- (* x x) (* y y)))) (/ (+ x y) (- x y)) (/ 1 (/ 1 (+ x y))) (/ (/ 1 (+ x y)) (/ 1 (- x y))) (/ (/ 1 (- x y)) 1) (/ (/ 1 (- x y)) (/ 1 (+ (pow x 3) (pow y 3)))) (/ (/ 1 (- x y)) (/ 1 (- (* x x) (* y y)))) (/ (/ 1 (+ x y)) (/ 1 (- x y))) (/ (/ 1 (+ x y)) (+ (* x x) (+ (* y y) (* x y)))) (/ (/ 1 (+ x y)) (+ x y)) (/ (/ 1 (- x y)) 1) (/ (/ 1 (- x y)) (- 1)) (/ (/ 1 (- x y)) 1) (* (/ 1 (+ x y)) (- x y)) (* (/ 1 (+ x y)) (- (- x y))) (* (/ 1 (+ x y)) (/ (- x y) 1)) (- 1) (- (- x y)) (/ 1 (- x y)) (/ (- x y) 1) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 -1 1 1 0 0 0 0.572 * * [simplify]: iteration 0 : 157 enodes (cost 180 ) 0.576 * * [simplify]: iteration 1 : 851 enodes (cost 162 ) 0.599 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.601 * [simplify]: Simplified to: (- 1) (- (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) (- (/ 1 (- x y))) (- (/ 1 (+ x y))) 1 (/ (+ x y) (- x y)) (+ (pow x 3) (pow y 3)) (/ (/ 1 (fma y (- y x) (* x x))) (- x y)) (- (* x x) (* y y)) (/ (/ 1 (- x y)) (- x y)) (/ 1 (- (pow x 3) (pow y 3))) (* (fma x x (fma y y (* x y))) (+ x y)) (/ (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (/ (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (/ (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (/ (fma x x (fma y y (* x y))) (- x y)) (/ 1 (- (* x x) (* y y))) (* (+ x y) (+ x y)) (/ (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (/ (+ x y) (fma y (- y x) (* x x))) 1 (/ (+ x y) (- x y)) (+ x y) (/ (- x y) (+ x y)) (/ 1 (- x y)) (/ (+ (pow x 3) (pow y 3)) (- x y)) (/ (- (* x x) (* y y)) (- x y)) (/ (- x y) (+ x y)) (/ 1 (* (fma x x (fma y y (* x y))) (+ x y))) (/ (/ 1 (+ x y)) (+ x y)) (/ 1 (- x y)) (/ 1 (- (- x y))) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (- (- x y)) (+ x y)) (/ (- x y) (+ x y)) (- 1) (- y x) (/ 1 (- x y)) (- x y) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 -1 1 1 0 0 0 0.601 * * * [progress]: adding candidates to table 0.673 * * [progress]: iteration 4 / 4 0.673 * * * [progress]: picking best candidate 0.677 * * * * [pick]: Picked # 0.677 * * * [progress]: localizing error 0.683 * * * [progress]: generating rewritten candidates 0.683 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.689 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.692 * * * [progress]: generating series expansions 0.692 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.692 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.692 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.692 * [taylor]: Taking taylor expansion of (+ x y) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (- x y) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.693 * [taylor]: Taking taylor expansion of (+ x y) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (- x y) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.693 * [taylor]: Taking taylor expansion of (+ x y) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (- x y) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of -1 in y 0.694 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.694 * [taylor]: Taking taylor expansion of 2 in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.697 * [taylor]: Taking taylor expansion of 2 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.702 * [taylor]: Taking taylor expansion of 2 in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.702 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.707 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of 1 in y 0.713 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.713 * [taylor]: Taking taylor expansion of 2 in y 0.713 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.716 * [taylor]: Taking taylor expansion of 2 in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.722 * [taylor]: Taking taylor expansion of 2 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.722 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.728 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.728 * [taylor]: Taking taylor expansion of -1 in y 0.728 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.729 * [taylor]: Taking taylor expansion of -1 in x 0.729 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.731 * [taylor]: Taking taylor expansion of -1 in x 0.731 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of 1 in y 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.734 * [taylor]: Taking taylor