18.068 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.024 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.025 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.026 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.029 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.031 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.033 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.035 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.038 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.041 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.047 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.074 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.296 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.298 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.303 * * [progress]: iteration 1 / 4 0.303 * * * [progress]: picking best candidate 0.304 * * * * [pick]: Picked # 0.304 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.325 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.342 * * * [progress]: generating series expansions 0.342 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.342 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.342 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of 3 in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of 3 in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.350 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.350 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of 3 in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of 3 in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.357 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.357 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of 3 in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of 3 in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.367 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.367 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of 3 in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of 3 in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of 3 in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of 0 in x 0.369 * [taylor]: Taking taylor expansion of 3 in x 0.371 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.373 * [taylor]: Taking taylor expansion of 3 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of 3 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of 3 in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of 3 in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of 0 in x 0.383 * [taylor]: Taking taylor expansion of 0 in x 0.385 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.385 * [taylor]: Taking taylor expansion of 3 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of 3 in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of 3 in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of 3 in x 0.388 * [taylor]: Taking taylor expansion of 0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 0 in x 0.395 * [taylor]: Taking taylor expansion of 0 in x 0.396 * * * [progress]: simplifying candidates 0.397 * [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))) 0.400 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.404 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.416 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.472 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.473 * [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))) 0.473 * * * [progress]: adding candidates to table 0.527 * * [progress]: iteration 2 / 4 0.527 * * * [progress]: picking best candidate 0.533 * * * * [pick]: Picked # 0.534 * * * [progress]: localizing error 0.539 * * * [progress]: generating rewritten candidates 0.539 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.559 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.576 * * * [progress]: generating series expansions 0.576 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.576 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.576 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of 3 in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of 3 in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.584 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.584 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.584 * [taylor]: Taking taylor expansion of 3 in y 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.584 * [taylor]: Taking taylor expansion of 3 in y 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.591 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.591 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.591 * [taylor]: Taking taylor expansion of 3 in y 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of 3 in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.598 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.599 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 0.599 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.599 * [taylor]: Taking taylor expansion of 3 in x 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of 3 in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of 3 in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of 0 in x 0.600 * [taylor]: Taking taylor expansion of 3 in x 0.602 * [taylor]: Taking taylor expansion of 0 in x 0.604 * [taylor]: Taking taylor expansion of 0 in x 0.604 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.605 * [taylor]: Taking taylor expansion of 3 in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.605 * [taylor]: Taking taylor expansion of x in y 0.605 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.605 * [taylor]: Taking taylor expansion of 3 in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of 3 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of 3 in x 0.608 * [taylor]: Taking taylor expansion of 0 in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of 0 in x 0.615 * [taylor]: Taking taylor expansion of 0 in x 0.616 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.617 * [taylor]: Taking taylor expansion of 3 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.617 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.617 * [taylor]: Taking taylor expansion of 3 in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.618 * [taylor]: Taking