14.044 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.031 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.032 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 0.034 * * [simplify]: iteration 2 : 23 enodes (cost 13 ) 0.038 * * [simplify]: iteration 3 : 36 enodes (cost 9 ) 0.043 * * [simplify]: iteration 4 : 45 enodes (cost 9 ) 0.047 * * [simplify]: iteration 5 : 46 enodes (cost 9 ) 0.052 * * [simplify]: iteration done : 46 enodes (cost 9 ) 0.052 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.081 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.081 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of 3 in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of 3 in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.082 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of 3 in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of 3 in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.083 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of 3 in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of 3 in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.084 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of 3 in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.084 * [taylor]: Taking taylor expansion of 3 in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.084 * [taylor]: Taking taylor expansion of 3 in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of 3 in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.086 * [taylor]: Taking taylor expansion of 3 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of 3 in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of 3 in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.087 * [taylor]: Taking taylor expansion of 3 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.088 * [taylor]: Taking taylor expansion of 3 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of 3 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of 3 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.089 * [taylor]: Taking taylor expansion of 3 in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * * * [progress]: simplifying candidates 0.091 * [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 (* x x)) (exp (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (* (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)) (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y))))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))) (- (* x x) (* 3 (* y y))) (* 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))) 0.093 * * [simplify]: iteration 0 : 57 enodes (cost 370 ) 0.102 * * [simplify]: iteration 1 : 164 enodes (cost 344 ) 0.138 * * [simplify]: iteration 2 : 550 enodes (cost 296 ) 0.250 * * [simplify]: iteration 3 : 1588 enodes (cost 288 ) 0.681 * * [simplify]: iteration 4 : 4205 enodes (cost 288 ) 1.412 * * [simplify]: iteration done : 5000 enodes (cost 288 ) 1.412 * [simplify]: Simplified to: (* 3 (pow y 2)) (* 3 (pow y 2)) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (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 (pow y 2)) (exp (+ (* x x) (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (pow (+ (* x x) (* 3 (* y y))) 3) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (pow x 4) (* (* 3 (pow y 2)) (- (* 3 (pow y 2)) (* x x)))) (- (pow x 4) (* 9 (pow y 4))) (- (* x x) (* 3 (* y y))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) 1.413 * * * [progress]: adding candidates to table 1.464 * * [progress]: iteration 2 / 4 1.465 * * * [progress]: picking best candidate 1.481 * * * * [pick]: Picked # 1.481 * * * [progress]: localizing error 1.487 * * * [progress]: generating rewritten candidates 1.487 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.492 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.497 * * * [progress]: generating series expansions 1.497 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.497 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 1.497 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.497 * [taylor]: Taking taylor expansion of 3 in y 1.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.497 * [taylor]: Taking taylor expansion of y in y 1.497 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.497 * [taylor]: Taking taylor expansion of 3 in y 1.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.497 * [taylor]: Taking taylor expansion of y in y 1.498 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.498 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.498 * [taylor]: Taking taylor expansion of 3 in y 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.498 * [taylor]: Taking taylor expansion of y in y 1.498 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.498 * [taylor]: Taking taylor expansion of 3 in y 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.498 * [taylor]: Taking taylor expansion of y in y 1.499 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.499 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.499 * [taylor]: Taking taylor expansion of 3 in y 1.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.499 * [taylor]: Taking taylor expansion of y in y 1.499 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.499 * [taylor]: Taking taylor expansion of 3 in y 1.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.499 * [taylor]: Taking taylor expansion of y in y 1.500 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.500 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.500 * [taylor]: Taking taylor expansion of x in y 1.500 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.500 * [taylor]: Taking taylor expansion of 3 in y 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.500 * [taylor]: Taking taylor expansion of 3 in x 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.500 * [taylor]: Taking taylor expansion of y in x 1.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.500 * [taylor]: Taking taylor expansion of 3 in x 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.501 * [taylor]: Taking taylor expansion of y in x 1.501 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.501 * [taylor]: Taking taylor expansion of 3 in y 1.