15.459 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.028 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.029 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.030 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.031 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.032 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.034 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.036 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.038 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.040 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.042 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.048 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.074 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.299 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.301 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.309 * * [progress]: iteration 1 / 4 0.309 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.321 * * * [progress]: generating rewritten candidates 0.321 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.329 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.332 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.339 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of 3 in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of 3 in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of 3 in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of 3 in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 1 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of 3 in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of 3 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of 3 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of 1 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.342 * [taylor]: Taking taylor expansion of 3 in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of 3 in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of 3 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of 3 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of 3 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.346 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.346 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.351 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of 2 in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of 2 in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of 2 in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of 2 in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 1 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.353 * [taylor]: Taking taylor expansion of 2 in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of 2 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of 2 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of 1 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.354 * [taylor]: Taking taylor expansion of 2 in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of 2 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 2 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 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 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 (* 2 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 2 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 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of 1 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of 2 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 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * * * [progress]: simplifying candidates 0.358 * [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))) 0.362 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.367 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.384 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.481 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.483 * [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))) 0.484 * * * [progress]: adding candidates to table 0.596 * * [progress]: iteration 2 / 4 0.597 * * * [progress]: picking best candidate 0.625 * * * * [pick]: Picked # 0.625 * * * [progress]: localizing error 0.634 * * * [progress]: generating rewritten candidates 0.634 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.642 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.647 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.661 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.677 * * * [progress]: generating series expansions 0.677 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.677 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.677 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.677 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.677 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.677 * [taylor]: Taking taylor expansion of 2 in y 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.678 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.678 * [taylor]: Taking taylor expansion of 2 in x 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.678 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.678 * [taylor]: Taking taylor expansion of 2 in x 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.679 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.679 * [taylor]: Taking taylor expansion of 2 in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.679 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.679 * [taylor]: Taking taylor expansion of 1/2 in y 0.679 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.679 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.679 * [taylor]: Taking taylor expansion of 2 in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.680 * [taylor]: Taking taylor expansion of 2 in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.681 * [taylor]: Taking taylor expansion of 2 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.681 * [taylor]: Taking taylor expansion of 2 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of 1 in y 0.681 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.683 * [taylor]: Taking taylor expansion of 2 in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.683 * [taylor]: Taking taylor expansion of 2 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.683 * [taylor]: Taking taylor expansion of 2 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of 1 in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.685 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.685 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.685 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.685 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of 2 in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.685 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.685 * [taylor]: Taking taylor expansion of 2 in x 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.685 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.686 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.686 * [taylor]: Taking taylor expansion of 2 in x 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.686 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.686 * [taylor]: Taking taylor expansion of 2 in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.686 * [taylor]: Taking taylor expansion of 1/2 in y 0.687 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.687 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.687 * [taylor]: Taking taylor expansion of 2 in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.688 * [taylor]: Taking taylor expansion of 2 in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.688 * [taylor]: Taking taylor expansion of 2 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.688 * [taylor]: Taking taylor expansion of 2 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of 1 in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.690 * [taylor]: Taking taylor expansion of 2 in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.690 * [taylor]: Taking taylor expansion of 2 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.691 * [taylor]: Taking taylor expansion of 2 in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.691 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of 1 in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.692 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.692 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.692 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.692 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of 2 in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of 2 in x 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of 2 in x 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.693 * [taylor]: Taking taylor expansion of 2 in y 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [taylor]: Taking taylor expansion of 1 in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.694 * [taylor]: Taking taylor expansion of 2 in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.694 * [taylor]: Taking taylor expansion of 2 in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of 2 in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of 1 in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of 2 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.697 * [taylor]: Taking taylor expansion of 2 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.697 * [taylor]: Taking taylor expansion of 2 in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.697 * [taylor]: Taking taylor expansion of 2 in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of 1 in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.698 * [taylor]: Taking taylor expansion of 2 in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.699 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of 3 in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.700 * [taylor]: Taking taylor expansion of 3 in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.700 * [taylor]: Taking taylor expansion of 3 in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of 3 in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of 1 in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.701 * [taylor]: Taking taylor expansion of x in y 0.701 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.701 * [taylor]: Taking taylor expansion of 3 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.701 * [taylor]: Taking taylor expansion of 3 in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.702 * [taylor]: Taking taylor expansion of 3 in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of 1 in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.702 * [taylor]: Taking taylor expansion of 3 in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of 3 in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of 3 in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of 3 in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of 1 in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.705 * [taylor]: Taking taylor expansion of 3 in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.706 * * * [progress]: simplifying candidates 0.707 * [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))) 0.715 * * [simplify]: iteration 0 : 244 enodes (cost 1203 ) 0.721 * * [simplify]: iteration 1 : 1165 enodes (cost 1041 ) 0.748 * * [simplify]: iteration 2 : 5001 enodes (cost 979 ) 0.753 * [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))) 0.754 * * * [progress]: adding candidates to table 1.036 * * [progress]: iteration 3 / 4 1.036 * * * [progress]: picking best candidate 1.076 * * * * [pick]: Picked # 1.076 * * * [progress]: localizing error 1.088 * * * [progress]: generating rewritten candidates 1.088 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.102 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 1.121 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.127 * * * [progress]: generating series expansions 1.127 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.127 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.127 * [taylor]: Taking taylor expansion of x in y 1.127 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.127 * [taylor]: Taking taylor expansion of 3 in y 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.128 * [taylor]: Taking taylor expansion of 3 in x 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.128 * [taylor]: Taking taylor expansion of 3 in x 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.129 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.129 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.129 * [taylor]: Taking taylor expansion of 3 in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of 0 in y 1.129 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.129 * [taylor]: Taking taylor expansion of 1/2 in y 1.129 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.129 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.129 * [taylor]: Taking taylor expansion of 3 in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.130 * [taylor]: Taking taylor expansion of 0 in y 1.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.131 * [taylor]: Taking taylor expansion of x in y 1.131 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.131 * [taylor]: Taking taylor expansion of 3 in y 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.131 * [taylor]: Taking taylor expansion of 3 in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.131 * [taylor]: Taking taylor expansion of 3 in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.131 * [taylor]: Taking taylor expansion of 1 in y 1.132 * [taylor]: Taking taylor expansion of 0 in y 1.132 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.132 * [taylor]: Taking taylor expansion of 3/2 in y 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.132 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.133 * [taylor]: Taking taylor expansion of x in y 1.133 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.133 * [taylor]: Taking taylor expansion of 3 in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.133 * [taylor]: Taking taylor expansion of 3 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.134 * [taylor]: Taking taylor expansion of 3 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [taylor]: Taking taylor expansion of 1 in y 1.134 * [taylor]: Taking taylor expansion of 0 in y 1.134 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of 3/2 in y 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.134 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.135 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.135 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.135 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.136 * [taylor]: Taking taylor expansion of 3 in y 