taylor expansion of 3 in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of 3 in x 0.620 * [taylor]: Taking taylor expansion of 0 in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of 0 in x 0.627 * [taylor]: Taking taylor expansion of 0 in x 0.628 * * * [progress]: simplifying candidates 0.632 * [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))) 0.636 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.640 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.661 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.752 * * [simplify]: iteration 3 : 5001 enodes (cost 139 ) 0.753 * [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))) (* (* 3 y) (sqrt y)) (* 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))) 0.754 * * * [progress]: adding candidates to table 0.803 * * [progress]: iteration 3 / 4 0.804 * * * [progress]: picking best candidate 0.808 * * * * [pick]: Picked # 0.808 * * * [progress]: localizing error 0.816 * * * [progress]: generating rewritten candidates 0.816 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.834 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.898 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.960 * * * [progress]: generating series expansions 0.960 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.961 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.961 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.961 * [taylor]: Taking taylor expansion of 3 in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.962 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.962 * [taylor]: Taking taylor expansion of 3 in y 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.974 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.974 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.974 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.974 * [taylor]: Taking taylor expansion of 3 in y 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.976 * [taylor]: Taking taylor expansion of 3 in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.991 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.991 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.991 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.991 * [taylor]: Taking taylor expansion of 3 in y 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.992 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.992 * [taylor]: Taking taylor expansion of 3 in y 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.993 * [taylor]: Taking taylor expansion of y in y 1.005 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.006 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.006 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.006 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.006 * [taylor]: Taking taylor expansion of 3 in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.006 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.006 * [taylor]: Taking taylor expansion of 3 in y 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.030 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.030 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.030 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.030 * [taylor]: Taking taylor expansion of 3 in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.033 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.033 * [taylor]: Taking taylor expansion of 3 in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.056 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.056 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.056 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.056 * [taylor]: Taking taylor expansion of 3 in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.065 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.065 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.065 * [taylor]: Taking taylor expansion of 3 in y 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.086 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.087 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.087 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.087 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.087 * [taylor]: Taking taylor expansion of 3 in x 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.088 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.088 * [taylor]: Taking taylor expansion of 3 in y 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.088 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.088 * [taylor]: Taking taylor expansion of 3 in y 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.089 * [taylor]: Taking taylor expansion of y in y 1.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of 0 in x 1.093 * [taylor]: Taking taylor expansion of 3 in x 1.095 * [taylor]: Taking taylor expansion of 0 in x 1.099 * [taylor]: Taking taylor expansion of 0 in x 1.101 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.101 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.101 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.101 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.101 * [taylor]: Taking taylor expansion of 3 in x 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.104 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.105 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.105 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.105 * [taylor]: Taking taylor expansion of 3 in y 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.105 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.108 * [taylor]: Taking taylor expansion of x in y 1.108 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.108 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.108 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.108 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.108 * [taylor]: Taking taylor expansion of 3 in y 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.112 * [taylor]: Taking taylor expansion of 3 in x 1.114 * [taylor]: Taking taylor expansion of 0 in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of 0 in x 1.125 * [taylor]: Taking taylor expansion of 0 in x 1.127 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.127 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.127 