19.504 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.027 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.028 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.029 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.031 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.033 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.035 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.037 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.039 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.042 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.047 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.075 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.317 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.319 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.322 * * [progress]: iteration 1 / 4 0.322 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.336 * * * [progress]: generating rewritten candidates 0.336 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.345 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.348 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.354 * * * [progress]: generating series expansions 0.354 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.354 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of 3 in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of 3 in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of 3 in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of 3 in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 1 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of 3 in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 3 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of 3 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of 3 in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of 3 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.359 * [taylor]: Taking taylor expansion of 3 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.359 * [taylor]: Taking taylor expansion of 3 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of 1 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.360 * [taylor]: Taking taylor expansion of 3 in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.361 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 1 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of 1 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of 1 in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.366 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.366 * [taylor]: Taking taylor expansion of 2 in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of 2 in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of 2 in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of 2 in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 1 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of 2 in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of 2 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of 2 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.369 * [taylor]: Taking taylor expansion of 2 in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of 2 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.371 * [taylor]: Taking taylor expansion of 2 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.371 * [taylor]: Taking taylor expansion of 2 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of 1 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.371 * [taylor]: Taking taylor expansion of 2 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.373 * * * [progress]: simplifying candidates 0.373 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.377 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.383 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.401 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.499 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.501 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (pow x 2) (pow y 2)) (* y (+ y y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (exp (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (* (pow x 2) (+ (pow x 2) (* y (+ y y)))) (pow x 2) (* y (+ y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.501 * * * [progress]: adding candidates to table 0.557 * * [progress]: iteration 2 / 4 0.557 * * * [progress]: picking best candidate 0.579 * * * * [pick]: Picked # 0.579 * * * [progress]: localizing error 0.590 * * * [progress]: generating rewritten candidates 0.590 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.595 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.600 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.613 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.630 * * * [progress]: generating series expansions 0.630 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.630 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of 2 in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.630 * [taylor]: Taking taylor expansion of 2 in x 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.631 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.631 * [taylor]: Taking taylor expansion of 2 in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.631 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.631 * [taylor]: Taking taylor expansion of 2 in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.632 * [taylor]: Taking taylor expansion of 1/2 in y 0.632 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.632 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.632 * [taylor]: Taking taylor expansion of 2 in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.633 * [taylor]: Taking taylor expansion of x in y 0.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.633 * [taylor]: Taking taylor expansion of 2 in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.633 * [taylor]: Taking taylor expansion of 2 in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.633 * [taylor]: Taking taylor expansion of 2 in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of 1 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of 2 in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.635 * [taylor]: Taking taylor expansion of 2 in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.636 * [taylor]: Taking taylor expansion of 2 in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of 1 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.637 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.637 * [taylor]: Taking taylor expansion of 2 in y 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.638 * [taylor]: Taking taylor expansion of 2 in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.638 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.638 * [taylor]: Taking taylor expansion of 2 in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.638 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.638 * [taylor]: Taking taylor expansion of 2 in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.639 * [taylor]: Taking taylor expansion of 1/2 in y 0.639 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.639 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.639 * [taylor]: Taking taylor expansion of 2 in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.640 * [taylor]: Taking taylor expansion of 2 in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.640 * [taylor]: Taking taylor expansion of 2 in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.641 * [taylor]: Taking taylor expansion of 2 in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of 1 in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.642 * [taylor]: Taking taylor expansion of 2 in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.643 * [taylor]: Taking taylor expansion of 2 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.643 * [taylor]: Taking taylor expansion