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.136 * [taylor]: Taking taylor expansion of 3 in x 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.136 * [taylor]: Taking taylor expansion of 3 in x 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.137 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.137 * [taylor]: Taking taylor expansion of 3 in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.137 * [taylor]: Taking taylor expansion of 1/2 in y 1.137 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.137 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.137 * [taylor]: Taking taylor expansion of 3 in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.138 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.139 * [taylor]: Taking taylor expansion of 3 in y 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.139 * [taylor]: Taking taylor expansion of 3 in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.139 * [taylor]: Taking taylor expansion of 3 in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.139 * [taylor]: Taking taylor expansion of 1 in y 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.140 * [taylor]: Taking taylor expansion of 3/2 in y 1.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of 0 in y 1.141 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.141 * [taylor]: Taking taylor expansion of x in y 1.141 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.141 * [taylor]: Taking taylor expansion of 3 in y 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.141 * [taylor]: Taking taylor expansion of 3 in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.142 * [taylor]: Taking taylor expansion of y in x 1.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.142 * [taylor]: Taking taylor expansion of 3 in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.142 * [taylor]: Taking taylor expansion of y in x 1.142 * [taylor]: Taking taylor expansion of 1 in y 1.142 * [taylor]: Taking taylor expansion of 0 in y 1.142 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.142 * [taylor]: Taking taylor expansion of 3/2 in y 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of 0 in y 1.143 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 1.143 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.143 * [taylor]: Taking taylor expansion of x in y 1.143 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.143 * [taylor]: Taking taylor expansion of 2 in y 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.144 * [taylor]: Taking taylor expansion of 2 in x 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.144 * [taylor]: Taking taylor expansion of 2 in x 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.145 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.145 * [taylor]: Taking taylor expansion of 2 in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.145 * [taylor]: Taking taylor expansion of 0 in y 1.145 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.145 * [taylor]: Taking taylor expansion of 1/2 in y 1.145 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.145 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.145 * [taylor]: Taking taylor expansion of 2 in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.146 * [taylor]: Taking taylor expansion of x in y 1.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.146 * [taylor]: Taking taylor expansion of 2 in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.146 * [taylor]: Taking taylor expansion of 2 in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.147 * [taylor]: Taking taylor expansion of 2 in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.147 * [taylor]: Taking taylor expansion of 1 in y 1.147 * [taylor]: Taking taylor expansion of 0 in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.148 * [taylor]: Taking taylor expansion of 0 in y 1.148 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.148 * [taylor]: Taking taylor expansion of x in y 1.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.148 * [taylor]: Taking taylor expansion of 2 in y 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.149 * [taylor]: Taking taylor expansion of 2 in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.149 * [taylor]: Taking taylor expansion of 2 in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of 1 in y 1.149 * [taylor]: Taking taylor expansion of 0 in y 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.150 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.150 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.150 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.151 * [taylor]: Taking taylor expansion of x in y 1.151 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.151 * [taylor]: Taking taylor expansion of 2 in y 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.151 * [taylor]: Taking taylor expansion of 2 in x 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.151 * [taylor]: Taking taylor expansion of y in x 1.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.151 * [taylor]: Taking taylor expansion of 2 in x 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.151 * [taylor]: Taking taylor expansion of y in x 1.152 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.152 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.152 * [taylor]: Taking taylor expansion of 2 in y 1.152 * [taylor]: Taking taylor expansion of y in y 1.152 * [taylor]: Taking taylor expansion of 0 in y 1.152 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.152 * [taylor]: Taking taylor expansion of 1/2 in y 1.152 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.152 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.152 * [taylor]: Taking taylor expansion of 2 in y 1.152 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.153 * [taylor]: Taking taylor expansion of x in y 1.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.153 * [taylor]: Taking taylor expansion of 2 in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.154 * [taylor]: Taking taylor expansion of 2 in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.154 * [taylor]: Taking taylor expansion of 2 in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of 1 in y 1.154 * [taylor]: Taking taylor expansion of 0 in y 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.155 * [taylor]: Taking taylor expansion of 0 in y 1.156 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.156 * [taylor]: Taking taylor expansion of x in y 1.156 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.156 * [taylor]: Taking taylor expansion of 2 in y 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.156 * [taylor]: Taking taylor expansion of y in y 1.