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.127 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.127 * [taylor]: Taking taylor expansion of 3 in x 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.131 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.131 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.131 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.131 * [taylor]: Taking taylor expansion of 3 in y 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.134 * [taylor]: Taking taylor expansion of x in y 1.134 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.134 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.134 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.134 * [taylor]: Taking taylor expansion of 3 in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.137 * [taylor]: Taking taylor expansion of x in y 1.138 * [taylor]: Taking taylor expansion of 3 in x 1.140 * [taylor]: Taking taylor expansion of 0 in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of 0 in x 1.156 * [taylor]: Taking taylor expansion of 0 in x 1.158 * * * [progress]: simplifying candidates 1.158 * [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))) 1.163 * * [simplify]: iteration 0 : 263 enodes (cost 558 ) 1.168 * * [simplify]: iteration 1 : 1076 enodes (cost 425 ) 1.193 * * [simplify]: iteration 2 : 5001 enodes (cost 366 ) 1.195 * [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))) 1.195 * * * [progress]: adding candidates to table 1.298 * * [progress]: iteration 4 / 4 1.298 * * * [progress]: picking best candidate 1.301 * * * * [pick]: Picked # 1.301 * * * [progress]: localizing error 1.312 * * * [progress]: generating rewritten candidates 1.312 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 1.335 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.394 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.711 * * * [progress]: generating series expansions 1.711 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 1.712 * [approximate]: Taking taylor expansion of (* (sqrt (cbrt 3)) (pow y 2)) in (y) around 0 1.712 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt 3)) (pow y 2)) in y 1.712 * [taylor]: Taking taylor expansion of (sqrt (cbrt 3)) in y 1.712 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.712 * [taylor]: Taking taylor expansion of 3 in y 1.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.713 * [taylor]: Taking taylor expansion of y in y 1.713 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt 3)) (pow y 2)) in y 1.713 * [taylor]: Taking taylor expansion of (sqrt (cbrt 3)) in y 1.713 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.713 * [taylor]: Taking taylor expansion of 3 in y 1.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.715 * [taylor]: Taking taylor expansion of y in y 1.732 * [approximate]: Taking taylor expansion of (* (sqrt (cbrt 3)) (/ 1 (pow y 2))) in (y) around 0 1.732 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt 3)) (/ 1 (pow y 2))) in y 1.732 * [taylor]: Taking taylor expansion of (sqrt (cbrt 3)) in y 1.732 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.732 * [taylor]: Taking taylor expansion of 3 in y 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.734 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt 3)) (/ 1 (pow y 2))) in y 1.734 * [taylor]: Taking taylor expansion of (sqrt (cbrt 3)) in y 1.734 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.734 * [taylor]: Taking taylor expansion of 3 in y 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.736 * [taylor]: Taking taylor expansion of y in y 1.755 * [approximate]: Taking taylor expansion of (* (sqrt (cbrt 3)) (/ 1 (pow y 2))) in (y) around 0 1.755 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt 3)) (/ 1 (pow y 2))) in y 1.755 * [taylor]: Taking taylor expansion of (sqrt (cbrt 3)) in y 1.755 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.755 * [taylor]: Taking taylor expansion of 3 in y 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.761 * [taylor]: Taking taylor expansion of y in y 1.762 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt 3)) (/ 1 (pow y 2))) in y 1.762 * [taylor]: Taking taylor expansion of (sqrt (cbrt 3)) in y 1.762 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.762 * [taylor]: Taking taylor expansion of 3 in y 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.783 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.784 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.784 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.784 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.784 * [taylor]: Taking taylor expansion of 3 in y 1.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.784 * [taylor]: Taking taylor expansion of y in y 1.784 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.784 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.784 * [taylor]: Taking taylor expansion of 3 in y 1.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.785 * [taylor]: Taking taylor expansion of y in y 1.798 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.798 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.798 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.798 * [taylor]: Taking taylor expansion of 3 in y 1.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.798 * [taylor]: Taking taylor expansion of y in y 1.799 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.799 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.799 * [taylor]: Taking taylor expansion of 3 in y 1.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.800 * [taylor]: Taking taylor expansion of y in y 1.812 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.812 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.812 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.812 * [taylor]: Taking taylor expansion of 3 in y 1.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.812 * [taylor]: Taking taylor expansion of y in y 1.813 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.813 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.813 * [taylor]: Taking taylor expansion of 3 in y 1.