28.212 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.026 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.029 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.032 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.034 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.036 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.038 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.040 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.043 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.049 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.077 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.303 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.304 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.306 * * [progress]: iteration 1 / 4 0.306 * * * [progress]: picking best candidate 0.307 * * * * [pick]: Picked # 0.307 * * * [progress]: localizing error 0.315 * * * [progress]: generating rewritten candidates 0.315 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.320 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.326 * * * [progress]: generating series expansions 0.326 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.326 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.326 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of 3 in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of 3 in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.334 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.334 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of 3 in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of 3 in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 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 0.343 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of 3 in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.350 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.350 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.350 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of 3 in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.350 * [taylor]: Taking taylor expansion of x 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 0.350 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.350 * [taylor]: Taking taylor expansion of x 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 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of 3 in x 0.354 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of 3 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of 3 in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.358 * [taylor]: Taking taylor expansion of 3 in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 3 in x 0.361 * [taylor]: Taking taylor expansion of 0 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 0.365 * [taylor]: Taking taylor expansion of 0 in x 0.368 * [taylor]: Taking taylor expansion of 0 in x 0.370 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.370 * [taylor]: Taking taylor expansion of 3 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.371 * [taylor]: Taking taylor expansion of 3 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.371 * [taylor]: Taking taylor expansion of 3 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 3 in x 0.374 * [taylor]: Taking taylor expansion of 0 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 0.376 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.382 * * * [progress]: simplifying candidates 0.383 * [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))) 0.387 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.391 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.404 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.460 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.461 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (exp (+ (* 3 (* y y)) (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (+ (* 9 (pow y 4)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 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))) 0.461 * * * [progress]: adding candidates to table 0.512 * * [progress]: iteration 2 / 4 0.512 * * * [progress]: picking best candidate 0.516 * * * * [pick]: Picked # 0.516 * * * [progress]: localizing error 0.522 * * * [progress]: generating rewritten candidates 0.522 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.529 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.534 * * * [progress]: generating series expansions 0.534 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.534 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.534 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of 3 in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of 3 in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.543 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.543 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of 3 in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of 3 in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.550 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.551 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.551 * [taylor]: Taking taylor expansion of 3 in y 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.551 * [taylor]: Taking taylor expansion of 3 in y 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.559 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.559 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.559 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.559 * [taylor]: Taking taylor expansion of 3 in x 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of 3 in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of 3 in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of 0 in x 0.561 * [taylor]: Taking taylor expansion of 3 in x 0.563 * [taylor]: Taking taylor expansion of 0 in x 0.565 * [taylor]: Taking taylor expansion of 0 in x 0.565 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.566 * [taylor]: Taking taylor expansion of 3 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.566 * [taylor]: Taking taylor expansion of 3 in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.567 * [taylor]: Taking taylor expansion of 3 in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of 3 in x 0.569 * [taylor]: Taking taylor expansion of 0 in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of 0 in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.578 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.579 * [taylor]: Taking taylor expansion of 3 in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.579 * [taylor]: Taking taylor expansion of 3 in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of 3 in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of 3 in x 0.582 * [taylor]: Taking taylor expansion of 0 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of 0 in x 0.590 * [taylor]: Taking taylor expansion of 0 in x 0.591 * * * [progress]: simplifying candidates 0.592 * [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))) 0.596 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.601 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.624 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.723 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.724 * [simplify]: Simplified to: (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) 3) (* 3 y) (pow y 2) (exp (+ (* (* 3 y) y) (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (- (* (* 3 y) y) (* x x))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 2)) (pow y 2))) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.725 * * * [progress]: adding candidates to table 0.767 * * [progress]: iteration 3 / 4 0.767 * * * [progress]: picking best candidate 0.770 * * * * [pick]: Picked # 0.770 * * * [progress]: localizing error 0.779 * * * [progress]: generating rewritten candidates 0.779 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.785 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.797 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.814 * * * [progress]: generating series expansions 0.814 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.814 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.814 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.815 * [taylor]: Taking taylor expansion of 3 in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.815 * [taylor]: Taking taylor expansion of 3 in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.829 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.829 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.829 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.829 * [taylor]: Taking taylor expansion of 3 in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.831 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.831 * [taylor]: Taking taylor expansion of 3 in y 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.844 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.844 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.844 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.844 * [taylor]: Taking taylor expansion of 3 in y 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.845 * [taylor]: Taking taylor expansion of 3 in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.858 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.859 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.859 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.859 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.859 * [taylor]: Taking taylor expansion of 3 in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.860 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.860 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.860 * [taylor]: Taking taylor expansion of 3 in y 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.886 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.886 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.886 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.886 * [taylor]: Taking taylor expansion of 3 in y 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.893 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.893 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.893 * [taylor]: Taking taylor expansion of 3 in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.917 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.917 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.917 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.917 * [taylor]: Taking taylor expansion of 3 in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.921 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.921 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.921 * [taylor]: Taking taylor expansion of 3 in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.944 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.946 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 0.946 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.946 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.946 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.946 * [taylor]: Taking taylor expansion of 3 in x 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.946 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.947 * [taylor]: Taking taylor expansion of 3 in y 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.947 * [taylor]: Taking taylor expansion of x in y 0.947 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.947 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.947 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.947 * [taylor]: Taking taylor expansion of 3 in y 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of 0 in x 0.952 * [taylor]: Taking taylor expansion of 3 in x 0.955 * [taylor]: Taking taylor expansion of 0 in x 0.959 * [taylor]: Taking taylor expansion of 0 in x 0.961 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.961 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.961 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.961 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.961 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.961 * [taylor]: Taking taylor expansion of 3 in x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.965 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.965 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.965 * [taylor]: Taking taylor expansion of 3 in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.969 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.969 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.969 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.969 * [taylor]: Taking taylor expansion of 3 in y 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.976 * [taylor]: Taking taylor expansion of x in y 0.977 * [taylor]: Taking taylor expansion of 3 in x 0.979 * [taylor]: Taking taylor expansion of 0 in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of 0 in x 0.991 * [taylor]: Taking taylor expansion of 0 in x 0.994 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.994 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.994 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.994 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.994 * [taylor]: Taking taylor expansion of 3 in x 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.998 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.998 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.998 * [taylor]: Taking taylor expansion of 3 in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.002 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.002 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.002 * [taylor]: Taking taylor expansion of 3 in y 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.005 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.005 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of 3 in x 1.008 * [taylor]: Taking taylor expansion of 0 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of 0 in x 1.020 * [taylor]: Taking taylor expansion of 0 in x 1.022 * * * [progress]: simplifying candidates 1.023 * [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))) 1.028 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 1.033 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 1.060 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 1.063 * [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)) (+ (* (neg (pow x 3)) x) (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (* y y) (* y y)))) (+ (* (* (pow (cbrt 3) 3) y) y) (neg (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))) 1.063 * * * [progress]: adding candidates to table 1.148 * * [progress]: iteration 4 / 4 1.149 * * * [progress]: picking best candidate 1.153 * * * * [pick]: Picked # 1.153 * * * [progress]: localizing error 1.160 * * * [progress]: generating rewritten candidates 1.160 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.170 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.174 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.179 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.190 * * * [progress]: generating series expansions 1.190 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.191 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.191 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.191 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.191 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.191 * [taylor]: Taking taylor expansion of 3 in y 1.