7.266 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (- (pow x 4.0) (pow y 4.0)) 0.054 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.055 * * [simplify]: iteration 1 : 29 enodes (cost 3 ) 0.056 * * [simplify]: iteration 2 : 68 enodes (cost 3 ) 0.058 * * [simplify]: iteration 3 : 204 enodes (cost 3 ) 0.063 * * [simplify]: iteration 4 : 776 enodes (cost 3 ) 0.081 * * [simplify]: iteration 5 : 3986 enodes (cost 3 ) 0.188 * * [simplify]: iteration 6 : 5002 enodes (cost 3 ) 0.189 * [simplify]: Simplified to: (- (pow x 4.0) (pow y 4.0)) 0.189 * * [progress]: iteration 1 / 4 0.189 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.204 * * * [progress]: generating series expansions 0.204 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.204 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (neg (pow y 4)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.206 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.209 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * * * [progress]: simplifying candidates 0.213 * [simplify]: Simplifying using # : (/ (exp (pow x 4.0)) (exp (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (* (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (neg (pow y 4.0)) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (neg (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0.215 * * [simplify]: iteration 0 : 126 enodes (cost 172 ) 0.218 * * [simplify]: iteration 1 : 340 enodes (cost 165 ) 0.225 * * [simplify]: iteration 2 : 1287 enodes (cost 165 ) 0.254 * * [simplify]: iteration 3 : 5001 enodes (cost 165 ) 0.256 * [simplify]: Simplified to: (exp (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow y 4.0) (+ (pow y 4.0) (pow x 4.0))) (pow x (* 2 4.0))) (neg (pow y 4.0)) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (neg (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0.256 * * * [progress]: adding candidates to table 0.305 * * [progress]: iteration 2 / 4 0.305 * * * [progress]: picking best candidate 0.309 * * * * [pick]: Picked # 0.309 * * * [progress]: localizing error 0.321 * * * [progress]: generating rewritten candidates 0.321 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.338 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.353 * * * [progress]: generating series expansions 0.353 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.353 * [approximate]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in y 0.353 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in x 0.354 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in x 0.355 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 0.355 * [taylor]: Taking taylor expansion of -1 in y 0.355 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.358 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.359 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.359 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.359 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of 1 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.364 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.364 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.365 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.365 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.365 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.366 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of 1 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.370 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.370 * [approximate]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in (x y) around 0 0.370 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in y 0.370 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.370 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (neg (pow y 8)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.372 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.372 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.372 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of 1 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 8))) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.377 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 8))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * * * [progress]: simplifying candidates 0.384 * [simplify]: Simplifying using # : (- (log (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (log (+ (pow x 4.0) (pow y 4.0)))) (log (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (exp (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (/ (* (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)))) (* (cbrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (cbrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))))) (cbrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (* (* (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (sqrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (sqrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (neg (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (neg (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (+ (pow x (* 2 4.0)) 0) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) 1) (/ (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (pow 1 4.0)) (/ (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) 1) (/ (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) 1) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (pow 1 4.0)) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) 1) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ (pow 1 (* 2 4.0)) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (pow 1 (* 2 4.0)) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (pow 1 (* 2 4.0)) 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ (pow 1 (* 2 4.0)) (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ (pow 1 (* 2 4.0)) 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) 1) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) 1) (/ (+ (pow x 4.0) (pow y 4.0)) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (/ (+ (pow x 4.0) (pow y 4.0)) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (* (+ (pow x 4.0) (pow y 4.0)) (+ (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (- (* (neg (pow y (* 2 4.0))) (neg (pow y (* 2 4.0)))) (* (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))))) (* (+ (pow x 4.0) (pow y 4.0)) (- (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (exp (pow x (* 2 4.0))) (/ 1 (exp (pow y (* 2 4.0))))) (* (exp (pow x (* 2 4.0))) (exp (neg (pow y (* 2 4.0))))) (log (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (exp (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow (pow x (* 2 4.0)) 3) (pow (neg (pow y (* 2 4.0))) 3)) (+ (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (- (* (neg (pow y (* 2 4.0))) (neg (pow y (* 2 4.0)))) (* (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (- (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (* (neg (pow y (* 2 4.0))) (neg (pow y (* 2 4.0))))) (- (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) 0) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (- (pow x 8) (pow y 8)) (- (pow x 8) (pow y 8)) 0.390 * * [simplify]: iteration 0 : 267 enodes (cost 1045 ) 0.396 * * [simplify]: iteration 1 : 1273 enodes (cost 948 ) 0.422 * * [simplify]: iteration 2 : 5002 enodes (cost 909 ) 0.427 * [simplify]: Simplified to: (log (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (log (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (exp (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (pow (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 3) (* (cbrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (cbrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))))) (cbrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (pow (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 3) (sqrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (sqrt (/ (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (+ (pow