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of 0 in y 1.501 * [taylor]: Taking taylor expansion of 1 in y 1.501 * [taylor]: Taking taylor expansion of 0 in y 1.502 * [taylor]: Taking taylor expansion of 0 in y 1.502 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.502 * [taylor]: Taking taylor expansion of 3 in y 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.502 * [taylor]: Taking taylor expansion of 3 in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.503 * [taylor]: Taking taylor expansion of 3 in x 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.503 * [taylor]: Taking taylor expansion of y in x 1.503 * [taylor]: Taking taylor expansion of 1 in y 1.506 * [taylor]: Taking taylor expansion of 0 in y 1.506 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.506 * [taylor]: Taking taylor expansion of 3 in y 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.506 * [taylor]: Taking taylor expansion of y in y 1.507 * [taylor]: Taking taylor expansion of 0 in y 1.507 * [taylor]: Taking taylor expansion of 0 in y 1.508 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.508 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.508 * [taylor]: Taking taylor expansion of x in y 1.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.508 * [taylor]: Taking taylor expansion of 3 in y 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.508 * [taylor]: Taking taylor expansion of y in y 1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.508 * [taylor]: Taking taylor expansion of 3 in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.508 * [taylor]: Taking taylor expansion of y in x 1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.508 * [taylor]: Taking taylor expansion of 3 in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.509 * [taylor]: Taking taylor expansion of y in x 1.509 * [taylor]: Taking taylor expansion of 1 in y 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.509 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.509 * [taylor]: Taking taylor expansion of 3 in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.510 * [taylor]: Taking taylor expansion of 0 in y 1.510 * * * [progress]: simplifying candidates 1.511 * [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 (* x x)) (exp (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (* (* (+ (* x x) (* (* 3 y) y)) (+ (* x x) (* (* 3 y) y))) (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow (* x x) 3) (pow (* (* 3 y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* (* 3 y) y)))) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* (* 3 y) y))) (- (* x x) (* (* 3 y) y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.512 * * [simplify]: iteration 0 : 59 enodes (cost 365 ) 1.522 * * [simplify]: iteration 1 : 176 enodes (cost 337 ) 1.568 * * [simplify]: iteration 2 : 720 enodes (cost 291 ) 1.745 * * [simplify]: iteration 3 : 2263 enodes (cost 281 ) 2.267 * * [simplify]: iteration done : 5000 enodes (cost 281 ) 2.267 * [simplify]: Simplified to: (* 3 (pow y 2)) (* 3 (pow y 2)) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (exp (* (* 3 y) y)) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (pow y 6) 27) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (pow y 2) (exp (+ (* x x) (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow x 6) (* (pow y 6) 27)) (+ (pow x 4) (* (* 3 (pow y 2)) (- (* 3 (pow y 2)) (* x x)))) (- (pow x 4) (* (pow y 4) 9)) (- (* x x) (* (* 3 y) y)) (* 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))) 2.267 * * * [progress]: adding candidates to table 2.308 * * [progress]: iteration 3 / 4 2.308 * * * [progress]: picking best candidate 2.322 * * * * [pick]: Picked # 2.323 * * * [progress]: localizing error 2.329 * * * [progress]: generating rewritten candidates 2.329 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.339 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.345 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 2.350 * * * [progress]: generating series expansions 2.350 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.350 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 2.350 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 2.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.351 * [taylor]: Taking taylor expansion of x in y 2.351 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.351 * [taylor]: Taking taylor expansion of 3 in y 2.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.351 * [taylor]: Taking taylor expansion of y in y 2.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.351 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.351 * [taylor]: Taking taylor expansion of 3 in x 2.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.351 * [taylor]: Taking taylor expansion of y in x 2.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.351 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.351 * [taylor]: Taking taylor expansion of 3 in x 2.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.351 * [taylor]: Taking taylor expansion of y in x 2.351 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.351 * [taylor]: Taking taylor expansion of 3 in y 2.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.351 * [taylor]: Taking taylor expansion of y in y 2.351 * [taylor]: Taking taylor expansion of 0 in y 2.351 * [taylor]: Taking taylor expansion of 1 in y 2.352 * [taylor]: Taking taylor expansion of 0 in y 2.352 * [taylor]: Taking taylor expansion of 0 in y 2.352 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.352 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.352 * [taylor]: Taking taylor expansion of x in y 2.353 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.353 * [taylor]: Taking taylor expansion of 3 in y 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.353 * [taylor]: Taking taylor expansion of y in y 2.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.353 * [taylor]: Taking taylor expansion of 3 in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.353 * [taylor]: Taking taylor expansion of y in x 2.