of 2 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of 1 in y 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.644 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.644 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.644 * [taylor]: Taking taylor expansion of 2 in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.645 * [taylor]: Taking taylor expansion of 2 in x 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.645 * [taylor]: Taking taylor expansion of 2 in x 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.645 * [taylor]: Taking taylor expansion of 2 in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [taylor]: Taking taylor expansion of 1 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.646 * [taylor]: Taking taylor expansion of 2 in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of 2 in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of 2 in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of 1 in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.647 * [taylor]: Taking taylor expansion of 2 in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.649 * [taylor]: Taking taylor expansion of 2 in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.649 * [taylor]: Taking taylor expansion of 2 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.649 * [taylor]: Taking taylor expansion of 2 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of 1 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.650 * [taylor]: Taking taylor expansion of 2 in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) 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 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.651 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.652 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.652 * [taylor]: Taking taylor expansion of 3 in y 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.652 * [taylor]: Taking taylor expansion of 3 in x 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.652 * [taylor]: Taking taylor expansion of 3 in x 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.652 * [taylor]: Taking taylor expansion of 3 in y 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [taylor]: Taking taylor expansion of 1 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.653 * [taylor]: Taking taylor expansion of 3 in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.654 * [taylor]: Taking taylor expansion of 3 in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.654 * [taylor]: Taking taylor expansion of 3 in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* 3 (/ 1 (pow y 2))) in y 0.654 * [taylor]: Taking taylor expansion of 3 in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [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 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.656 * [taylor]: Taking taylor expansion of 3 in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.656 * [taylor]: Taking taylor expansion of 3 in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.657 * [taylor]: Taking taylor expansion of 3 in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.657 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* 3 (/ 1 (pow y 2))) in y 0.657 * [taylor]: Taking taylor expansion of 3 in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * * * [progress]: simplifying candidates 0.660 * [simplify]: Simplifying using # : (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ 1 1) (+ (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (log (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (exp (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (+ (* x x) (* y y)) (* y y)))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (- (+ (* x x) (* y y)) (* y y))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (- (+ (* x x) (* y y)) (* y y))) (sqrt (- (+ (* x x) (* y y)) (* y y)))) (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* 1 1) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) 1) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (exp (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (exp (* y y))) (log (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (exp (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (* (* (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3)) (+ (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y))) (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.667 * * [simplify]: iteration 0 : 244 enodes (cost 1203 ) 0.673 * * [simplify]: iteration 1 : 1165 enodes (cost 1041 ) 0.701 * * [simplify]: iteration 2 : 5001 enodes (cost 979 ) 0.709 * [simplify]: Simplified to: (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 1 2 1 1 (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) (+ (* y (+ y y)) (pow x 2)) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) 2 (* 2 (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* 2 (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (pow (exp 1) (+ (* y (+ y y)) (pow x 2))) (pow (+ (* y (+ y y)) (pow x 2)) 3) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (* y (+ y y)) (pow x 2)) 3) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (pow x 2) (+ (* x x) (* y y)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (+ (* x x) (* y y)) (* y y)))) (+ (pow x 4) (* (pow x 2) (* 2 (pow y 2)))) (pow x 2) (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) 1 (+ (* y (+ y y)) (pow x 2)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) 1 (+ (* y (+ y y)) (pow x 2)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) 1 2 1 (* (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (+ (* y (+ y y)) (pow x 2)) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (+ (* y (+ y y)) (pow x 2)) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (pow y 2))) (log (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (pow y 2))) (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (pow (+ (+ (pow y 2) (pow x 2)) (* y (+ y y))) 3) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (pow (* y y) 3) (* (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2) (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2))) (+ (pow y 4) (* (+ (* y (+ y y)) (pow x 2)) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (pow y 2) (+ (+ (* x x) (* y y)) (* y y)))) (+ (* x x) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.709 * * * [progress]: adding candidates to table 0.800 * * [progress]: iteration 3 / 4 0.800 * * * [progress]: picking best candidate 0.832 * * * * [pick]: Picked # 0.832 * * * [progress]: localizing error 0.845 * * * [progress]: generating rewritten candidates 0.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.859 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.873 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 0.878 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.884 * * * [progress]: generating series expansions 0.884 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.885 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.885 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of 3 in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 0.885 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.885 * [taylor]: Taking taylor expansion of 3 in x 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 0.