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.814 * [taylor]: Taking taylor expansion of y in y 1.825 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.827 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.827 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.827 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.827 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.827 * [taylor]: Taking taylor expansion of 3 in y 1.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.827 * [taylor]: Taking taylor expansion of y in y 1.827 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.827 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.827 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.828 * [taylor]: Taking taylor expansion of 3 in y 1.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.828 * [taylor]: Taking taylor expansion of y in y 1.858 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.858 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.858 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.858 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.858 * [taylor]: Taking taylor expansion of 3 in y 1.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.859 * [taylor]: Taking taylor expansion of y in y 1.861 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.861 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.861 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.861 * [taylor]: Taking taylor expansion of 3 in y 1.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.884 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.885 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.885 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.885 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.885 * [taylor]: Taking taylor expansion of 3 in y 1.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.885 * [taylor]: Taking taylor expansion of y in y 1.888 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.888 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.888 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.888 * [taylor]: Taking taylor expansion of 3 in y 1.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.889 * [taylor]: Taking taylor expansion of y in y 1.909 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.911 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.911 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.911 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.911 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.911 * [taylor]: Taking taylor expansion of 3 in x 1.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.912 * [taylor]: Taking taylor expansion of x in y 1.912 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.912 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.912 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.912 * [taylor]: Taking taylor expansion of 3 in y 1.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.913 * [taylor]: Taking taylor expansion of y in y 1.913 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.913 * [taylor]: Taking taylor expansion of x in y 1.913 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.913 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.913 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.913 * [taylor]: Taking taylor expansion of 3 in y 1.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.913 * [taylor]: Taking taylor expansion of y in y 1.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of 0 in x 1.917 * [taylor]: Taking taylor expansion of 3 in x 1.925 * [taylor]: Taking taylor expansion of 0 in x 1.930 * [taylor]: Taking taylor expansion of 0 in x 1.932 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.932 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.932 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.932 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.932 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.932 * [taylor]: Taking taylor expansion of 3 in x 1.933 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.933 * [taylor]: Taking taylor expansion of y in x 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.936 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.936 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.936 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.936 * [taylor]: Taking taylor expansion of 3 in y 1.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.936 * [taylor]: Taking taylor expansion of y in y 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.939 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.939 * [taylor]: Taking taylor expansion of x in y 1.939 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.939 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.939 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.939 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.939 * [taylor]: Taking taylor expansion of 3 in y 1.940 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.940 * [taylor]: Taking taylor expansion of y in y 1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.943 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.943 * [taylor]: Taking taylor expansion of x in y 1.943 * [taylor]: Taking taylor expansion of 3 in x 1.945 * [taylor]: Taking taylor expansion of 0 in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of 0 in x 1.957 * [taylor]: Taking taylor expansion of 0 in x 1.960 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.960 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.960 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.960 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.960 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.960 * [taylor]: Taking taylor expansion of 3 in x 1.960 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.960 * [taylor]: Taking taylor expansion of y in x 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.963 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.963 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.963 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.963 * [taylor]: Taking taylor expansion of 3 in y 1.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.964 * [taylor]: Taking taylor expansion of y in y 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.967 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.967 * [taylor]: Taking taylor expansion of x in y 1.967 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.967 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.967 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.967 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.967 * [taylor]: Taking taylor expansion of 3 in y 1.