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.156 * [taylor]: Taking taylor expansion of 2 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.156 * [taylor]: Taking taylor expansion of 2 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.157 * [taylor]: Taking taylor expansion of 1 in y 1.157 * [taylor]: Taking taylor expansion of 0 in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.157 * [taylor]: Taking taylor expansion of 0 in y 1.158 * * * [progress]: simplifying candidates 1.161 * [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) 1.166 * * [simplify]: iteration 0 : 149 enodes (cost 996 ) 1.169 * * [simplify]: iteration 1 : 437 enodes (cost 956 ) 1.178 * * [simplify]: iteration 2 : 1864 enodes (cost 956 ) 1.220 * * [simplify]: iteration 3 : 5001 enodes (cost 938 ) 1.224 * [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) 1.225 * * * [progress]: adding candidates to table 1.544 * * [progress]: iteration 4 / 4 1.544 * * * [progress]: picking best candidate 1.586 * * * * [pick]: Picked # 1.586 * * * [progress]: localizing error 1.607 * * * [progress]: generating rewritten candidates 1.607 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.637 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.651 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1) 1.656 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1) 1.662 * * * [progress]: generating series expansions 1.662 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.663 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.663 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.663 * [taylor]: Taking taylor expansion of x in y 1.663 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.663 * [taylor]: Taking taylor expansion of 3 in y 1.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.663 * [taylor]: Taking taylor expansion of y in y 1.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.663 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.663 * [taylor]: Taking taylor expansion of 3 in x 1.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.663 * [taylor]: Taking taylor expansion of y in x 1.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.663 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.663 * [taylor]: Taking taylor expansion of 3 in x 1.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.663 * [taylor]: Taking taylor expansion of y in x 1.664 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.664 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.664 * [taylor]: Taking taylor expansion of 3 in y 1.664 * [taylor]: Taking taylor expansion of y in y 1.664 * [taylor]: Taking taylor expansion of 0 in y 1.664 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.664 * [taylor]: Taking taylor expansion of 1/2 in y 1.664 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.664 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.664 * [taylor]: Taking taylor expansion of 3 in y 1.664 * [taylor]: Taking taylor expansion of y in y 1.665 * [taylor]: Taking taylor expansion of 0 in y 1.666 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.666 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.666 * [taylor]: Taking taylor expansion of x in y 1.666 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.666 * [taylor]: Taking taylor expansion of 3 in y 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.666 * [taylor]: Taking taylor expansion of y in y 1.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.666 * [taylor]: Taking taylor expansion of 3 in x 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.666 * [taylor]: Taking taylor expansion of y in x 1.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.667 * [taylor]: Taking taylor expansion of 3 in x 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.667 * [taylor]: Taking taylor expansion of y in x 1.667 * [taylor]: Taking taylor expansion of 1 in y 1.667 * [taylor]: Taking taylor expansion of 0 in y 1.667 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.667 * [taylor]: Taking taylor expansion of 3/2 in y 1.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.667 * [taylor]: Taking taylor expansion of y in y 1.668 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.669 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.669 * [taylor]: Taking taylor expansion of x in y 1.669 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.669 * [taylor]: Taking taylor expansion of 3 in y 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.669 * [taylor]: Taking taylor expansion of y in y 1.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.669 * [taylor]: Taking taylor expansion of 3 in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.669 * [taylor]: Taking taylor expansion of y in x 1.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.669 * [taylor]: Taking taylor expansion of 3 in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.669 * [taylor]: Taking taylor expansion of y in x 1.670 * [taylor]: Taking taylor expansion of 1 in y 1.670 * [taylor]: Taking taylor expansion of 0 in y 1.670 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.670 * [taylor]: Taking taylor expansion of 3/2 in y 1.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.670 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of 0 in y 1.671 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.671 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.671 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.671 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.671 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.671 * [taylor]: Taking taylor expansion of x in y 1.671 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.671 * [taylor]: Taking taylor expansion of 3 in y 1.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.671 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.671 * [taylor]: Taking taylor expansion of 3 in x 1.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.671 * [taylor]: Taking taylor expansion of y in x 1.672 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.672 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.672 * [taylor]: Taking taylor expansion of 3 in x 1.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.672 * [taylor]: Taking taylor expansion of y in x 1.672 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.672 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.672 * [taylor]: Taking taylor expansion of 3 in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of 0 in y 1.673 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.673 * [taylor]: Taking taylor expansion of 1/2 in y 1.673 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.673 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.673 * [taylor]: Taking taylor expansion of 3 in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.674 * [taylor]: Taking taylor expansion of 0 in y 1.674 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.674 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.674 * [taylor]: Taking taylor expansion of x in y 1.674 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.674 * [taylor]: Taking taylor expansion of 3 in y 1.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.674 * [taylor]: Taking taylor expansion of y in y 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.675 * [taylor]: Taking taylor expansion of 3 in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.675 * [taylor]: Taking taylor expansion of 3 in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of 1 in y 1.675 * [taylor]: Taking taylor expansion of 0 in y 1.676 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.676 * [taylor]: Taking taylor expansion of 3/2 in y 1.