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.886 * [taylor]: Taking taylor expansion of 3 in x 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.886 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.886 * [taylor]: Taking taylor expansion of 3 in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 0.886 * [taylor]: Taking taylor expansion of 1/2 in y 0.886 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.887 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.887 * [taylor]: Taking taylor expansion of 3 in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.888 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.888 * [taylor]: Taking taylor expansion of 3 in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.888 * [taylor]: Taking taylor expansion of 3 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.889 * [taylor]: Taking taylor expansion of 3 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of 1 in y 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 0.889 * [taylor]: Taking taylor expansion of 3/2 in y 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of 0 in y 0.890 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 0.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.890 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.891 * [taylor]: Taking taylor expansion of 3 in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.891 * [taylor]: Taking taylor expansion of 3 in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.891 * [taylor]: Taking taylor expansion of 3 in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of 1 in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.892 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 0.892 * [taylor]: Taking taylor expansion of 3/2 in y 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of 0 in y 0.892 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.893 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.893 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.893 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.893 * [taylor]: Taking taylor expansion of x in y 0.893 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.893 * [taylor]: Taking taylor expansion of 3 in y 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 0.893 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.893 * [taylor]: Taking taylor expansion of 3 in x 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 0.894 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.894 * [taylor]: Taking taylor expansion of 3 in x 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.894 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.894 * [taylor]: Taking taylor expansion of 3 in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 0.894 * [taylor]: Taking taylor expansion of 1/2 in y 0.895 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.895 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.895 * [taylor]: Taking taylor expansion of 3 in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 0.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of 3 in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.896 * [taylor]: Taking taylor expansion of 3 in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.897 * [taylor]: Taking taylor expansion of 3 in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of 1 in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 0.897 * [taylor]: Taking taylor expansion of 3/2 in y 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of 0 in y 0.898 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.899 * [taylor]: Taking taylor expansion of 3 in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.899 * [taylor]: Taking taylor expansion of 3 in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.899 * [taylor]: Taking taylor expansion of 3 in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of 1 in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.902 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 0.902 * [taylor]: Taking taylor expansion of 3/2 in y 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of 0 in y 0.903 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 0.903 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.903 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.903 * [taylor]: Taking taylor expansion of 2 in y 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.903 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.903 * [taylor]: Taking taylor expansion of 2 in x 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of 2 in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.904 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.904 * [taylor]: Taking taylor expansion of 2 in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.905 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.905 * [taylor]: Taking taylor expansion of 1/2 in y 0.905 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.905 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.905 * [taylor]: Taking taylor expansion of 2 in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.906 * [taylor]: Taking taylor expansion of 2 in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of 2 in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of 2 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of 1 in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.908 * [taylor]: Taking taylor expansion of 2 in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.909 * [taylor]: Taking taylor expansion of 2 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.909 * [taylor]: Taking taylor expansion of 2 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of 1 in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.910 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 0.910 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.910 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of 2 in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.911 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.911 * [taylor]: Taking taylor expansion of 2 in x 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.911 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.911 * [taylor]: Taking taylor expansion of 2 in x 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.912 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.912 * [taylor]: Taking taylor expansion of 2 in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.912 * [taylor]: Taking taylor expansion of 1/2 in y 0.912 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.912 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.912 * [taylor]: Taking taylor expansion of 2 in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.913 * [taylor]: Taking taylor expansion of 2 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.914 * [taylor]: Taking taylor expansion of 2 in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.914 * [taylor]: Taking taylor expansion of 2 in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of 1 in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.916 * [taylor]: Taking taylor expansion of 2 in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of 2 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of 2 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of 1 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.918 * * * [progress]: simplifying candidates 0.919 * [simplify]: Simplifying using # : (log (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (exp (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (* (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (sqrt (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt 1) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3))) (sqrt (+ (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (sqrt (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y)))) (sqrt (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (log (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (exp (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (* (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (sqrt (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt 1) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3))) (sqrt (+ (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (sqrt (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y)))) (sqrt (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) 