29.783 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.126 * * * [progress]: [2/2] Setting up program. 0.128 * [progress]: [Phase 2 of 3] Improving. 0.128 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.131 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.132 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.133 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.134 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.136 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.137 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.139 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.141 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.144 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.146 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.152 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.181 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.404 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.406 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.410 * * [progress]: iteration 1 / 4 0.410 * * * [progress]: picking best candidate 0.412 * * * * [pick]: Picked # 0.412 * * * [progress]: localizing error 0.417 * * * [progress]: generating rewritten candidates 0.417 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.422 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.428 * * * [progress]: generating series expansions 0.428 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.428 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.428 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of 3 in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of 3 in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.429 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.429 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of 3 in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of 3 in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.430 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.430 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of 3 in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of 3 in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.431 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.431 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.431 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of 3 in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of 3 in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of 3 in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 0 in x 0.431 * [taylor]: Taking taylor expansion of 3 in x 0.431 * [taylor]: Taking taylor expansion of 0 in x 0.432 * [taylor]: Taking taylor expansion of 0 in x 0.432 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of 3 in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of 3 in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.433 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.433 * [taylor]: Taking taylor expansion of 3 in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 3 in x 0.433 * [taylor]: Taking taylor expansion of 0 in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 0 in x 0.434 * [taylor]: Taking taylor expansion of 0 in x 0.434 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.434 * [taylor]: Taking taylor expansion of 3 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of 3 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of 3 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 3 in x 0.435 * [taylor]: Taking taylor expansion of 0 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 0 in x 0.436 * [taylor]: Taking taylor expansion of 0 in x 0.436 * * * [progress]: simplifying candidates 0.437 * [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))) 0.440 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.443 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.455 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.508 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.510 * [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))) 0.510 * * * [progress]: adding candidates to table 0.548 * * [progress]: iteration 2 / 4 0.548 * * * [progress]: picking best candidate 0.555 * * * * [pick]: Picked # 0.555 * * * [progress]: localizing error 0.561 * * * [progress]: generating rewritten candidates 0.561 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.565 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.570 * * * [progress]: generating series expansions 0.570 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.570 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.570 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of 3 in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of 3 in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.571 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.571 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of 3 in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of 3 in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.572 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of 3 in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of 3 in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.573 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.573 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of 3 in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.573 * [taylor]: Taking taylor expansion of x in y 0.573 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.573 * [taylor]: Taking taylor expansion of 3 in y 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.573 * [taylor]: Taking taylor expansion of x in y 0.573 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.573 * [taylor]: Taking taylor expansion of 3 in y 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of 0 in x 0.574 * [taylor]: Taking taylor expansion of 3 in x 0.574 * [taylor]: Taking taylor expansion of 0 in x 0.574 * [taylor]: Taking taylor expansion of 0 in x 0.574 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.574 * [taylor]: Taking taylor expansion of 3 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.575 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.575 * [taylor]: Taking taylor expansion of 3 in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.575 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.575 * [taylor]: Taking taylor expansion of 3 in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 3 in x 0.575 * [taylor]: Taking taylor expansion of 0 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of 0 in x 0.576 * [taylor]: Taking taylor expansion of 0 in x 0.577 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.577 * [taylor]: Taking taylor expansion of 3 in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of 3 in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of 3 in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of 3 in x 0.577 * [taylor]: Taking taylor expansion of 0 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 0.578 * [taylor]: Taking taylor expansion of 0 in x 0.578 * [taylor]: Taking taylor expansion of 0 in x 0.579 * * * [progress]: simplifying candidates 0.579 * [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))) 0.582 * * [simplify]: iteration 0 : 173 enodes (cost 165 ) 0.586 * * [simplify]: iteration 1 : 854 enodes (cost 145 ) 0.605 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.698 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.699 * [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) (* (* 3 y) (* (pow y 3) 3))) (- (* (* 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))) 0.700 * * * [progress]: adding candidates to table 0.730 * * [progress]: iteration 3 / 4 0.730 * * * [progress]: picking best candidate 0.737 * * * * [pick]: Picked # 0.737 * * * [progress]: localizing error 0.744 * * * [progress]: generating rewritten candidates 0.744 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.748 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.753 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.761 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.771 * * * [progress]: generating series expansions 0.771 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.771 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 0.771 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.771 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.771 * [taylor]: Taking taylor expansion of 3 in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.771 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.771 * [taylor]: Taking taylor expansion of 3 in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.772 