31.703 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.027 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.028 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.029 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.032 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.033 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.035 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.037 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.039 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.042 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.047 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.075 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.302 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.304 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.308 * * [progress]: iteration 1 / 4 0.308 * * * [progress]: picking best candidate 0.312 * * * * [pick]: Picked # 0.312 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.322 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.328 * * * [progress]: generating series expansions 0.328 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.328 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.328 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of 3 in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of 3 in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.329 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of 3 in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of 3 in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.330 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.330 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of 3 in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of 3 in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.332 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.332 * [taylor]: Taking taylor expansion of 3 in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of 3 in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of 3 in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of 3 in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.333 * [taylor]: Taking taylor expansion of 0 in x 0.333 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.333 * [taylor]: Taking taylor expansion of 3 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of 3 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.334 * [taylor]: Taking taylor expansion of 3 in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 3 in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.335 * [taylor]: Taking taylor expansion of 0 in x 0.335 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of 3 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of 3 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of 3 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 3 in x 0.336 * [taylor]: Taking taylor expansion of 0 in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.338 * * * [progress]: simplifying candidates 0.338 * [simplify]: Simplifying using # : (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (exp (* 3 (* y y))) (exp (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (* (* (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x))) (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (pow (* 3 (* y y)) 3) (pow (* x x) 3)) (+ (* (* 3 (* y y)) (* 3 (* y y))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* x x)))) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.341 * * [simplify]: iteration 0 : 164 enodes (cost 168 ) 0.345 * * [simplify]: iteration 1 : 654 enodes (cost 147 ) 0.357 * * [simplify]: iteration 2 : 2426 enodes (cost 139 ) 0.411 * * [simplify]: iteration 3 : 5002 enodes (cost 139 ) 0.413 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (exp (+ (* 3 (* y y)) (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (+ (* 9 (pow y 4)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* 3 (* 3 (pow y 4)))) (- (* 3 (* y y)) (* x x)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.413 * * * [progress]: adding candidates to table 0.452 * * [progress]: iteration 2 / 4 0.452 * * * [progress]: picking best candidate 0.467 * * * * [pick]: Picked # 0.467 * * * [progress]: localizing error 0.473 * * * [progress]: generating rewritten candidates 0.473 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.481 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.489 * * * [progress]: generating series expansions 0.489 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.490 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of 3 in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of 3 in x 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of 3 in x 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of 3 in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of 1 in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.492 * [taylor]: Taking taylor expansion of 3 in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.492 * [taylor]: Taking taylor expansion of 3 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.492 * [taylor]: Taking taylor expansion of 3 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of 1 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.493 * [taylor]: Taking taylor expansion of 3 in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of 3 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of 3 in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of 3 in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.496 * [taylor]: Taking taylor expansion of 3 in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.497 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.497 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of 2 in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of 2 in x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of 2 in x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of 2 in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.499 * [taylor]: Taking taylor expansion of 2 in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.499 * [taylor]: Taking taylor expansion of 2 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.499 * [taylor]: Taking taylor expansion of 2 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of 1 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of 2 in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.501 * [taylor]: Taking taylor expansion of 2 in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.502 * [taylor]: Taking taylor expansion of 2 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.502 * [taylor]: Taking taylor expansion of 2 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of 1 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.502 * [taylor]: Taking taylor expansion of 2 in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.504 * * * [progress]: simplifying candidates 0.504 * [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))) (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) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.508 * * [simplify]: iteration 0 : 166 enodes (cost 282 ) 0.511 * * [simplify]: iteration 1 : 781 enodes (cost 246 ) 0.526 * * [simplify]: iteration 2 : 3541 enodes (cost 225 ) 0.606 * * [simplify]: iteration 3 : 5001 enodes (cost 214 ) 0.608 * [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))) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (* x x) (* y y)) (* y (+ 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) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.608 * * * [progress]: adding candidates to table 0.639 * * [progress]: iteration 3 / 4 0.639 * * * [progress]: picking best candidate 0.654 * * * * [pick]: Picked # 0.654 * * * [progress]: localizing error 0.662 * * * [progress]: generating rewritten candidates 0.662 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.666 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.671 * * * [progress]: generating series expansions 0.671 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.671 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.671 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.671 * [taylor]: Taking taylor expansion of 3 in y 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.672 * [taylor]: Taking taylor expansion of 3 in y 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.672 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.672 * [taylor]: Taking taylor expansion of 3 in y 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of 3 in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.673 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of 3 in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of 3 in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.675 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.675 * [taylor]: Taking taylor expansion of 3 in x 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.675 * [taylor]: Taking taylor expansion of 3 in y 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.675 * [taylor]: Taking taylor expansion of 3 in y 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of 0 in x 0.675 * [taylor]: Taking taylor expansion of 3 in x 0.675 * [taylor]: Taking taylor expansion of 0 in x 0.676 * [taylor]: Taking taylor expansion of 0 in x 0.676 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of 3 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.676 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.676 * [taylor]: Taking taylor expansion of 3 in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.677 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.677 * [taylor]: Taking taylor expansion of 3 in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of 3 in x 0.677 * [taylor]: Taking taylor expansion of 0 in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of 0 in x 0.678 * [taylor]: Taking taylor expansion of 0 in x 0.678 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (* 3 (/ 1 (pow y 2))) in x 0.678 * [taylor]: Taking taylor expansion of 3 in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.679 * [taylor]: Taking taylor expansion of 3 in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.679 * [taylor]: Taking taylor expansion of 3 in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of 3 in x 0.679 * [taylor]: Taking taylor expansion of 0 in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of 0 in x 0.680 * [taylor]: Taking taylor expansion of 0 in x 0.681 * * * [progress]: simplifying candidates 0.681 * [simplify]: Simplifying using # : (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* (* 3 y) y)) (exp (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (* (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))) (- (* (* 3 y) y) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.684 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.688 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.708 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.802 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.804 * [simplify]: Simplified to: (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) 3) (* 3 y) (pow y 2) (exp (+ (* (* 3 y) y) (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (- (* (* 3 y) y) (* x x))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 2)) (pow y 2))) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.804 * * * [progress]: adding candidates to table 0.836 * * [progress]: iteration 4 / 4 0.836 * * * [progress]: picking best candidate 0.854 * * * * [pick]: Picked # 0.854 * * * [progress]: localizing error 0.864 * * * [progress]: generating rewritten candidates 0.864 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.869 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.874 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.887 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.903 * * * [progress]: generating series expansions 0.903 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.903 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.903 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.903 * [taylor]: Taking taylor expansion of 2 in y 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of 2 in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of 2 in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.905 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.905 * [taylor]: Taking taylor expansion of 2 in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.905 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.905 * [taylor]: Taking taylor expansion of 1/2 in y 0.905 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.905 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.905 * [taylor]: Taking taylor expansion of 2 in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.907 * [taylor]: Taking taylor expansion of 2 in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of 2 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of 2 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of 1 in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.909 * [taylor]: Taking taylor expansion of 2 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.910 * [taylor]: Taking taylor expansion of 2 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.910 * [taylor]: Taking taylor expansion of 2 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of 1 in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.912 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.912 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of 2 in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.912 * [taylor]: Taking taylor expansion of 2 in x 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.913 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.913 * [taylor]: Taking taylor expansion of 2 in x 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.913 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.913 * [taylor]: Taking taylor expansion of 2 in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.914 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.914 * [taylor]: Taking taylor expansion of 1/2 in y 0.914 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.914 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.914 * [taylor]: Taking taylor expansion of 2 in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.915 * [taylor]: Taking taylor expansion of 2 in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of 2 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of 2 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of 1 in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.918 * [taylor]: Taking taylor expansion of 2 in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of 2 in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of 2 in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of 1 in y 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.920 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.920 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.920 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of 2 in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.920 * [taylor]: Taking taylor expansion of 2 in x 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.920 * [taylor]: Taking taylor expansion of 2 in x 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.921 * [taylor]: Taking taylor expansion of 2 in y 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 1 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.922 * [taylor]: Taking taylor expansion of 2 in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.922 * [taylor]: Taking taylor expansion of 2 in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.923 * [taylor]: Taking taylor expansion of 2 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of 1 in y 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.923 * [taylor]: Taking taylor expansion of 2 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.925 * [taylor]: Taking taylor expansion of 2 in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.925 * [taylor]: Taking taylor expansion of 2 in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.926 * [taylor]: Taking taylor expansion of 2 in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of 1 in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.926 * [taylor]: Taking taylor expansion of 2 in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.927 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.928 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.928 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of 3 in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.928 * [taylor]: Taking taylor expansion of 3 in x 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.928 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.928 * [taylor]: Taking taylor expansion of 3 in x 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.928 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of 3 in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of 1 in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.930 * [taylor]: Taking taylor expansion of 3 in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.930 * [taylor]: Taking taylor expansion of 3 in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.930 * [taylor]: Taking taylor expansion of 3 in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of 1 in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.931 * [taylor]: Taking taylor expansion of 3 in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.933 * [taylor]: Taking taylor expansion of 3 in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.933 * [taylor]: Taking taylor expansion of 3 in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.933 * [taylor]: Taking taylor expansion of 3 in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of 1 in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.934 * [taylor]: Taking taylor expansion of 3 in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.934 * [taylor]: 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(* (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))) 0.947 * * [simplify]: iteration 0 : 244 enodes (cost 1203 ) 0.953 * * [simplify]: 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(* 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))) 0.989 * * * [progress]: adding candidates to table 1.074 * [progress]: [Phase 3 of 3] Extracting. 1.074 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.076 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.076 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 1.125 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 1.175 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # # #) 1.226 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.276 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.327 * * * [regime]: Found split indices: #