24.106 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.028 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.029 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.030 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.031 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.032 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.034 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.035 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.037 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.040 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.042 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.048 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.075 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.296 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.298 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.302 * * [progress]: iteration 1 / 4 0.302 * * * [progress]: picking best candidate 0.304 * * * * [pick]: Picked # 0.304 * * * [progress]: localizing error 0.310 * * * [progress]: generating rewritten candidates 0.310 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.315 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.320 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.320 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.320 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of 3 in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.329 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.329 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of 3 in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of 3 in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.341 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.341 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of 3 in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of 3 in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.349 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.349 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of 3 in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of 3 in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of 3 in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [taylor]: Taking taylor expansion of 3 in x 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.355 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 3 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of 3 in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (+ (/ 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 3 in x 0.360 * [taylor]: Taking taylor expansion of 0 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 0 in x 0.367 * [taylor]: Taking taylor expansion of 0 in x 0.369 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of 3 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.369 * [taylor]: Taking taylor expansion of 3 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 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 0.370 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of 3 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 3 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.380 * [taylor]: Taking taylor expansion of 0 in x 0.382 * * * [progress]: simplifying candidates 0.382 * [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))) 0.385 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.388 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.400 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.452 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.454 * [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))) 0.454 * * * [progress]: adding candidates to table 0.536 * * [progress]: iteration 2 / 4 0.536 * * * [progress]: picking best candidate 0.552 * * * * [pick]: Picked # 0.552 * * * [progress]: localizing error 0.558 * * * [progress]: generating rewritten candidates 0.558 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.562 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.567 * * * [progress]: generating series expansions 0.567 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.567 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.567 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of 3 in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of 3 in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.576 * [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 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.592 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.592 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.592 * [taylor]: Taking taylor expansion of 3 in x 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.592 * [taylor]: Taking taylor expansion of x 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 0.592 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.592 * [taylor]: Taking taylor expansion of x 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 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of 0 in x 0.593 * [taylor]: Taking taylor expansion of 3 in x 0.595 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.598 * [taylor]: Taking taylor expansion of 3 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of 3 in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2))) in y 0.600 * [taylor]: Taking taylor expansion of 3 in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.601 * [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 (/ 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 0.606 * [taylor]: Taking taylor expansion of 0 in x 0.610 * [taylor]: Taking taylor expansion of 0 in x 0.611 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.612 * [taylor]: Taking taylor expansion of 3 in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.612 * [taylor]: Taking taylor expansion of 3 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.613 * [taylor]: Taking taylor expansion of 3 in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of 3 in x 0.615 * [taylor]: Taking taylor expansion of 0 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of 0 in x 0.623 * [taylor]: Taking taylor expansion of 0 in x 0.624 * * * [progress]: simplifying candidates 0.624 * [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))) 0.628 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.632 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.651 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.742 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.744 * [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))) 0.744 * * * [progress]: adding candidates to table 0.817 * * [progress]: iteration 3 / 4 0.817 * * * [progress]: picking best candidate 0.829 * * * * [pick]: Picked # 0.829 * * * [progress]: localizing error 0.838 * * * [progress]: generating rewritten candidates 0.838 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.844 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.856 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.869 * * * [progress]: generating series expansions 0.869 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.869 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.869 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.869 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.869 * [taylor]: Taking taylor expansion of 3 in y 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.870 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.870 * [taylor]: Taking taylor expansion of 3 in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.884 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.884 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.884 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.884 * [taylor]: Taking taylor expansion of 3 in y 0.