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.772 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.772 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.772 * [taylor]: Taking taylor expansion of 3 in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.772 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.772 * [taylor]: Taking taylor expansion of 3 in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.773 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in (y) around 0 0.773 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 0.773 * [taylor]: Taking taylor expansion of -1 in y 0.773 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.774 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.774 * [taylor]: Taking taylor expansion of 3 in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 0.774 * [taylor]: Taking taylor expansion of -1 in y 0.774 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.774 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.774 * [taylor]: Taking taylor expansion of 3 in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.775 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.775 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 0.775 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.775 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.775 * [taylor]: Taking taylor expansion of 3 in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.775 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.775 * [taylor]: Taking taylor expansion of 3 in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.776 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.776 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.776 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.776 * [taylor]: Taking taylor expansion of 3 in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.776 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.776 * [taylor]: Taking taylor expansion of 3 in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.777 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in (y) around 0 0.777 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 0.777 * [taylor]: Taking taylor expansion of -1 in y 0.777 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.777 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.777 * [taylor]: Taking taylor expansion of 3 in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 0.777 * [taylor]: Taking taylor expansion of -1 in y 0.777 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.777 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.777 * [taylor]: Taking taylor expansion of 3 in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.779 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.779 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.779 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.779 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.779 * [taylor]: Taking taylor expansion of 3 in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.779 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.779 * [taylor]: Taking taylor expansion of 3 in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.781 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.781 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.781 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.781 * [taylor]: Taking taylor expansion of 3 in y 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.781 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.781 * [taylor]: Taking taylor expansion of 3 in y 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.783 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.783 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.783 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.783 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.783 * [taylor]: Taking taylor expansion of 3 in y 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.783 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.783 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.783 * [taylor]: Taking taylor expansion of 3 in y 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.785 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.785 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 0.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in x 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in x 0.785 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 0.785 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.785 * [taylor]: Taking taylor expansion of 3 in x 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.786 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.786 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.786 * [taylor]: Taking taylor expansion of 3 in y 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.786 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.786 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.786 * [taylor]: Taking taylor expansion of 3 in y 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of 0 in x 0.786 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 0.786 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.786 * [taylor]: Taking taylor expansion of 3 in x 0.787 * [taylor]: Taking taylor expansion of 0 in x 0.787 * [taylor]: Taking taylor expansion of 0 in x 0.787 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 0.787 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.787 * [taylor]: Taking taylor expansion of 3 in x 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.788 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.788 * [taylor]: Taking taylor expansion of 3 in y 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.788 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.788 * [taylor]: Taking taylor expansion of 3 in y 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 0.789 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.789 * [taylor]: Taking taylor expansion of 3 in x 0.789 * [taylor]: Taking taylor expansion of 0 in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of 0 in x 0.792 * [taylor]: Taking taylor expansion of 0 in x 0.793 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 0.793 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.793 * [taylor]: Taking taylor expansion of 3 in x 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.793 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.794 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.794 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.794 * [taylor]: Taking taylor expansion of 3 in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.794 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.794 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.794 * [taylor]: Taking taylor expansion of 3 in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 0.794 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.794 * [taylor]: Taking taylor expansion of 3 in x 0.794 * [taylor]: Taking taylor expansion of 0 in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of 0 in x 0.796 * [taylor]: Taking taylor expansion of 0 in x 0.796 * * * [progress]: simplifying candidates 0.797 * [simplify]: Simplifying using # : (* (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) (+ 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)) (* (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)) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 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))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) 0.802 * * [simplify]: iteration 0 : 215 enodes (cost 450 ) 0.807 * * [simplify]: iteration 1 : 1084 enodes (cost 352 ) 0.834 * * [simplify]: iteration 2 : 5002 enodes (cost 351 ) 0.837 * [simplify]: Simplified to: (* (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) 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)) (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)) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (pow y 2) 3) (* (pow y 2) 3) (* (pow y 2) 3) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) 0.837 * * * [progress]: adding candidates to table 0.936 * * [progress]: iteration 4 / 4 0.936 * * * [progress]: picking best candidate 0.942 * * * * [pick]: Picked # 0.942 * * * [progress]: localizing error 0.953 * * * [progress]: generating rewritten candidates 0.953 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.955 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 0.956 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.957 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.964 * * * [progress]: generating series expansions 0.964 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.964 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.964 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.964 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.964 * [taylor]: Taking taylor expansion of 1/3 in y 0.964 * [taylor]: Taking taylor expansion of (log y) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.964 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.964 * [taylor]: Taking taylor expansion of 1/3 in y 0.964 * [taylor]: Taking taylor expansion of (log y) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.970 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.970 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.970 * [taylor]: Taking taylor expansion of 1/3 in y 0.970 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.970 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.971 * [taylor]: Taking taylor expansion of 1/3 in y 0.971 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.977 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.977 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.977 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.977 * [taylor]: Taking taylor expansion of -1 in y 0.977 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.977 * [taylor]: Taking taylor expansion of 1/3 in y 0.977 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.977 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.977 * [taylor]: Taking taylor expansion of -1 in y 0.977 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.977 * [taylor]: Taking taylor expansion of 1/3 in y 0.977 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.985 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 0.985 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.985 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.985 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.985 * [taylor]: Taking taylor expansion of 1/3 in y 0.985 * [taylor]: Taking taylor expansion of (log y) in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.985 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.985 * [taylor]: Taking taylor expansion of 1/3 in y 0.985 * [taylor]: Taking taylor expansion of (log y) in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.992 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.992 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.992 * [taylor]: Taking taylor expansion of 1/3 in y 0.992 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.992 * [taylor]: Taking taylor expansion of 1/3 in y 0.992 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.998 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.998 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.998 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.998 * [taylor]: Taking taylor expansion of -1 in y 0.998 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.998 * [taylor]: Taking taylor expansion of 1/3 in y 0.998 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.999 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.999 * [taylor]: Taking taylor expansion of -1 in y 0.999 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.999 * [taylor]: Taking taylor expansion of 1/3 in y 0.999 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.006 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.006 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.007 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.007 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.007 * [taylor]: Taking taylor expansion of 1/3 in y 1.007 * [taylor]: Taking taylor expansion of (log y) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.007 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.007 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.007 * [taylor]: Taking taylor expansion of 1/3 in y 1.007 * [taylor]: Taking taylor expansion of (log y) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.012 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.013 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.013 * [taylor]: Taking taylor expansion of 1/3 in y 1.013 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.013 * [taylor]: Taking taylor expansion of 1/3 in y 1.013 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.019 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.019 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.019 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.019 * [taylor]: Taking taylor expansion of -1 in y 1.019 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.019 * [taylor]: Taking taylor expansion of 1/3 in y 1.019 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.019 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.019 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.019 * [taylor]: Taking taylor expansion of -1 in y 1.020 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.020 * [taylor]: Taking taylor expansion of 1/3 in y 1.020 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.030 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.030 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.030 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of 1/3 in y 1.030 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of 1/3 in y 1.031 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.037 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.037 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.037 * [taylor]: Taking taylor expansion of 1/3 in y 1.037 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.037 * [taylor]: Taking taylor expansion of 1/3 in y 1.037 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.044 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.044 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.044 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.044 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.044 * [taylor]: Taking taylor expansion of -1 in y 1.044 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.044 * [taylor]: Taking taylor expansion of 1/3 in y 1.044 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.044 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.044 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.044 * [taylor]: Taking taylor expansion of -1 in y 1.045 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.045 * [taylor]: Taking taylor expansion of 1/3 in y 1.045 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.054 * * * [progress]: simplifying candidates 1.055 * [simplify]: Simplifying using # : (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (exp (* 1/3 (+ (log 1) (log y)))) (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 y)))))) (exp (* 1/3 (+ (log 1) (log y)))) (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 y)))))) (exp (* 1/3 (+ (log 1) (log y)))) (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 y)))))) (exp (* 1/3 (+ (log 1) (* 2 (log y))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) 1.059 * * [simplify]: iteration 0 : 148 enodes (cost 349 ) 1.063 * * [simplify]: iteration 1 : 471 enodes (cost 322 ) 1.075 * * [simplify]: iteration 2 : 2276 enodes (cost 265 ) 1.127 * * [simplify]: iteration 3 : 5002 enodes (cost 252 ) 1.129 * [simplify]: Simplified to: (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) 2/3 2 (* y y) (pow y 2/3) 2 (* 2 (log (cbrt y))) (* 2 (log (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* y y) (fabs (cbrt y)) (fabs (cbrt y)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt y) (cbrt y) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (cbrt y) (cbrt y) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (cbrt y) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (cbrt y) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (cbrt y) (cbrt y) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 y)))))) (cbrt y) (cbrt y) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 y)))))) (cbrt y) (cbrt y) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 y)))))) (pow y 2/3) (pow y 2/3) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) 1.130 * * * [progress]: adding candidates to table 1.197 * [progress]: [Phase 3 of 3] Extracting. 1.197 * * [regime]: Finding splitpoints for: (# # # # #) 1.198 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.198 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.236 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.274 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.312 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.353 * * * [regime]: Found split indices: #