0.925 * * [simplify]: iteration 0 : 149 enodes (cost 996 ) 0.928 * * [simplify]: iteration 1 : 437 enodes (cost 956 ) 0.939 * * [simplify]: iteration 2 : 1864 enodes (cost 956 ) 0.986 * * [simplify]: iteration 3 : 5001 enodes (cost 938 ) 0.990 * [simplify]: Simplified to: (log (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (exp (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (pow (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) 3) (fabs (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt 1) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3))) (sqrt (+ (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (sqrt (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y)))) (sqrt (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) 1/2 (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (log (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (exp (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (pow (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) 3) (fabs (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt 1) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3))) (sqrt (+ (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (sqrt (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y)))) (sqrt (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) 1/2 (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (fabs (* x (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (fabs x) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (fabs (* x (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (fabs x) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) 0.991 * * * [progress]: adding candidates to table 1.082 * * [progress]: iteration 4 / 4 1.082 * * * [progress]: picking best candidate 1.117 * * * * [pick]: Picked # 1.117 * * * [progress]: localizing error 1.136 * * * [progress]: generating rewritten candidates 1.136 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.168 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.181 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1) 1.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1) 1.193 * * * [progress]: generating series expansions 1.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.194 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.194 * [taylor]: Taking taylor expansion of x in y 1.194 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.194 * [taylor]: Taking taylor expansion of 3 in y 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.194 * [taylor]: Taking taylor expansion of 3 in x 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.194 * [taylor]: Taking taylor expansion of y in x 1.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.195 * [taylor]: Taking taylor expansion of 3 in x 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.195 * [taylor]: Taking taylor expansion of y in x 1.195 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.195 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.195 * [taylor]: Taking taylor expansion of 3 in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.195 * [taylor]: Taking taylor expansion of 0 in y 1.195 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.195 * [taylor]: Taking taylor expansion of 1/2 in y 1.195 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.195 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.195 * [taylor]: Taking taylor expansion of 3 in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.196 * [taylor]: Taking taylor expansion of 0 in y 1.197 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.197 * [taylor]: Taking taylor expansion of x in y 1.197 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.197 * [taylor]: Taking taylor expansion of 3 in y 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.197 * [taylor]: Taking taylor expansion of 3 in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.197 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.198 * [taylor]: Taking taylor expansion of 3 in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.198 * [taylor]: Taking taylor expansion of y in x 1.198 * [taylor]: Taking taylor expansion of 1 in y 1.198 * [taylor]: Taking taylor expansion of 0 in y 1.198 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.198 * [taylor]: Taking taylor expansion of 3/2 in y 1.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.198 * [taylor]: Taking taylor expansion of y in y 1.199 * [taylor]: Taking taylor expansion of 0 in y 1.200 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.200 * [taylor]: Taking taylor expansion of x in y 1.200 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.200 * [taylor]: Taking taylor expansion of 3 in y 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.200 * [taylor]: Taking taylor expansion of y in y 1.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.200 * [taylor]: Taking taylor expansion of 3 in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.200 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.200 * [taylor]: Taking taylor expansion of 3 in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.200 * [taylor]: Taking taylor expansion of y in x 1.201 * [taylor]: Taking taylor expansion of 1 in y 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.201 * [taylor]: Taking taylor expansion of 3/2 in y 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of 0 in y 1.202 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.202 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.202 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.202 * [taylor]: Taking taylor expansion of 3 in y 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.202 * [taylor]: Taking taylor expansion of 3 in x 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.202 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.203 * [taylor]: Taking taylor expansion of 3 in x 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.203 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.203 * [taylor]: Taking taylor expansion of 3 in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.203 * [taylor]: Taking taylor expansion of 0 in y 1.204 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.204 * [taylor]: Taking taylor expansion of 1/2 in y 1.204 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.204 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.204 * [taylor]: Taking taylor expansion of 3 in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of 0 in y 1.205 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.205 * [taylor]: Taking taylor expansion of x in y 1.205 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.205 * [taylor]: Taking taylor expansion of 3 in y 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.205 * [taylor]: Taking taylor expansion of 3 in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.206 * [taylor]: Taking taylor expansion of 3 in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.206 * [taylor]: Taking taylor expansion of 1 in y 1.206 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.207 * [taylor]: Taking taylor expansion of 3/2 in y 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.208 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.208 * [taylor]: Taking taylor expansion of x in y 1.208 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.208 * [taylor]: Taking taylor expansion of 3 in y 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.208 * [taylor]: Taking taylor expansion of y in y 1.