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.677 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.677 * [taylor]: Taking taylor expansion of x in y 1.677 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.677 * [taylor]: Taking taylor expansion of 3 in y 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.677 * [taylor]: Taking taylor expansion of 3 in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.678 * [taylor]: Taking taylor expansion of 3 in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of 1 in y 1.678 * [taylor]: Taking taylor expansion of 0 in y 1.678 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.678 * [taylor]: Taking taylor expansion of 3/2 in y 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.679 * [taylor]: Taking taylor expansion of 0 in y 1.679 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1) 1.679 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.679 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.679 * [taylor]: Taking taylor expansion of x in y 1.679 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.679 * [taylor]: Taking taylor expansion of 2 in y 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.679 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.679 * [taylor]: Taking taylor expansion of 2 in x 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.680 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.680 * [taylor]: Taking taylor expansion of 2 in x 1.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.680 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.680 * [taylor]: Taking taylor expansion of 2 in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [taylor]: Taking taylor expansion of 0 in y 1.681 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.681 * [taylor]: Taking taylor expansion of 1/2 in y 1.681 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.681 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.681 * [taylor]: Taking taylor expansion of 2 in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.681 * [taylor]: Taking taylor expansion of 0 in y 1.682 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.682 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.682 * [taylor]: Taking taylor expansion of x in y 1.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.682 * [taylor]: Taking taylor expansion of 2 in y 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.682 * [taylor]: Taking taylor expansion of y in y 1.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.682 * [taylor]: Taking taylor expansion of 2 in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.683 * [taylor]: Taking taylor expansion of 2 in x 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.683 * [taylor]: Taking taylor expansion of y in x 1.683 * [taylor]: Taking taylor expansion of 1 in y 1.683 * [taylor]: Taking taylor expansion of 0 in y 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.684 * [taylor]: Taking taylor expansion of 0 in y 1.684 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.684 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.684 * [taylor]: Taking taylor expansion of x in y 1.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.684 * [taylor]: Taking taylor expansion of 2 in y 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.684 * [taylor]: Taking taylor expansion of y in y 1.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.685 * [taylor]: Taking taylor expansion of 2 in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.685 * [taylor]: Taking taylor expansion of 2 in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.685 * [taylor]: Taking taylor expansion of 1 in y 1.685 * [taylor]: Taking taylor expansion of 0 in y 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.686 * [taylor]: Taking taylor expansion of y in y 1.686 * [taylor]: Taking taylor expansion of 0 in y 1.686 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1) 1.686 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.686 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.686 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.686 * [taylor]: Taking taylor expansion of x in y 1.686 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.686 * [taylor]: Taking taylor expansion of 2 in y 1.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.686 * [taylor]: Taking taylor expansion of y in y 1.687 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.687 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.687 * [taylor]: Taking taylor expansion of 2 in x 1.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.687 * [taylor]: Taking taylor expansion of y in x 1.687 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.687 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.687 * [taylor]: Taking taylor expansion of 2 in x 1.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.687 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.688 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.688 * [taylor]: Taking taylor expansion of 2 in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.688 * [taylor]: Taking taylor expansion of 1/2 in y 1.688 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.688 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.688 * [taylor]: Taking taylor expansion of 2 in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.689 * [taylor]: Taking taylor expansion of 0 in y 1.689 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.689 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.689 * [taylor]: Taking taylor expansion of x in y 1.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.689 * [taylor]: Taking taylor expansion of 2 in y 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.690 * [taylor]: Taking taylor expansion of 2 in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.690 * [taylor]: Taking taylor expansion of 2 in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.690 * [taylor]: Taking taylor expansion of 1 in y 1.690 * [taylor]: Taking taylor expansion of 0 in y 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.691 * [taylor]: Taking taylor expansion of 0 in y 1.691 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.691 * [taylor]: Taking taylor expansion of x in y 1.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.692 * [taylor]: Taking taylor expansion of 2 in y 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.692 * [taylor]: Taking taylor expansion of y in y 1.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.692 * [taylor]: Taking taylor expansion of 2 in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.692 * [taylor]: Taking taylor expansion of y in x 1.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.692 * [taylor]: Taking taylor expansion of 2 in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.692 * [taylor]: Taking taylor expansion of y in x 1.692 * [taylor]: Taking taylor expansion of 1 in y 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.693 * [taylor]: Taking taylor expansion of y in y 1.693 * [taylor]: Taking taylor expansion of 0 in y 1.693 * * * [progress]: simplifying candidates 1.696 * [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) 1.780 * * * [progress]: adding candidates to table 2.199 * [progress]: [Phase 3 of 3] Extracting. 2.199 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.206 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 2.206 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # # #) 2.284 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # # #) 2.363 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # # # # # # #) 2.446 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # #) 2.523 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 2.603 * * * [regime]: Found split indices: #