10.384 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.030 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.031 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.032 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.034 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.035 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.036 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.038 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.040 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.042 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.045 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.051 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.081 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.308 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.309 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.314 * * [progress]: iteration 1 / 4 0.314 * * * [progress]: picking best candidate 0.316 * * * * [pick]: Picked # 0.317 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.327 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.333 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.333 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of 3 in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of 3 in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.334 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of 3 in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of 3 in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.335 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.335 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of 3 in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of 3 in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.336 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.336 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of 3 in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of 3 in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of 3 in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [taylor]: Taking taylor expansion of 3 in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.338 * [taylor]: Taking taylor expansion of 3 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.338 * [taylor]: Taking taylor expansion of 3 in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.338 * [taylor]: Taking taylor expansion of 3 in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 3 in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [taylor]: Taking taylor expansion of 0 in x 0.340 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.340 * [taylor]: Taking taylor expansion of 3 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of 3 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of 3 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 3 in x 0.340 * [taylor]: Taking taylor expansion of 0 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.342 * * * [progress]: simplifying candidates 0.342 * [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))) 0.345 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.349 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.362 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.418 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.420 * [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))) 0.420 * * * [progress]: adding candidates to table 0.488 * * [progress]: iteration 2 / 4 0.488 * * * [progress]: picking best candidate 0.503 * * * * [pick]: Picked # 0.503 * * * [progress]: localizing error 0.508 * * * [progress]: generating rewritten candidates 0.508 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.513 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.518 * * * [progress]: generating series expansions 0.518 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.518 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.518 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.518 * [taylor]: Taking taylor expansion of 3 in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of 3 in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.519 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of 3 in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of 3 in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.520 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.520 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of 3 in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of 3 in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.521 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.521 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of 3 in x 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of 3 in y 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.522 * [taylor]: Taking taylor expansion of 3 in y 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 0 in x 0.522 * [taylor]: Taking taylor expansion of 3 in x 0.522 * [taylor]: Taking taylor expansion of 0 in x 0.522 * [taylor]: Taking taylor expansion of 0 in x 0.522 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.523 * [taylor]: Taking taylor expansion of 3 in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.523 * [taylor]: Taking taylor expansion of 3 in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.523 * [taylor]: Taking taylor expansion of 3 in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of 3 in x 0.523 * [taylor]: Taking taylor expansion of 0 in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of 0 in x 0.524 * [taylor]: Taking taylor expansion of 0 in x 0.525 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.525 * [taylor]: Taking taylor expansion of 3 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.525 * [taylor]: Taking taylor expansion of 3 in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.525 * [taylor]: Taking taylor expansion of 3 in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of 3 in x 0.526 * [taylor]: Taking taylor expansion of 0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of 0 in x 0.526 * [taylor]: Taking taylor expansion of 0 in x 0.527 * * * [progress]: simplifying candidates 0.527 * [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))) 0.530 * * [simplify]: iteration 0 : 173 enodes (cost 165 ) 0.535 * * [simplify]: iteration 1 : 854 enodes (cost 145 ) 0.556 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.653 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.654 * [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))) 0.654 * * * [progress]: adding candidates to table 0.710 * * [progress]: iteration 3 / 4 0.710 * * * [progress]: picking best candidate 0.720 * * * * [pick]: Picked # 0.720 * * * [progress]: localizing error 0.729 * * * [progress]: generating rewritten candidates 0.729 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.735 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.747 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.763 * * * [progress]: generating series expansions 0.763 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.763 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.763 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.763 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.763 * [taylor]: Taking taylor expansion of 3 in y 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.763 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.763 * [taylor]: Taking taylor expansion of 3 in y 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.765 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.765 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.765 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.765 * [taylor]: Taking taylor expansion of 3 in y 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.765 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.765 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.765 * [taylor]: Taking taylor expansion of 3 in y 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.766 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.766 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.766 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.766 * [taylor]: Taking taylor expansion of 3 in y 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.766 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.766 * [taylor]: Taking taylor expansion of 3 in y 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.768 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.768 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.768 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.768 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.768 * [taylor]: Taking taylor expansion of 3 in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.768 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.768 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.768 * [taylor]: Taking taylor expansion of 3 in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.771 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.771 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.771 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.771 * [taylor]: Taking taylor expansion of 3 in y 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.771 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.771 * [taylor]: Taking taylor expansion of 3 in y 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.774 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.774 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.774 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.774 * [taylor]: Taking taylor expansion of 3 in y 0.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.775 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.775 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.775 * [taylor]: Taking taylor expansion of 3 in y 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.777 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.777 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 0.777 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.777 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.777 * [taylor]: Taking taylor expansion of 3 in x 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.778 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.778 * [taylor]: Taking taylor expansion of 3 in y 0.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.778 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.778 * [taylor]: Taking taylor expansion of 3 in y 0.