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.353 * [taylor]: Taking taylor expansion of 3 in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.353 * [taylor]: Taking taylor expansion of y in x 2.353 * [taylor]: Taking taylor expansion of 1 in y 2.353 * [taylor]: Taking taylor expansion of 0 in y 2.354 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.354 * [taylor]: Taking taylor expansion of 3 in y 2.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.354 * [taylor]: Taking taylor expansion of y in y 2.354 * [taylor]: Taking taylor expansion of 0 in y 2.355 * [taylor]: Taking taylor expansion of 0 in y 2.355 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.355 * [taylor]: Taking taylor expansion of x in y 2.355 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.355 * [taylor]: Taking taylor expansion of 3 in y 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.355 * [taylor]: Taking taylor expansion of y in y 2.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.356 * [taylor]: Taking taylor expansion of 3 in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.356 * [taylor]: Taking taylor expansion of y in x 2.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.356 * [taylor]: Taking taylor expansion of 3 in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.356 * [taylor]: Taking taylor expansion of y in x 2.356 * [taylor]: Taking taylor expansion of 1 in y 2.356 * [taylor]: Taking taylor expansion of 0 in y 2.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.356 * [taylor]: Taking taylor expansion of 3 in y 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.356 * [taylor]: Taking taylor expansion of y in y 2.357 * [taylor]: Taking taylor expansion of 0 in y 2.358 * [taylor]: Taking taylor expansion of 0 in y 2.358 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.358 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 2.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.358 * [taylor]: Taking taylor expansion of x in y 2.358 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.358 * [taylor]: Taking taylor expansion of 2 in y 2.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.358 * [taylor]: Taking taylor expansion of y in y 2.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.358 * [taylor]: Taking taylor expansion of 2 in x 2.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.358 * [taylor]: Taking taylor expansion of y in x 2.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.358 * [taylor]: Taking taylor expansion of 2 in x 2.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.359 * [taylor]: Taking taylor expansion of y in x 2.359 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.359 * [taylor]: Taking taylor expansion of 2 in y 2.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.359 * [taylor]: Taking taylor expansion of y in y 2.359 * [taylor]: Taking taylor expansion of 0 in y 2.359 * [taylor]: Taking taylor expansion of 1 in y 2.359 * [taylor]: Taking taylor expansion of 0 in y 2.360 * [taylor]: Taking taylor expansion of 0 in y 2.360 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 2.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.360 * [taylor]: Taking taylor expansion of x in y 2.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.360 * [taylor]: Taking taylor expansion of 2 in y 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.360 * [taylor]: Taking taylor expansion of y in y 2.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.360 * [taylor]: Taking taylor expansion of 2 in x 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.360 * [taylor]: Taking taylor expansion of y in x 2.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.361 * [taylor]: Taking taylor expansion of 2 in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.361 * [taylor]: Taking taylor expansion of y in x 2.361 * [taylor]: Taking taylor expansion of 1 in y 2.361 * [taylor]: Taking taylor expansion of 0 in y 2.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.361 * [taylor]: Taking taylor expansion of 2 in y 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.361 * [taylor]: Taking taylor expansion of y in y 2.362 * [taylor]: Taking taylor expansion of 0 in y 2.362 * [taylor]: Taking taylor expansion of 0 in y 2.363 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 2.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.363 * [taylor]: Taking taylor expansion of x in y 2.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.363 * [taylor]: Taking taylor expansion of 2 in y 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.363 * [taylor]: Taking taylor expansion of y in y 2.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.363 * [taylor]: Taking taylor expansion of 2 in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.363 * [taylor]: Taking taylor expansion of y in x 2.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.363 * [taylor]: Taking taylor expansion of 2 in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.363 * [taylor]: Taking taylor expansion of y in x 2.363 * [taylor]: Taking taylor expansion of 1 in y 2.364 * [taylor]: Taking taylor expansion of 0 in y 2.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.364 * [taylor]: Taking taylor expansion of 2 in y 2.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.364 * [taylor]: Taking taylor expansion of y in y 2.364 * [taylor]: Taking taylor expansion of 0 in y 2.365 * [taylor]: Taking taylor expansion of 0 in y 2.365 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 2.365 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.365 * [taylor]: Taking taylor expansion of x in y 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.365 * [taylor]: Taking taylor expansion of y in y 2.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.365 * [taylor]: Taking taylor expansion of y in x 2.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.365 * [taylor]: Taking taylor expansion of y in x 2.