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.192 * [taylor]: Taking taylor expansion of y in y 1.192 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.192 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.192 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.192 * [taylor]: Taking taylor expansion of 3 in y 1.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.193 * [taylor]: Taking taylor expansion of y in y 1.213 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.213 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.213 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.213 * [taylor]: Taking taylor expansion of 3 in y 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.216 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.216 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.216 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.216 * [taylor]: Taking taylor expansion of 3 in y 1.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.216 * [taylor]: Taking taylor expansion of y in y 1.235 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.235 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.235 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.235 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.235 * [taylor]: Taking taylor expansion of 3 in y 1.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.236 * [taylor]: Taking taylor expansion of y in y 1.238 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.238 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.238 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.238 * [taylor]: Taking taylor expansion of 3 in y 1.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.260 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.261 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 1.261 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.261 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.261 * [taylor]: Taking taylor expansion of 3 in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.262 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.262 * [taylor]: Taking taylor expansion of 3 in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.274 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 1.274 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.274 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.274 * [taylor]: Taking taylor expansion of 3 in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.275 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.275 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.275 * [taylor]: Taking taylor expansion of 3 in y 1.276 * [taylor]: Taking taylor expansion of y in y 1.284 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in (y) around 0 1.284 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 1.284 * [taylor]: Taking taylor expansion of -1 in y 1.284 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.284 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.284 * [taylor]: Taking taylor expansion of 3 in y 1.285 * [taylor]: Taking taylor expansion of y in y 1.286 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 1.286 * [taylor]: Taking taylor expansion of -1 in y 1.286 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.286 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.286 * [taylor]: Taking taylor expansion of 3 in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.300 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.300 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 1.300 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.300 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.300 * [taylor]: Taking taylor expansion of 3 in y 1.301 * [taylor]: Taking taylor expansion of y in y 1.301 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.301 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.301 * [taylor]: Taking taylor expansion of 3 in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.312 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 1.312 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.312 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.312 * [taylor]: Taking taylor expansion of 3 in y 1.313 * [taylor]: Taking taylor expansion of y in y 1.314 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.314 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.314 * [taylor]: Taking taylor expansion of 3 in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.326 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in (y) around 0 1.326 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 1.326 * [taylor]: Taking taylor expansion of -1 in y 1.326 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.326 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.326 * [taylor]: Taking taylor expansion of 3 in y 1.327 * [taylor]: Taking taylor expansion of y in y 1.327 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 1.327 * [taylor]: Taking taylor expansion of -1 in y 1.327 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.327 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.327 * [taylor]: Taking taylor expansion of 3 in y 1.328 * [taylor]: Taking taylor expansion of y in y 1.341 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.342 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in x 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in x 1.342 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.342 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.342 * [taylor]: Taking taylor expansion of 3 in x 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.343 * [taylor]: Taking taylor expansion of y in x 1.343 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.343 * [taylor]: Taking taylor expansion of x in y 1.343 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.343 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.343 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.343 * [taylor]: Taking taylor expansion of 3 in y 1.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.344 * [taylor]: Taking taylor expansion of y in y 1.344 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.344 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.344 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.344 * [taylor]: Taking taylor expansion of 3 in y 1.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.345 * [taylor]: Taking taylor expansion of y in y 1.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of 0 in x 1.349 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.349 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.349 * [taylor]: Taking taylor expansion of 3 in x 1.353 * [taylor]: Taking taylor expansion of 0 in x 1.357 * [taylor]: Taking taylor expansion of 0 in x 1.359 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.360 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.360 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.360 * [taylor]: Taking taylor expansion of 3 in x 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.360 * [taylor]: Taking taylor expansion of y in x 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.362 * [taylor]: Taking taylor expansion of x in y 1.362 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.362 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.362 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.362 * [taylor]: Taking taylor expansion of 3 in y 1.