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.967 * [taylor]: Taking taylor expansion of y in y 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.970 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.970 * [taylor]: Taking taylor expansion of x in y 1.971 * [taylor]: Taking taylor expansion of 3 in x 1.972 * [taylor]: Taking taylor expansion of 0 in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of 0 in x 1.984 * [taylor]: Taking taylor expansion of 0 in x 1.985 * * * [progress]: simplifying candidates 1.987 * [simplify]: Simplifying using # : (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (+ (log (sqrt (cbrt 3))) (+ (log y) (log y))) (+ (log (sqrt (cbrt 3))) (log (* y y))) (log (* (sqrt (cbrt 3)) (* y y))) (exp (* (sqrt (cbrt 3)) (* y y))) (* (* (* (sqrt (cbrt 3)) (sqrt (cbrt 3))) (sqrt (cbrt 3))) (* (* (* y y) y) (* (* y y) y))) (* (* (* (sqrt (cbrt 3)) (sqrt (cbrt 3))) (sqrt (cbrt 3))) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (sqrt (cbrt 3)) (* y y))) (cbrt (* (sqrt (cbrt 3)) (* y y)))) (cbrt (* (sqrt (cbrt 3)) (* y y))) (* (* (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt 3)) (* y y))) (sqrt (* (sqrt (cbrt 3)) (* y y))) (sqrt (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt (sqrt 3))) y) (* (sqrt (cbrt (sqrt 3))) y) (* (sqrt (sqrt (cbrt 3))) y) (* (sqrt (sqrt (cbrt 3))) y) (* (sqrt (sqrt (cbrt 3))) y) (* (sqrt (sqrt (cbrt 3))) y) (* (sqrt (cbrt 3)) y) (* (cbrt (sqrt (cbrt 3))) (* y y)) (* (sqrt (cbrt (cbrt 3))) (* y y)) (* (sqrt (cbrt (sqrt 3))) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt (cbrt 3))) (* y y)) (* (sqrt (sqrt (cbrt 3))) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (sqrt (cbrt 3))) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))) (+ (log (sqrt (cbrt 3))) (+ (log (sqrt (cbrt 3))) (+ (log y) (log y)))) (+ (log (sqrt (cbrt 3))) (+ (log (sqrt (cbrt 3))) (log (* y y)))) (+ (log (sqrt (cbrt 3))) (log (* (sqrt (cbrt 3)) (* y y)))) (log (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (exp (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* (* (* (sqrt (cbrt 3)) (sqrt (cbrt 3))) (sqrt (cbrt 3))) (* (* (* (sqrt (cbrt 3)) (sqrt (cbrt 3))) (sqrt (cbrt 3))) (* (* (* y y) y) (* (* y y) y)))) (* (* (* (sqrt (cbrt 3)) (sqrt (cbrt 3))) (sqrt (cbrt 3))) (* (* (* (sqrt (cbrt 3)) (sqrt (cbrt 3))) (sqrt (cbrt 3))) (* (* (* y y) (* y y)) (* y y)))) (* (* (* (sqrt (cbrt 3)) (sqrt (cbrt 3))) (sqrt (cbrt 3))) (* (* (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt 3)) (* y y)))) (* (cbrt (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (cbrt (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))) (cbrt (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* (* (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (sqrt (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (sqrt (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* (sqrt (cbrt 3)) (sqrt (cbrt 3))) (* (cbrt (sqrt (cbrt 3))) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt (cbrt 3))) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt (sqrt 3))) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt (cbrt 3))) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (sqrt (cbrt 3))) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (sqrt 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3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x)) (* (sqrt (cbrt 3)) (pow y 2)) (* (sqrt (cbrt 3)) (pow y 2)) (* (sqrt (cbrt 3)) (pow y 2)) (* (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))) 1.993 * * [simplify]: iteration 0 : 364 enodes (cost 1052 ) 2.000 * * [simplify]: iteration 1 : 1567 enodes (cost 767 ) 2.035 * * [simplify]: iteration 2 : 5001 enodes (cost 648 ) 2.038 * [simplify]: Simplified to: (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (log (* (sqrt (cbrt 3)) (* y y))) (log (* (sqrt (cbrt 3)) (* y y))) (log (* (sqrt (cbrt 3)) (* y y))) (exp (* (sqrt (cbrt 3)) (* y y))) (pow (* (sqrt (cbrt 3)) (* y y)) 3) (pow (* (sqrt (cbrt 3)) (* y y)) 3) (* (cbrt (* (sqrt (cbrt 3)) (* y y))) (cbrt (* (sqrt (cbrt 3)) (* y y)))) (cbrt (* (sqrt (cbrt 3)) (* y y))) (pow (* (sqrt (cbrt 3)) (* y y)) 3) (sqrt (* (sqrt (cbrt 3)) (* y y))) (sqrt (* (sqrt (cbrt 3)) (* y y))) (* (sqrt (cbrt (sqrt 3))) y) (* (sqrt (cbrt (sqrt 3))) y) (* (sqrt (sqrt (cbrt 3))) y) (* (sqrt (sqrt (cbrt 3))) y) (* (sqrt (sqrt (cbrt 3))) y) (* (sqrt (sqrt (cbrt 3))) y) (* (sqrt (cbrt 3)) y) (* (cbrt (sqrt (cbrt 3))) (* y y)) (* (sqrt (cbrt (cbrt 3))) (* y y)) (* (sqrt (cbrt (sqrt 3))) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt (cbrt 3))) (* y y)) (* (sqrt (sqrt (cbrt 3))) (* y y)) (* (sqrt 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(cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))) (* (pow (sqrt (cbrt 3)) 3) (cbrt 3)) (* (* (cbrt 3) (pow y 2)) (cbrt 3)) (exp (+ (* (* (cbrt 3) (pow y 2)) (* (cbrt 3) (cbrt 3))) (pow x 2))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))) (exp (+ (* (* (cbrt 3) (pow y 2)) (* (cbrt 3) (cbrt 3))) (pow x 2))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))) (pow (+ (* (* (cbrt 3) (pow y 2)) (* (cbrt 3) (cbrt 3))) (pow x 2)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) 3) (pow (* x x) 3)) (+ (pow x 4) (- (* (pow (* (cbrt 3) (cbrt 3)) 3) (pow y 4)) (* (* (* (pow (cbrt 3) 3) (pow y 2)) x) x))) (+ (* (- (pow x 3)) x) (* (pow (cbrt 3) 3) (* (cbrt 3) (* (* (cbrt 3) (cbrt 3)) (pow y 4))))) (+ (* (pow (cbrt 3) 3) (pow y 2)) (- (pow x 2))) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (* 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))) 2.038 * * * [progress]: adding candidates to table 2.226 * [progress]: [Phase 3 of 3] Extracting. 2.227 * * [regime]: Finding splitpoints for: (# # # # #) 2.227 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.227 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.242 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 2.260 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.275 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.294 * * * [regime]: Found split indices: #