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of 0 in x 0.778 * [taylor]: Taking taylor expansion of 3 in x 0.779 * [taylor]: Taking taylor expansion of 0 in x 0.779 * [taylor]: Taking taylor expansion of 0 in x 0.779 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.779 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.779 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.780 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.780 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.780 * [taylor]: Taking taylor expansion of 3 in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.780 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.780 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.780 * [taylor]: Taking taylor expansion of 3 in y 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.780 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.781 * [taylor]: Taking taylor expansion of (cbrt 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 (/ 1 (pow x 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of 3 in x 0.781 * [taylor]: Taking taylor expansion of 0 in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of 0 in x 0.783 * [taylor]: Taking taylor expansion of 0 in x 0.783 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.783 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.783 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.783 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.784 * [taylor]: Taking taylor expansion of 3 in x 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.784 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.784 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.784 * [taylor]: Taking taylor expansion of 3 in y 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.784 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.784 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.784 * [taylor]: Taking taylor expansion of 3 in y 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of 3 in x 0.785 * [taylor]: Taking taylor expansion of 0 in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 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 0.787 * [taylor]: Taking taylor expansion of 0 in x 0.787 * * * [progress]: simplifying candidates 0.788 * [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))) 0.792 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 0.798 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 0.825 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 0.827 * [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))) 0.828 * * * [progress]: adding candidates to table 0.967 * * [progress]: iteration 4 / 4 0.967 * * * [progress]: picking best candidate 0.978 * * * * [pick]: Picked # 0.978 * * * [progress]: localizing error 0.987 * * * [progress]: generating rewritten candidates 0.987 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.991 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.004 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.009 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.023 * * * [progress]: generating series expansions 1.023 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.023 * [approximate]: Taking taylor expansion of (* (cbrt 3) y) in (y) around 0 1.023 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 1.023 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.023 * [taylor]: Taking taylor expansion of 3 in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 1.023 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.023 * [taylor]: Taking taylor expansion of 3 in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.024 * [approximate]: Taking taylor expansion of (/ (cbrt 3) y) in (y) around 0 1.024 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.024 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.024 * [taylor]: Taking taylor expansion of 3 in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.024 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.024 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.024 * [taylor]: Taking taylor expansion of 3 in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.025 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in (y) around 0 1.025 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 1.025 * [taylor]: Taking taylor expansion of -1 in y 1.025 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.025 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.025 * [taylor]: Taking taylor expansion of 3 in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 1.025 * [taylor]: Taking taylor expansion of -1 in y 1.025 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.025 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.025 * [taylor]: Taking taylor expansion of 3 in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.027 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.027 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.027 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.027 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.027 * [taylor]: Taking taylor expansion of 3 in y 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.027 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.027 * [taylor]: Taking taylor expansion of 3 in y 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.030 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.030 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.030 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.030 * [taylor]: Taking taylor expansion of 3 in y 1.030 * [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 (cbrt 3) 3) (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.030 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.030 * [taylor]: Taking taylor expansion of 3 in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.033 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 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 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.033 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.033 * [taylor]: Taking taylor expansion of 3 in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.035 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.036 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.036 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.036 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.036 * [taylor]: Taking taylor expansion of 3 in y 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.036 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.036 * [taylor]: Taking taylor expansion of 3 in y 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.037 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.037 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.037 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.037 * [taylor]: Taking taylor expansion of 3 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 (/ (cbrt 3) (pow y 2)) in y 1.037 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.037 * [taylor]: Taking taylor expansion of 3 in y 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.038 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.038 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.038 * [taylor]: Taking taylor expansion of 3 in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.039 * [taylor]: Taking taylor expansion of 3 in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.040 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.040 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.040 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.040 * [taylor]: Taking taylor expansion of 3 in x 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.040 * [taylor]: Taking taylor expansion of x in y 1.040 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.040 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.040 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.040 * [taylor]: Taking taylor expansion of 3 in y 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.040 * [taylor]: Taking taylor expansion of x in y 1.040 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.040 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.040 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.040 * [taylor]: Taking taylor expansion of 3 in y 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of 0 in x 1.041 * [taylor]: Taking taylor expansion of 3 in x 1.041 * [taylor]: Taking taylor expansion of 0 in x 1.042 * [taylor]: Taking taylor expansion of 0 in x 1.042 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.042 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.042 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.042 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.042 * [taylor]: Taking taylor expansion of 3 in x 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [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 1.043 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.043 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.043 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.043 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.043 * [taylor]: Taking taylor expansion of 3 in y 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.043 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.043 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.043 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.043 * [taylor]: Taking taylor expansion of 3 in y 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.044 * [taylor]: Taking taylor expansion of 3 in x 1.044 * [taylor]: Taking taylor expansion of 0 in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of 0 in x 1.045 * [taylor]: Taking taylor expansion of 0 in x 1.046 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.046 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.046 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.046 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.046 * [taylor]: Taking taylor expansion of 3 in x 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.046 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.046 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.046 * [taylor]: Taking taylor expansion of 3 in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.047 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.047 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.047 * [taylor]: Taking taylor expansion of 3 in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of 3 in x 1.047 * [taylor]: Taking taylor expansion of 0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of 0 in x 1.049 * [taylor]: Taking taylor expansion of 0 in x 1.049 * * * [progress]: simplifying candidates 1.050 * [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))) 1.055 * * [simplify]: iteration 0 : 304 enodes (cost 633 ) 1.062 * * [simplify]: iteration 1 : 1584 enodes (cost 536 ) 1.098 * * [simplify]: iteration 2 : 5002 enodes (cost 433 ) 1.101 * [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))) 1.101 * * * [progress]: adding candidates to table 1.332 * [progress]: [Phase 3 of 3] Extracting. 1.332 * * [regime]: Finding splitpoints for: (# # # # # #) 1.333 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.333 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.382 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.427 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.478 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.528 * * * [regime]: Found split indices: #