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.885 * [taylor]: Taking taylor expansion of 3 in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.898 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.898 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.898 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.898 * [taylor]: Taking taylor expansion of 3 in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.900 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.900 * [taylor]: Taking taylor expansion of 3 in y 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.917 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.919 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.919 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.919 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.919 * [taylor]: Taking taylor expansion of 3 in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.919 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.919 * [taylor]: Taking taylor expansion of 3 in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.947 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 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 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.951 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.951 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.951 * [taylor]: Taking taylor expansion of 3 in y 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.976 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.976 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) 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 0.980 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.980 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.980 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.980 * [taylor]: Taking taylor expansion of 3 in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 1.008 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.010 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.010 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.010 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.010 * [taylor]: Taking taylor expansion of 3 in x 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.010 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.010 * [taylor]: Taking taylor expansion of x in y 1.010 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.010 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.010 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.010 * [taylor]: Taking taylor expansion of 3 in y 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.011 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.011 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.011 * [taylor]: Taking taylor expansion of x in y 1.011 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.011 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.011 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.011 * [taylor]: Taking taylor expansion of 3 in y 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of 0 in x 1.016 * [taylor]: Taking taylor expansion of 3 in x 1.019 * [taylor]: Taking taylor expansion of 0 in x 1.024 * [taylor]: Taking taylor expansion of 0 in x 1.025 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.025 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.025 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.025 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.025 * [taylor]: Taking taylor expansion of 3 in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.029 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.029 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.029 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.029 * [taylor]: Taking taylor expansion of 3 in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) 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 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.037 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of 3 in x 1.040 * [taylor]: Taking taylor expansion of 0 in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of 0 in x 1.051 * [taylor]: Taking taylor expansion of 0 in x 1.054 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.054 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.054 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.054 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.054 * [taylor]: Taking taylor expansion of 3 in x 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.058 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.058 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.058 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.058 * [taylor]: Taking taylor expansion of 3 in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.062 * [taylor]: Taking taylor expansion of x in y 1.062 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.062 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.062 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.062 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.062 * [taylor]: Taking taylor expansion of 3 in y 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.066 * [taylor]: Taking taylor expansion of x in y 1.066 * [taylor]: Taking taylor expansion of 3 in x 1.069 * [taylor]: Taking taylor expansion of 0 in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of 0 in x 1.086 * [taylor]: Taking taylor expansion of 0 in x 1.087 * * * [progress]: simplifying candidates 1.088 * [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))) 1.093 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 1.098 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 1.123 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 1.125 * [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))) 1.126 * * * [progress]: adding candidates to table 1.458 * * [progress]: iteration 4 / 4 1.458 * * * [progress]: picking best candidate 1.468 * * * * [pick]: Picked # 1.468 * * * [progress]: localizing error 1.477 * * * [progress]: generating rewritten candidates 1.477 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.493 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.498 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.511 * * * [progress]: generating series expansions 1.511 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.511 * [approximate]: Taking taylor expansion of (* (cbrt 3) y) in (y) around 0 1.511 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 1.511 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.511 * [taylor]: Taking taylor expansion of 3 in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 1.512 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.512 * [taylor]: Taking taylor expansion of 3 in y 1.513 * [taylor]: Taking taylor expansion of y in y 1.525 * [approximate]: Taking taylor expansion of (/ (cbrt 3) y) in (y) around 0 1.525 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.525 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.525 * [taylor]: Taking taylor expansion of 3 in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.526 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.526 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.526 * [taylor]: Taking taylor expansion of 3 in y 1.527 * [taylor]: Taking taylor expansion of y in y 1.540 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in (y) around 0 1.540 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 1.540 * [taylor]: Taking taylor expansion of -1 in y 1.540 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.540 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.540 * [taylor]: Taking taylor expansion of 3 in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 1.541 * [taylor]: Taking taylor expansion of -1 in y 1.541 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.541 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.541 * [taylor]: Taking taylor expansion of 3 in y 1.542 * [taylor]: Taking taylor expansion of y in y 1.556 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.557 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.557 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.557 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.557 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.557 * [taylor]: Taking taylor expansion of 3 in y 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.558 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.558 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.558 * [taylor]: Taking taylor expansion of 3 in y 1.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.559 * [taylor]: Taking taylor expansion of y in y 1.585 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.585 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.585 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.585 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.585 * [taylor]: Taking taylor expansion of 3 in y 1.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.589 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.589 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.589 * [taylor]: Taking taylor expansion of 3 in y 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.613 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.613 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.613 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.613 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.613 * [taylor]: Taking taylor expansion of 3 in y 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.621 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.621 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.621 * [taylor]: Taking taylor expansion of 3 in y 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.622 * [taylor]: Taking taylor expansion of y in y 1.645 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.645 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.645 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.645 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.645 * [taylor]: Taking taylor expansion of 3 in y 1.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.646 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.646 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.646 * [taylor]: Taking taylor expansion of 3 in y 1.