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.366 * [taylor]: Taking taylor expansion of y in y 2.366 * [taylor]: Taking taylor expansion of 0 in y 2.366 * [taylor]: Taking taylor expansion of 1 in y 2.366 * [taylor]: Taking taylor expansion of 0 in y 2.366 * [taylor]: Taking taylor expansion of 0 in y 2.366 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.366 * [taylor]: Taking taylor expansion of x in y 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.367 * [taylor]: Taking taylor expansion of y in y 2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.367 * [taylor]: Taking taylor expansion of y in x 2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.367 * [taylor]: Taking taylor expansion of y in x 2.367 * [taylor]: Taking taylor expansion of 1 in y 2.367 * [taylor]: Taking taylor expansion of 0 in y 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.367 * [taylor]: Taking taylor expansion of y in y 2.368 * [taylor]: Taking taylor expansion of 0 in y 2.368 * [taylor]: Taking taylor expansion of 0 in y 2.369 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.369 * [taylor]: Taking taylor expansion of x in y 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.369 * [taylor]: Taking taylor expansion of y in y 2.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.369 * [taylor]: Taking taylor expansion of x in x 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.369 * [taylor]: Taking taylor expansion of y in x 2.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.369 * [taylor]: Taking taylor expansion of x in x 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.369 * [taylor]: Taking taylor expansion of y in x 2.369 * [taylor]: Taking taylor expansion of 1 in y 2.369 * [taylor]: Taking taylor expansion of 0 in y 2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.370 * [taylor]: Taking taylor expansion of y in y 2.370 * [taylor]: Taking taylor expansion of 0 in y 2.370 * [taylor]: Taking taylor expansion of 0 in y 2.371 * * * [progress]: simplifying candidates 2.371 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.374 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 2.390 * * [simplify]: iteration 1 : 218 enodes (cost 667 ) 2.437 * * [simplify]: iteration 2 : 818 enodes (cost 591 ) 2.632 * * [simplify]: iteration 3 : 2782 enodes (cost 513 ) 3.279 * * [simplify]: iteration done : 5000 enodes (cost 513 ) 3.280 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (pow (+ (* 3 (* y y)) (* x x)) 3) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (pow y 6) (pow (+ (pow x 2) (* 2 (pow y 2))) 3)) (+ (pow y 4) (* (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (* 3 (pow y 2))) (+ (* x x) (pow y 2))) (+ (* x x) (pow y 2)) (* 2 (pow y 2)) (exp (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (log (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (+ (pow (+ (* x x) (* y y)) 3) (pow y 6)) (+ (* x (* (+ (pow x 2) (pow y 2)) x)) (pow y 4)) (* (* x x) (+ (pow x 2) (* 2 (pow y 2)))) (pow x 2) (* 2 (pow y 2)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) 3.280 * * * [progress]: adding candidates to table 3.342 * * [progress]: iteration 4 / 4 3.342 * * * [progress]: picking best candidate 3.355 * * * * [pick]: Picked # 3.355 * * * [progress]: localizing error 3.363 * * * [progress]: generating rewritten candidates 3.363 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.371 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.383 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 3.396 * * * [progress]: generating series expansions 3.396 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.396 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 3.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 3.396 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 3.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.396 * [taylor]: Taking taylor expansion of x in y 3.396 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.396 * [taylor]: Taking taylor expansion of 3 in y 3.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.396 * [taylor]: Taking taylor expansion of y in y 3.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 3.396 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.396 * [taylor]: Taking taylor expansion of x in x 3.396 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.396 * [taylor]: Taking taylor expansion of 3 in x 3.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.396 * [taylor]: Taking taylor expansion of y in x 3.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 3.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.397 * [taylor]: Taking taylor expansion of 3 in x 3.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.397 * [taylor]: Taking taylor expansion of y in x 3.397 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 3.397 * [taylor]: Taking taylor expansion of (sqrt 3) in y 3.397 * [taylor]: Taking taylor expansion of 3 in y 3.397 * [taylor]: Taking taylor expansion of y in y 3.397 * [taylor]: Taking taylor expansion of 0 in y 3.398 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 3.398 * [taylor]: Taking taylor expansion of 1/2 in y 3.398 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 3.398 * [taylor]: Taking taylor expansion of (sqrt 3) in y 3.398 * [taylor]: Taking taylor expansion of 3 in y 3.398 * [taylor]: Taking taylor expansion of y in y 3.398 * [taylor]: Taking taylor expansion of 0 in y 3.399 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 3.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.399 * [taylor]: Taking taylor expansion of x in y 3.399 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.399 * [taylor]: Taking taylor expansion of 3 in y 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.399 * [taylor]: Taking taylor expansion of y in y 3.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.399 * [taylor]: Taking taylor expansion of x in x 3.399 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.399 * [taylor]: Taking taylor expansion of 3 in x 3.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.399 * [taylor]: Taking taylor expansion of y in x 3.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 3.