y (* 2 4.0)) (neg (pow x (* 2 4.0)))) (neg (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow x 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(* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (/ (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (/ 1 (cbrt (+ (pow x 4.0) (pow y 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) (/ (/ 1 (cbrt (+ (pow x 4.0) (pow y 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) (/ (/ 1 (cbrt (+ (pow x 4.0) (pow y 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) (/ (/ 1 (cbrt (+ (pow x 4.0) (pow y 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 1 (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (/ (+ (pow x 4.0) (pow y 4.0)) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (/ (+ (pow x 4.0) (pow y 4.0)) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) 1 (* (+ (* (neg (pow y (* 2 4.0))) (- (neg (pow y (* 2 4.0))) (pow x (* 2 4.0)))) (pow x (* 2 (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (* (+ (pow x 4.0) (pow y 4.0)) (- (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (pow (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) 3) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (- (pow (pow x (* 2 4.0)) 3) (pow (pow y (* 2 4.0)) 3)) (+ (pow y (* 2 (* 2 4.0))) (+ (* (pow x (* 2 4.0)) (pow y (* 2 4.0))) (pow x (* 2 (* 2 4.0))))) (- (/ (pow (pow x 4.0) 4) 1) (/ (pow (pow y 4.0) 4) 1)) (+ (pow y (* 2 4.0)) (pow x (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (pow x (* 2 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (- (pow x 8) (pow y 8)) (- (pow x 8) (pow y 8)) 0.428 * * * [progress]: adding candidates to table 0.569 * * [progress]: iteration 3 / 4 0.569 * * * [progress]: picking best candidate 0.573 * * * * [pick]: Picked # 0.573 * * * [progress]: localizing error 0.587 * * * [progress]: generating rewritten candidates 0.587 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.609 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.616 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.630 * * * [progress]: generating series expansions 0.630 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.630 * [approximate]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in y 0.630 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in x 0.633 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.633 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.633 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 0.633 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in x 0.634 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 0.634 * [taylor]: Taking taylor expansion of -1 in y 0.634 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 0.637 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.637 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.637 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.637 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.637 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.637 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.637 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.638 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.638 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.638 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.638 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.638 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.638 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.638 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of 1 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.640 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.643 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.643 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.643 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.643 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.645 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.645 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of 1 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.649 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.649 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow x 4) (pow y 4))) in (x y) around 0 0.649 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 4) (pow y 4))) in y 0.649 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in y 0.649 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 4) (pow y 4))) in x 0.649 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 4) (pow y 4))) in x 0.649 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.650 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 0.651 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.651 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.651 * [taylor]: Taking taylor expansion of x in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.651 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.652 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.652 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of 1 in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.653 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.653 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.654 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of 1 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.654 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.654 * [approximate]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in (x y) around 0 0.654 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in y 0.654 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (neg (pow y 8)) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.656 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.657 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.657 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of 1 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 8))) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.659 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in (x y) around 0 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.662 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.662 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.662 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.663 * [taylor]: Taking taylor expansion of 1 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 8))) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.665 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.667 * * * [progress]: simplifying candidates 0.669 * [simplify]: Simplifying using # : (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (+ (log (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (neg (log (+ (pow x 4.0) (pow y 4.0))))) (+ (log (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (- 0 (log (+ (pow x 4.0) (pow y 4.0))))) (+ (log (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (- (log 1) (log (+ (pow x 4.0) (pow y 4.0))))) (+ (log (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (log (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (log (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (exp (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (* (* (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (* (* 1 1) 1) (* (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0))))) (* (* (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (* (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (* (cbrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (cbrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))))) (cbrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (* (* (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (sqrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (sqrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (* (+ (pow (pow x (* 2 4.0)) 3) (pow (neg (pow y (* 2 4.0))) 3)) 1) (* (+ (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (- (* (neg (pow y (* 2 4.0))) (neg (pow y (* 2 