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.647 * [taylor]: Taking taylor expansion of y in y 1.659 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.659 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.659 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.660 * [taylor]: Taking taylor expansion of 3 in y 1.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.660 * [taylor]: Taking taylor expansion of y in y 1.661 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.661 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.661 * [taylor]: Taking taylor expansion of 3 in y 1.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.662 * [taylor]: Taking taylor expansion of y in y 1.674 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.674 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.674 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.674 * [taylor]: Taking taylor expansion of 3 in y 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.676 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.676 * [taylor]: Taking taylor expansion of 3 in y 1.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.688 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.690 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.690 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.690 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.690 * [taylor]: Taking taylor expansion of 3 in x 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.690 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.691 * [taylor]: Taking taylor expansion of x in y 1.691 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.691 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.691 * [taylor]: Taking taylor expansion of 3 in y 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.691 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.691 * [taylor]: Taking taylor expansion of x in y 1.691 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.691 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.691 * [taylor]: Taking taylor expansion of 3 in y 1.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.692 * [taylor]: Taking taylor expansion of y in y 1.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of 0 in x 1.697 * [taylor]: Taking taylor expansion of 3 in x 1.702 * [taylor]: Taking taylor expansion of 0 in x 1.707 * [taylor]: Taking taylor expansion of 0 in x 1.708 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.708 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.708 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.708 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.708 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.708 * [taylor]: Taking taylor expansion of 3 in x 1.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.709 * [taylor]: Taking taylor expansion of y in x 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.712 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.712 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.712 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 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 1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.716 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.716 * [taylor]: Taking taylor expansion of x in y 1.716 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.716 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.716 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.716 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.716 * [taylor]: Taking taylor expansion of 3 in y 1.717 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.717 * [taylor]: Taking taylor expansion of y in y 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.720 * [taylor]: Taking taylor expansion of x in y 1.721 * [taylor]: Taking taylor expansion of 3 in x 1.723 * [taylor]: Taking taylor expansion of 0 in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of 0 in x 1.736 * [taylor]: Taking taylor expansion of 0 in x 1.739 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.739 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.739 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.739 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.739 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.739 * [taylor]: Taking taylor expansion of 3 in x 1.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.740 * [taylor]: Taking taylor expansion of y in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.743 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.743 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.743 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.743 * [taylor]: Taking taylor expansion of 3 in y 1.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.744 * [taylor]: Taking taylor expansion of y in y 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.747 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.747 * [taylor]: Taking taylor expansion of x in y 1.747 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.747 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.747 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.747 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.747 * [taylor]: Taking taylor expansion of 3 in y 1.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.748 * [taylor]: Taking taylor expansion of y in y 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.751 * [taylor]: Taking taylor expansion of x in y 1.752 * [taylor]: Taking taylor expansion of 3 in x 1.754 * [taylor]: Taking taylor expansion of 0 in x 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of 0 in x 1.766 * [taylor]: Taking taylor expansion of 0 in x 1.768 * * * [progress]: simplifying candidates 1.769 * [simplify]: Simplifying using # : (* (cbrt 3) y) (+ (log (cbrt 3)) (log y)) (log (* (cbrt 3) y)) (exp (* (cbrt 3) y)) (* 3 (* (* y y) y)) (* (cbrt (* (cbrt 3) y)) (cbrt (* (cbrt 3) y))) (cbrt (* (cbrt 3) y)) (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (cbrt 3) (* (cbrt y) (cbrt y))) (* (cbrt 3) (sqrt y)) (* (cbrt 3) 1) (* (cbrt (cbrt 3)) y) (* (cbrt (sqrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) 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) y)) (log 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) y)) (log 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) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) 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))) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) 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) y)) (* (cbrt 3) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (+ (+ (log (cbrt 3)) (log y)) (log y)) (+ (log (* (cbrt 3) y)) (log y)) (log (* (* (cbrt 3) y) y)) (exp (* (* (cbrt 3) y) y)) (* (* 3 (* (* y y) y)) (* (* y y) y)) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) 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 3) y) (* (cbrt y) (cbrt y))) (* (* (cbrt 3) y) (sqrt y)) (* (* (cbrt 3) y) 1) (* 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) y) (* (cbrt 3) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 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))) 1.774 * * [simplify]: iteration 0 : 304 enodes (cost 633 ) 1.780 * * [simplify]: iteration 1 : 1584 enodes (cost 536 ) 1.818 * * [simplify]: iteration 2 : 5002 enodes (cost 433 ) 1.822 * [simplify]: Simplified to: (* (cbrt 3) y) (log (* (cbrt 3) y)) (log (* (cbrt 3) y)) (exp (* (cbrt 3) y)) (* (pow y 3) 3) (* (cbrt (* (cbrt 3) y)) (cbrt (* (cbrt 3) y))) (cbrt (* (cbrt 3) y)) (* (pow y 3) 3) (sqrt (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (cbrt 3) (* (cbrt y) (cbrt y))) (* (cbrt 3) (sqrt y)) (cbrt 3) (* (cbrt (cbrt 3)) y) (* (cbrt (sqrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (pow (exp (pow (cbrt 3) 3)) (pow y 2)) (* 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 y) (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (* (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 3) y) (* (cbrt y) (cbrt y))) (* (* (cbrt 3) y) (sqrt y)) (* (cbrt 3) y) (pow y 2) (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 x 4) (- (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (pow y 2) (pow y 2))) (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (+ (* (neg (pow x 3)) x) (* (cbrt 3) (* (pow (cbrt 3) 3) (* (* (* (cbrt 3) y) (cbrt 3)) (pow y 3))))) (- (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (* (cbrt 3) y) (* (cbrt 3) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.822 * * * [progress]: adding candidates to table 2.019 * [progress]: [Phase 3 of 3] Extracting. 2.019 * * [regime]: Finding splitpoints for: (# # # # # #) 2.019 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.019 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.066 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.110 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.158 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.207 * * * [regime]: Found split indices: #