expansion of 2 in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.738 * [taylor]: Taking taylor expansion of 2 in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.748 * [taylor]: Taking taylor expansion of 2 in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.748 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.753 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.753 * [approximate]: Taking taylor expansion of (/ 1 (- x y)) in (x y) around 0 0.753 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 0.753 * [taylor]: Taking taylor expansion of (- x y) in y 0.753 * [taylor]: Taking taylor expansion of x in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.753 * [taylor]: Taking taylor expansion of (- x y) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.753 * [taylor]: Taking taylor expansion of (- x y) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of y in x 0.754 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.754 * [taylor]: Taking taylor expansion of -1 in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.758 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.765 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.765 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 0.765 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.765 * [taylor]: Taking taylor expansion of x in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.766 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.767 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.767 * [taylor]: Taking taylor expansion of y in x 0.768 * [taylor]: Taking taylor expansion of 1 in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.774 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.774 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 0.774 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.776 * [taylor]: Taking taylor expansion of y in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of -1 in y 0.778 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.785 * * * [progress]: simplifying candidates 0.786 * [simplify]: Simplifying using # : (* 1 (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* 1 (- (* x x) (* y y))) (* (- x y) (- x y)) (* (- 1) (+ (pow x 3) (pow y 3))) (* (- (- x y)) (+ (* x x) (- (* y y) (* x y)))) (* (- 1) (- (* x x) (* y y))) (* (- (- x y)) (- x y)) (* 1 (+ (pow x 3) (pow y 3))) (* (/ (- x y) 1) (+ (* x x) (- (* y y) (* x y)))) (* 1 (- (* x x) (* y y))) (* (/ (- x y) 1) (- x y)) (* (/ 1 (- x y)) x) (* (/ 1 (- x y)) y) (* (/ 1 (- x y)) y) (* (/ 1 (- x y)) x) (* x (/ 1 (- x y))) (* y (/ 1 (- x y))) (* y (/ 1 (- x y))) (* x (/ 1 (- x y))) (* (/ 1 (- x y)) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ x y)) (* (+ x y) (+ x y)) (* (/ 1 (- x y)) (+ (pow x 3) (pow y 3))) (* (/ 1 (- x y)) (- (* x x) (* y y))) (* 1 (+ x y)) (* (- 1) (+ x y)) (* 1 (+ x y)) (- 1) (- (- x y)) (/ 1 (- x y)) (/ (- x y) 1) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) -1 1 1 0 0 0 0.789 * * [simplify]: iteration 0 : 176 enodes (cost 112 ) 0.793 * * [simplify]: iteration 1 : 738 enodes (cost 103 ) 0.805 * * [simplify]: iteration 2 : 2767 enodes (cost 97 ) 0.847 * * [simplify]: iteration 3 : 5001 enodes (cost 96 ) 0.848 * [simplify]: Simplified to: (+ (pow x 3) (pow y 3)) (* (fma x x (- (* y y) (* x y))) (- x y)) (- (* x x) (* y y)) (* (- x y) (- x y)) (- (+ (pow x 3) (pow y 3))) (* (- (- x y)) (fma y (- y x) (* x x))) (fma (- x) x (* y y)) (* (- y x) (- x y)) (+ (pow x 3) (pow y 3)) (* (fma x x (- (* y y) (* x y))) (- x y)) (- (* x x) (* y y)) (* (- x y) (- x y)) (/ x (- x y)) (/ y (- x y)) (/ y (- x y)) (/ x (- x y)) (/ x (- x y)) (/ y (- x y)) (/ y (- x y)) (/ x (- x y)) (/ (+ x y) (- x y)) (* (+ x y) (fma x x (fma y y (* x y)))) (* (+ x y) (+ x y)) (/ (+ (pow x 3) (pow y 3)) (- x y)) (+ x y) (+ x y) (- (+ x y)) (+ x y) (- 1) (- y x) (/ 1 (- x y)) (- x y) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) -1 1 1 0 0 0 0.849 * * * [progress]: adding candidates to table 0.894 * [progress]: [Phase 3 of 3] Extracting. 0.894 * * [regime]: Finding splitpoints for: (# # # #) 0.895 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (- x y)) y x) 0.895 * * * * [regimes]: Trying to branch on (/ (+ x y) (- x y)) from (# # # #) 0.908 * * * * [regimes]: Trying to branch on y from (# # # #) 0.926 * * * * [regimes]: Trying to branch on x from (# # # #) 0.941 * * * [regime]: Found split indices: #