4.0)))) (* (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (+ (pow x 4.0) (pow y 4.0))) (* (- (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (* (neg (pow y (* 2 4.0))) (neg (pow y (* 2 4.0))))) 1) (* (- (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (* (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (sqrt 1) (sqrt (+ (pow x 4.0) (pow y 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ (sqrt 1) (sqrt (+ (pow x 4.0) (pow y 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (* (cbrt (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (cbrt (/ 1 (+ (pow x 4.0) (pow y 4.0)))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (sqrt (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (pow x 4.0) (pow y 4.0))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (* (cbrt 1) (cbrt 1)) (pow 1 4.0))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (sqrt 1) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (sqrt 1) (sqrt (+ (pow x 4.0) (pow y 4.0))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (sqrt 1) 1)) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (sqrt 1) (pow 1 4.0))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ (sqrt 1) 1)) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0))))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 1)) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (pow 1 4.0))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 1)) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) 1) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) 1) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))))) (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) 1) (* (+ (pow (pow x (* 2 4.0)) 3) (pow (neg (pow y (* 2 4.0))) 3)) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (- (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (* (neg (pow y (* 2 4.0))) (neg (pow y (* 2 4.0))))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (neg 1) (neg (log (+ (pow x 4.0) (pow y 4.0)))) (- 0 (log (+ (pow x 4.0) (pow y 4.0)))) (- (log 1) (log (+ (pow x 4.0) (pow y 4.0)))) (log (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (exp (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (/ (* (* 1 1) 1) (* (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)))) (* (cbrt (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (cbrt (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (cbrt (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (* (* (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (sqrt (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (sqrt (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (neg 1) (neg (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (cbrt 1) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (cbrt 1) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt 1) (cbrt 1)) (pow 1 4.0)) (/ (cbrt 1) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt 1) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (sqrt 1) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt 1) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt 1) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt 1) (pow 1 4.0)) (/ (sqrt 1) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ 1 (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 1) (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ 1 (pow 1 4.0)) (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ 1 1) (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ (+ (pow x 4.0) (pow y 4.0)) 1) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 1) (/ 1 (pow 1 4.0)) (/ 1 1) (/ (+ (pow x 4.0) (pow y 4.0)) (cbrt 1)) (/ (+ (pow x 4.0) (pow y 4.0)) (sqrt 1)) (/ (+ (pow x 4.0) (pow y 4.0)) 1) (/ 1 (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (/ 1 (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (* (exp (pow x (* 2 4.0))) (/ 1 (exp (pow y (* 2 4.0))))) (* (exp (pow x (* 2 4.0))) (exp (neg (pow y (* 2 4.0))))) (log (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (exp (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (* (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (+ (pow (pow x (* 2 4.0)) 3) (pow (neg (pow y (* 2 4.0))) 3)) (+ (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (- (* (neg (pow y (* 2 4.0))) (neg (pow y (* 2 4.0)))) (* (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (- (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (* (neg (pow y (* 2 4.0))) (neg (pow y (* 2 4.0))))) (- (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) 0) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 0 0 0 (- (pow x 8) (pow y 8)) (- (pow x 8) (pow y 8)) 0.675 * * [simplify]: iteration 0 : 385 enodes (cost 1106 ) 0.684 * * [simplify]: iteration 1 : 2218 enodes (cost 943 ) 0.729 * * [simplify]: iteration 2 : 5002 enodes (cost 893 ) 0.734 * [simplify]: Simplified to: (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) (- (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (+ (pow x 4.0) (pow y 4.0)))) (- (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (+ (pow x 4.0) (pow y 4.0)))) (- (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (+ (pow x 4.0) (pow y 4.0)))) (- (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (+ (pow x 4.0) (pow y 4.0)))) (- (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (+ (pow x 4.0) (pow y 4.0)))) (pow (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))) (pow (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 3) (pow (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 3) (* (cbrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (cbrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0)))))) (cbrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (pow (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 3) (sqrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (sqrt (* (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (/ 1 (+ (pow x 4.0) (pow y 4.0))))) (- (pow (pow x (* 2 4.0)) 3) (pow (pow y (* 2 4.0)) 3)) (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow y (* 2 (* 2 4.0))) (+ (* (pow x (* 2 4.0)) (pow y (* 2 4.0))) (pow x (* 2 (* 2 4.0)))))) (- (/ (pow (pow x 4.0) 4) 1) (/ (pow (pow y 4.0) 4) 1)) (* (- (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (* (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (/ 1 (+ (pow x 4.0) 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1 (+ (pow x 4.0) (pow y 4.0))) (/ 1 (+ (pow x 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) 1 1 1 (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0)) (/ 1 (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (/ 1 (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (* (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0)))))) (cbrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (pow (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) 3) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (neg (pow y (* 2 4.0))))) (- (pow (pow x (* 2 4.0)) 3) (pow (pow y (* 2 4.0)) 3)) (+ (pow y (* 2 (* 2 4.0))) (+ (* (pow x (* 2 4.0)) (pow y (* 2 4.0))) (pow x (* 2 (* 2 4.0))))) (- (/ (pow (pow x 4.0) 4) 1) (/ (pow (pow y 4.0) 4) 1)) (+ (pow y (* 2 4.0)) (pow x (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (pow x (* 2 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 0 0 0 (- (pow x 8) (pow y 8)) (- (pow x 8) (pow y 8)) 0.735 * * * [progress]: adding candidates to table 0.943 * [progress]: [Phase 3 of 3] Extracting. 0.943 * * [regime]: Finding splitpoints for: (# #) 0.943 * * * [regime-changes]: Trying 5 branch expressions: ((pow y 4.0) (pow x 4.0) (- (pow x 4.0) (pow y 4.0)) y x) 0.943 * * * * [regimes]: Trying to branch on (pow y 4.0) from (# #) 0.979 * * * * [regimes]: Trying to branch on (pow x 4.0) from (# #) 1.014 * * * * [regimes]: Trying to branch on (- (pow x 4.0) (pow y 4.0)) from (# #) 1.054 * * * * [regimes]: Trying to branch on y from (# #) 1.087 * * * * [regimes]: Trying to branch on x from (# #) 1.118 * * * [regime]: Found split indices: #