24.458 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.025 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.028 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.031 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.033 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.035 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.037 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.039 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.042 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.048 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.076 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.304 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.305 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.311 * * [progress]: iteration 1 / 4 0.311 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.324 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.329 * * * [progress]: generating series expansions 0.330 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 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 0.338 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of 3 in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y 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 0.347 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of 3 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 (/ 3 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of 3 in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.355 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.355 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.355 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of 3 in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 (* 3 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of 3 in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of 3 in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.357 * [taylor]: Taking taylor expansion of 3 in x 0.359 * [taylor]: Taking taylor expansion of 0 in x 0.361 * [taylor]: Taking taylor expansion of 0 in x 0.362 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of 3 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.363 * [taylor]: Taking taylor expansion of 3 in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.364 * [taylor]: Taking taylor expansion of 3 in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of 3 in x 0.366 * [taylor]: Taking taylor expansion of 0 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of 0 in x 0.374 * [taylor]: Taking taylor expansion of 0 in x 0.375 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.376 * [taylor]: Taking taylor expansion of 3 in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.376 * [taylor]: Taking taylor expansion of 3 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of 3 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 3 in x 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 0 in x 0.387 * [taylor]: Taking taylor expansion of 0 in x 0.388 * * * [progress]: simplifying candidates 0.389 * [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))) 0.398 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.402 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.415 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.472 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.474 * [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)) (+ (pow x 4) (- (* 9 (pow y 4)) (* (* 3 (* y y)) (* x x)))) (+ (* (- (pow x 3)) x) (* (* 9 (pow y 3)) y)) (- (* 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))) 0.474 * * * [progress]: adding candidates to table 0.520 * * [progress]: iteration 2 / 4 0.520 * * * [progress]: picking best candidate 0.533 * * * * [pick]: Picked # 0.533 * * * [progress]: localizing error 0.539 * * * [progress]: generating rewritten candidates 0.539 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.543 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.549 * * * [progress]: generating series expansions 0.549 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.549 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.549 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.549 * [taylor]: Taking taylor expansion of 3 in y 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.549 * [taylor]: Taking taylor expansion of 3 in y 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.557 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.558 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of 3 in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of 3 in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.565 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.566 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of 3 in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of 3 in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.574 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.574 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of 3 in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of 3 in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of 3 in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of 0 in x 0.576 * [taylor]: Taking taylor expansion of 3 in x 0.578 * [taylor]: Taking taylor expansion of 0 in x 0.580 * [taylor]: Taking taylor expansion of 0 in x 0.580 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of 3 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.581 * [taylor]: Taking taylor expansion of 3 in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.582 * [taylor]: Taking taylor expansion of 3 in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of 3 in x 0.584 * [taylor]: Taking taylor expansion of 0 in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of 0 in x 0.592 * [taylor]: Taking taylor expansion of 0 in x 0.593 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.594 * [taylor]: Taking taylor expansion of 3 in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.594 * [taylor]: Taking taylor expansion of 3 in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.595 * [taylor]: Taking taylor expansion of 3 in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 3 in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of 0 in x 0.605 * [taylor]: Taking taylor expansion of 0 in x 0.606 * * * [progress]: simplifying candidates 0.607 * [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))) 0.610 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.615 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.635 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.730 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.736 * [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)) (+ (* (- (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))) 0.736 * * * [progress]: adding candidates to table 0.775 * * [progress]: iteration 3 / 4 0.775 * * * [progress]: picking best candidate 0.784 * * * * [pick]: Picked # 0.785 * * * [progress]: localizing error 0.791 * * * [progress]: generating rewritten candidates 0.791 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.799 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.803 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.809 * * * [progress]: generating series expansions 0.813 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.813 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.813 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.813 * [taylor]: Taking taylor expansion of x in y 0.813 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.813 * [taylor]: Taking taylor expansion of 3 in y 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of 3 in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of 3 in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.814 * [taylor]: Taking taylor expansion of 3 in y 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of 1 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.822 * [taylor]: Taking taylor expansion of 3 in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.824 * [taylor]: Taking taylor expansion of 3 in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.824 * [taylor]: Taking taylor expansion of 3 in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of 1 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.827 * [taylor]: Taking taylor expansion of 3 in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.836 * [taylor]: Taking taylor expansion of 3 in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.837 * [taylor]: Taking taylor expansion of 3 in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.838 * [taylor]: Taking taylor expansion of 3 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of 1 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.841 * [taylor]: Taking taylor expansion of 3 in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.849 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.849 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.849 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [taylor]: Taking taylor expansion of 1 in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.855 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.855 * [taylor]: Taking taylor expansion of x in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of 1 in y 0.858 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.865 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of 1 in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.876 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.876 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.876 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of 2 in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.877 * [taylor]: Taking taylor expansion of 2 in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.877 * [taylor]: Taking taylor expansion of 2 in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of 2 in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 1 in y 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.886 * [taylor]: Taking taylor expansion of 2 in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of 2 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.888 * [taylor]: Taking taylor expansion of 2 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of 1 in y 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.890 * [taylor]: Taking taylor expansion of 2 in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.899 * [taylor]: Taking taylor expansion of 2 in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of 2 in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of 2 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of 1 in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.910 * [taylor]: Taking taylor expansion of 2 in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.918 * * * [progress]: simplifying candidates 0.919 * [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))) 