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.208 * [taylor]: Taking taylor expansion of 3 in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.208 * [taylor]: Taking taylor expansion of y in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.209 * [taylor]: Taking taylor expansion of 3 in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.209 * [taylor]: Taking taylor expansion of y in x 1.209 * [taylor]: Taking taylor expansion of 1 in y 1.209 * [taylor]: Taking taylor expansion of 0 in y 1.209 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.209 * [taylor]: Taking taylor expansion of 3/2 in y 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of 0 in y 1.210 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1) 1.210 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.210 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.210 * [taylor]: Taking taylor expansion of x in y 1.210 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.210 * [taylor]: Taking taylor expansion of 2 in y 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.210 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.210 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of 2 in x 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of 2 in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.211 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.211 * [taylor]: Taking taylor expansion of 2 in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.211 * [taylor]: Taking taylor expansion of 0 in y 1.212 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.212 * [taylor]: Taking taylor expansion of 1/2 in y 1.212 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.212 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.212 * [taylor]: Taking taylor expansion of 2 in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of 0 in y 1.213 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.213 * [taylor]: Taking taylor expansion of x in y 1.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.213 * [taylor]: Taking taylor expansion of 2 in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.213 * [taylor]: Taking taylor expansion of 2 in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.213 * [taylor]: Taking taylor expansion of y in x 1.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.214 * [taylor]: Taking taylor expansion of 2 in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.214 * [taylor]: Taking taylor expansion of y in x 1.214 * [taylor]: Taking taylor expansion of 1 in y 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.215 * [taylor]: Taking taylor expansion of 0 in y 1.215 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.215 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.215 * [taylor]: Taking taylor expansion of x in y 1.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.215 * [taylor]: Taking taylor expansion of 2 in y 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.215 * [taylor]: Taking taylor expansion of y in y 1.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.215 * [taylor]: Taking taylor expansion of 2 in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.216 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.216 * [taylor]: Taking taylor expansion of 2 in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.216 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of 1 in y 1.216 * [taylor]: Taking taylor expansion of 0 in y 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.216 * [taylor]: Taking taylor expansion of y in y 1.217 * [taylor]: Taking taylor expansion of 0 in y 1.217 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1) 1.217 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.217 * [taylor]: Taking taylor expansion of x in y 1.217 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.217 * [taylor]: Taking taylor expansion of 2 in y 1.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.217 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.218 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.218 * [taylor]: Taking taylor expansion of 2 in x 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.218 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.218 * [taylor]: Taking taylor expansion of 2 in x 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.218 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.218 * [taylor]: Taking taylor expansion of 2 in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.219 * [taylor]: Taking taylor expansion of 0 in y 1.219 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.219 * [taylor]: Taking taylor expansion of 1/2 in y 1.219 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.219 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.219 * [taylor]: Taking taylor expansion of 2 in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.220 * [taylor]: Taking taylor expansion of 0 in y 1.220 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.220 * [taylor]: Taking taylor expansion of x in y 1.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.220 * [taylor]: Taking taylor expansion of 2 in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.220 * [taylor]: Taking taylor expansion of 2 in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.220 * [taylor]: Taking taylor expansion of y in x 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.221 * [taylor]: Taking taylor expansion of 2 in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.221 * [taylor]: Taking taylor expansion of y in x 1.221 * [taylor]: Taking taylor expansion of 1 in y 1.221 * [taylor]: Taking taylor expansion of 0 in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.222 * [taylor]: Taking taylor expansion of 0 in y 1.222 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.222 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.222 * [taylor]: Taking taylor expansion of x in y 1.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.222 * [taylor]: Taking taylor expansion of 2 in y 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.223 * [taylor]: Taking taylor expansion of 2 in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.223 * [taylor]: Taking taylor expansion of y in x 1.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.223 * [taylor]: Taking taylor expansion of 2 in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.223 * [taylor]: Taking taylor expansion of y in x 1.223 * [taylor]: Taking taylor expansion of 1 in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of 0 in y 1.224 * * * [progress]: simplifying candidates 1.225 * [simplify]: Simplifying using # : (log (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (exp (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (* (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y))))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (* (* (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (sqrt (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y))))) (sqrt (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y)))) (sqrt 1) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y))) (sqrt (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) 3) (pow (* y y) 3))) (sqrt (+ (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* y y))))) (sqrt (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))))) (* (* y y) (* y y)))) (sqrt (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* (sqrt (sqrt (+ (+ (* x 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(* x x) (* y y)) (* y y))))) (fabs (* x (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (fabs x) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) 1.309 * * * [progress]: adding candidates to table 1.398 * [progress]: [Phase 3 of 3] Extracting. 1.398 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.405 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.405 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # # #) 1.468 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # # #) 1.531 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # # # # # # #) 1.600 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # #) 1.666 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.732 * * * [regime]: Found split indices: #