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.363 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.365 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.365 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.365 * [taylor]: Taking taylor expansion of 3 in y 1.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.369 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.369 * [taylor]: Taking taylor expansion of 3 in x 1.371 * [taylor]: Taking taylor expansion of 0 in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of 0 in x 1.383 * [taylor]: Taking taylor expansion of 0 in x 1.387 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.388 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.388 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.388 * [taylor]: Taking taylor expansion of 3 in x 1.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.388 * [taylor]: Taking taylor expansion of y in x 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.390 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.390 * [taylor]: Taking taylor expansion of x in y 1.390 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.390 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.390 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.390 * [taylor]: Taking taylor expansion of 3 in y 1.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.391 * [taylor]: Taking taylor expansion of y in y 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.393 * [taylor]: Taking taylor expansion of x in y 1.393 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.393 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.393 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.393 * [taylor]: Taking taylor expansion of 3 in y 1.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.394 * [taylor]: Taking taylor expansion of y in y 1.397 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.397 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.397 * [taylor]: Taking taylor expansion of 3 in x 1.399 * [taylor]: Taking taylor expansion of 0 in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of 0 in x 1.415 * [taylor]: Taking taylor expansion of 0 in x 1.418 * * * [progress]: simplifying candidates 1.419 * [simplify]: Simplifying using # : (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y)) (+ 1 1) (+ 1 1) (+ (+ (log (sqrt 3)) (log y)) (+ (log (sqrt 3)) (log y))) (+ (+ (log (sqrt 3)) (log y)) (log (* (sqrt 3) y))) (+ (log (* (sqrt 3) y)) (+ (log (sqrt 3)) (log y))) (+ (log (* (sqrt 3) y)) (log (* (sqrt 3) y))) (log (* (* (sqrt 3) y) (* (sqrt 3) y))) (exp (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y))) (* (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y))) (* (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y))) (* (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y))) (* (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y)))) (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (* (sqrt 3) y) (* (sqrt 3) y))) (sqrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (sqrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (sqrt 3) (sqrt 3)) (* y y) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* (sqrt 3) y) (sqrt 3)) (* y (* (sqrt 3) y)) (* (sqrt 3) y) (+ (log (sqrt 3)) (log y)) (log (* (sqrt 3) y)) (exp (* (sqrt 3) y)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y)) (* (cbrt (* (sqrt 3) y)) (cbrt (* (sqrt 3) y))) (cbrt (* (sqrt 3) y)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt 3) (* (cbrt y) (cbrt y))) (* (sqrt 3) (sqrt y)) (* (sqrt 3) 1) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt 3) y) (+ (log (sqrt 3)) (log y)) (log (* (sqrt 3) y)) (exp (* (sqrt 3) y)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y)) (* (cbrt (* (sqrt 3) y)) (cbrt (* (sqrt 3) y))) (cbrt (* (sqrt 3) y)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt 3) (* (cbrt y) (cbrt y))) (* (sqrt 3) (sqrt y)) (* (sqrt 3) 1) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (exp (* (* (sqrt 3) y) (* (sqrt 3) y))) (exp (* x x))) (log (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (exp (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (* (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)))) (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (* (* (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)) (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (sqrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (sqrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (+ (pow (* (* (sqrt 3) y) (* (sqrt 3) y)) 3) (pow (* x x) 3)) (+ (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y))) (- (* (* x x) (* x x)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)))) (- (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (* x x) (* x x))) (- (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) 1.425 * * [simplify]: iteration 0 : 215 enodes (cost 450 ) 1.431 * * [simplify]: iteration 1 : 1084 enodes (cost 352 ) 1.460 * * [simplify]: iteration 2 : 5002 enodes (cost 351 ) 1.463 * [simplify]: Simplified to: 2 2 2 2 (* (pow y 2) 3) (* (pow y 2) 3) (* (pow y 2) 3) (* (pow y 2) 3) 2 2 (* 2 (log (* (sqrt 3) y))) (* 2 (log (* (sqrt 3) y))) (* 2 (log (* (sqrt 3) y))) (* 2 (log (* (sqrt 3) y))) (* 2 (log (* (sqrt 3) y))) (pow (exp 3) (pow y 2)) (pow (* (pow y 2) 3) 3) (pow (* (pow y 2) 3) 3) (pow (* (pow y 2) 3) 3) (pow (* (pow y 2) 3) 3) (* (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y)))) (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (pow (* (pow y 2) 3) 3) (fabs (* (sqrt 3) y)) (fabs (* (sqrt 3) y)) 3 (pow y 2) 2 2 2 2 (* 3 y) (* y (* (sqrt 3) y)) (* (sqrt 3) y) (log (* (sqrt 3) y)) (log (* (sqrt 3) y)) (exp (* (sqrt 3) y)) (pow (* (sqrt 3) y) 3) (* (cbrt (* (sqrt 3) y)) (cbrt (* (sqrt 3) y))) (cbrt (* (sqrt 3) y)) (pow (* (sqrt 3) y) 3) (sqrt (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt 3) (* (cbrt y) (cbrt y))) (* (sqrt 3) (sqrt y)) (sqrt 3) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt 3) y) (log (* (sqrt 3) y)) (log (* (sqrt 3) y)) (exp (* (sqrt 3) y)) (pow (* (sqrt 3) y) 3) (* (cbrt (* (sqrt 3) y)) (cbrt (* (sqrt 3) y))) (cbrt (* (sqrt 3) y)) (pow (* (sqrt 3) y) 3) (sqrt (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt 3) (* (cbrt y) (cbrt y))) (* (sqrt 3) (sqrt y)) (sqrt 3) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (exp (+ (* (pow y 2) 3) (pow x 2))) (log (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (exp (+ (* (pow y 2) 3) (pow x 2))) (* (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)))) (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (pow (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) 3) (sqrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (sqrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (+ (pow (* (* (sqrt 3) y) (* (sqrt 3) y)) 3) (pow (* x x) 3)) (+ (+ (pow (* (sqrt 3) y) 4) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* 9 (* (pow y 2) (pow y 2)))) (- (* (pow y 2) 3) (pow x 2)) (* (pow y 2) 3) (* (pow y 2) 3) (* (pow y 2) 3) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) 1.463 * * * [progress]: adding candidates to table 1.577 * [progress]: [Phase 3 of 3] Extracting. 1.577 * * [regime]: Finding splitpoints for: (# # # #) 1.577 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.577 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.590 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.603 * * * * [regimes]: Trying to branch on y from (# # # #) 1.619 * * * * [regimes]: Trying to branch on x from (# # # #) 1.634 * * * [regime]: Found split indices: #