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.400 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.400 * [taylor]: Taking taylor expansion of 3 in x 3.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.400 * [taylor]: Taking taylor expansion of y in x 3.400 * [taylor]: Taking taylor expansion of 1 in y 3.400 * [taylor]: Taking taylor expansion of 0 in y 3.400 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 3.400 * [taylor]: Taking taylor expansion of 3/2 in y 3.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.401 * [taylor]: Taking taylor expansion of y in y 3.401 * [taylor]: Taking taylor expansion of 0 in y 3.401 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 3.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 3.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.402 * [taylor]: Taking taylor expansion of x in y 3.402 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.402 * [taylor]: Taking taylor expansion of 3 in y 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.402 * [taylor]: Taking taylor expansion of y in y 3.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 3.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.402 * [taylor]: Taking taylor expansion of x in x 3.402 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.402 * [taylor]: Taking taylor expansion of 3 in x 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.402 * [taylor]: Taking taylor expansion of y in x 3.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 3.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.402 * [taylor]: Taking taylor expansion of x in x 3.402 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.402 * [taylor]: Taking taylor expansion of 3 in x 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.402 * [taylor]: Taking taylor expansion of y in x 3.403 * [taylor]: Taking taylor expansion of 1 in y 3.403 * [taylor]: Taking taylor expansion of 0 in y 3.403 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 3.403 * [taylor]: Taking taylor expansion of 3/2 in y 3.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.403 * [taylor]: Taking taylor expansion of y in y 3.404 * [taylor]: Taking taylor expansion of 0 in y 3.404 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.404 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 3.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 3.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 3.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.404 * [taylor]: Taking taylor expansion of x in y 3.404 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.404 * [taylor]: Taking taylor expansion of 3 in y 3.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.404 * [taylor]: Taking taylor expansion of y in y 3.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 3.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.404 * [taylor]: Taking taylor expansion of x in x 3.404 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.404 * [taylor]: Taking taylor expansion of 3 in x 3.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.405 * [taylor]: Taking taylor expansion of y in x 3.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 3.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.405 * [taylor]: Taking taylor expansion of 3 in x 3.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.405 * [taylor]: Taking taylor expansion of y in x 3.405 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 3.405 * [taylor]: Taking taylor expansion of (sqrt 3) in y 3.405 * [taylor]: Taking taylor expansion of 3 in y 3.406 * [taylor]: Taking taylor expansion of y in y 3.406 * [taylor]: Taking taylor expansion of 0 in y 3.406 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 3.406 * [taylor]: Taking taylor expansion of 1/2 in y 3.406 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 3.406 * [taylor]: Taking taylor expansion of (sqrt 3) in y 3.406 * [taylor]: Taking taylor expansion of 3 in y 3.406 * [taylor]: Taking taylor expansion of y in y 3.407 * [taylor]: Taking taylor expansion of 0 in y 3.407 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 3.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.407 * [taylor]: Taking taylor expansion of x in y 3.407 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.407 * [taylor]: Taking taylor expansion of 3 in y 3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.407 * [taylor]: Taking taylor expansion of y in y 3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 3.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.408 * [taylor]: Taking taylor expansion of x in x 3.408 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.408 * [taylor]: Taking taylor expansion of 3 in x 3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.408 * [taylor]: Taking taylor expansion of y in x 3.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 3.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.408 * [taylor]: Taking taylor expansion of x in x 3.408 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.408 * [taylor]: Taking taylor expansion of 3 in x 3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.408 * [taylor]: Taking taylor expansion of y in x 3.408 * [taylor]: Taking taylor expansion of 1 in y 3.408 * [taylor]: Taking taylor expansion of 0 in y 3.409 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 3.409 * [taylor]: Taking taylor expansion of 3/2 in y 3.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.409 * [taylor]: Taking taylor expansion of y in y 3.409 * [taylor]: Taking taylor expansion of 0 in y 3.410 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 3.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 3.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.410 * [taylor]: Taking taylor expansion of x in y 3.410 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.410 * [taylor]: Taking taylor expansion of 3 in y 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.410 * [taylor]: Taking taylor expansion of y in y 3.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 3.