0.923 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.929 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.949 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 1.046 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 1.048 * [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))) (+ (* (- (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))) 1.049 * * * [progress]: adding candidates to table 1.118 * * [progress]: iteration 4 / 4 1.119 * * * [progress]: picking best candidate 1.126 * * * * [pick]: Picked # 1.126 * * * [progress]: localizing error 1.135 * * * [progress]: generating rewritten candidates 1.135 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.141 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.153 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.166 * * * [progress]: generating series expansions 1.166 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.167 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.167 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.167 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.167 * [taylor]: Taking taylor expansion of 3 in y 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.168 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.168 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.168 * [taylor]: Taking taylor expansion of 3 in y 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.169 * [taylor]: Taking taylor expansion of y in y 1.188 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.188 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.188 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.188 * [taylor]: Taking taylor expansion of 3 in y 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.189 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.189 * [taylor]: Taking taylor expansion of 3 in y 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.203 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.203 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.203 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.203 * [taylor]: Taking taylor expansion of 3 in y 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.205 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.205 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.205 * [taylor]: Taking taylor expansion of 3 in y 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.218 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.219 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.219 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.219 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.219 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.219 * [taylor]: Taking taylor expansion of 3 in y 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.220 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.220 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.220 * [taylor]: Taking taylor expansion of 3 in y 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.247 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.247 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.247 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.247 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.247 * [taylor]: Taking taylor expansion of 3 in y 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.248 * [taylor]: Taking taylor expansion of y in y 1.251 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.251 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.251 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.251 * [taylor]: Taking taylor expansion of 3 in y 1.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.252 * [taylor]: Taking taylor expansion of y in y 1.283 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.283 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.283 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.283 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.283 * [taylor]: Taking taylor expansion of 3 in y 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.287 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.287 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.287 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.287 * [taylor]: Taking taylor expansion of 3 in y 1.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.310 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.312 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.312 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.312 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.312 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.312 * [taylor]: Taking taylor expansion of 3 in x 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.312 * [taylor]: Taking taylor expansion of y in x 1.312 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.312 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.312 * [taylor]: Taking taylor expansion of x in y 1.312 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.312 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.312 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.313 * [taylor]: Taking taylor expansion of 3 in y 1.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.313 * [taylor]: Taking taylor expansion of y in y 1.313 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.313 * [taylor]: Taking taylor expansion of x in y 1.313 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.313 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.313 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.313 * [taylor]: Taking taylor expansion of 3 in y 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of 0 in x 1.318 * [taylor]: Taking taylor expansion of 3 in x 1.321 * [taylor]: Taking taylor expansion of 0 in x 1.326 * [taylor]: Taking taylor expansion of 0 in x 1.327 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.327 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.327 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.327 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.327 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.327 * [taylor]: Taking taylor expansion of 3 in x 1.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.328 * [taylor]: Taking taylor expansion of y in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.331 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.331 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.331 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.331 * [taylor]: Taking taylor expansion of 3 in y 1.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.332 * [taylor]: Taking taylor expansion of y in y 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.335 * [taylor]: Taking taylor expansion of x in y 1.336 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.336 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.336 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.336 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.336 * [taylor]: Taking taylor expansion of 3 in y 1.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.336 * [taylor]: Taking taylor expansion of y in y 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.340 * [taylor]: Taking taylor expansion of x in y 1.340 * [taylor]: Taking taylor expansion of 3 in x 1.342 * [taylor]: Taking taylor expansion of 0 in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of 0 in x 1.542 * [taylor]: Taking taylor expansion of 0 in x 1.545 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.545 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.545 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.545 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.545 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.545 * [taylor]: Taking taylor expansion of 3 in x 1.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.545 * [taylor]: Taking taylor expansion of y in x 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.549 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.549 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.549 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.549 * [taylor]: Taking taylor expansion of 3 in y 1.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.553 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.553 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.553 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.553 * [taylor]: Taking taylor expansion of 3 in y 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of 3 in x 1.560 * [taylor]: Taking taylor expansion of 0 in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of 0 in x 1.572 * [taylor]: Taking taylor expansion of 0 in x 1.573 * * * [progress]: simplifying candidates 1.574 * [simplify]: Simplifying using # : (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (+ (log (cbrt 3)) (+ (log y) (log y))) (+ (log (cbrt 3)) (log (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (cbrt 3) (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (cbrt 3) (* y y)))) (log (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* 3 3) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* 3 3) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* 3 3) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) (* (cbrt 3) (* (cbrt 3) (* y y))) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* 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))) 1.579 * * [simplify]: iteration 0 : 263 enodes (cost 558 ) 1.585 * * [simplify]: iteration 1 : 1076 enodes (cost 425 ) 1.612 * * [simplify]: iteration 2 : 5001 enodes (cost 366 ) 1.614 * [simplify]: Simplified to: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (pow y 6) 3) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (pow (exp (* (pow (cbrt 3) 3) y)) y) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) 3 (* (cbrt 3) (* (cbrt 3) (* y y))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (pow (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (+ (* (pow y 4) (pow (* (cbrt 3) (cbrt 3)) 3)) (* (- 3) (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (- (pow x 3)) x) (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (* y y) (* y y)))) (+ (* (* (pow (cbrt 3) 3) y) y) (- (pow x 2))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.614 * * * [progress]: adding candidates to table 1.699 * [progress]: [Phase 3 of 3] Extracting. 1.699 * * [regime]: Finding splitpoints for: (# # # # #) 1.700 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.700 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.718 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.734 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # #) 1.752 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.769 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.788 * * * [regime]: Found split indices: #