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.410 * [taylor]: Taking taylor expansion of x in x 3.410 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.410 * [taylor]: Taking taylor expansion of 3 in x 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.410 * [taylor]: Taking taylor expansion of y in x 3.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 3.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.410 * [taylor]: Taking taylor expansion of x in x 3.410 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.410 * [taylor]: Taking taylor expansion of 3 in x 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.411 * [taylor]: Taking taylor expansion of y in x 3.411 * [taylor]: Taking taylor expansion of 1 in y 3.411 * [taylor]: Taking taylor expansion of 0 in y 3.411 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 3.411 * [taylor]: Taking taylor expansion of 3/2 in y 3.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.411 * [taylor]: Taking taylor expansion of y in y 3.412 * [taylor]: Taking taylor expansion of 0 in y 3.412 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.412 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 3.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 3.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.412 * [taylor]: Taking taylor expansion of x in y 3.412 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.412 * [taylor]: Taking taylor expansion of 3 in y 3.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.412 * [taylor]: Taking taylor expansion of y in y 3.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.412 * [taylor]: Taking taylor expansion of 3 in x 3.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.412 * [taylor]: Taking taylor expansion of y in x 3.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.412 * [taylor]: Taking taylor expansion of 3 in x 3.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.413 * [taylor]: Taking taylor expansion of y in x 3.413 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.413 * [taylor]: Taking taylor expansion of 3 in y 3.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.413 * [taylor]: Taking taylor expansion of y in y 3.413 * [taylor]: Taking taylor expansion of 0 in y 3.413 * [taylor]: Taking taylor expansion of 1 in y 3.413 * [taylor]: Taking taylor expansion of 0 in y 3.414 * [taylor]: Taking taylor expansion of 0 in y 3.414 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 3.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.414 * [taylor]: Taking taylor expansion of x in y 3.414 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.414 * [taylor]: Taking taylor expansion of 3 in y 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.414 * [taylor]: Taking taylor expansion of y in y 3.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.414 * [taylor]: Taking taylor expansion of x in x 3.414 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.414 * [taylor]: Taking taylor expansion of 3 in x 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.414 * [taylor]: Taking taylor expansion of y in x 3.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.415 * [taylor]: Taking taylor expansion of x in x 3.415 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.415 * [taylor]: Taking taylor expansion of 3 in x 3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.415 * [taylor]: Taking taylor expansion of y in x 3.415 * [taylor]: Taking taylor expansion of 1 in y 3.415 * [taylor]: Taking taylor expansion of 0 in y 3.415 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.415 * [taylor]: Taking taylor expansion of 3 in y 3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.415 * [taylor]: Taking taylor expansion of y in y 3.416 * [taylor]: Taking taylor expansion of 0 in y 3.416 * [taylor]: Taking taylor expansion of 0 in y 3.417 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.417 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.417 * [taylor]: Taking taylor expansion of x in y 3.417 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.417 * [taylor]: Taking taylor expansion of 3 in y 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.417 * [taylor]: Taking taylor expansion of y in y 3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.417 * [taylor]: Taking taylor expansion of x in x 3.417 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.417 * [taylor]: Taking taylor expansion of 3 in x 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.417 * [taylor]: Taking taylor expansion of y in x 3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.417 * [taylor]: Taking taylor expansion of x in x 3.417 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.418 * [taylor]: Taking taylor expansion of 3 in x 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.418 * [taylor]: Taking taylor expansion of y in x 3.418 * [taylor]: Taking taylor expansion of 1 in y 3.418 * [taylor]: Taking taylor expansion of 0 in y 3.418 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.418 * [taylor]: Taking taylor expansion of 3 in y 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.418 * [taylor]: Taking taylor expansion of y in y 3.418 * [taylor]: Taking taylor expansion of 0 in y 3.419 * [taylor]: Taking taylor expansion of 0 in y 3.419 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 3.419 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 3.419 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.419 * [taylor]: Taking taylor expansion of 3 in y 3.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.420 * [taylor]: Taking taylor expansion of y in y 3.420 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.420 * [taylor]: Taking taylor expansion of 3 in y 3.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.420 * [taylor]: Taking taylor expansion of y in y 3.420 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 3.420 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.420 * [taylor]: Taking taylor expansion of 3 in y 3.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.420 * [taylor]: Taking taylor expansion of y in y 3.420 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.421 * [taylor]: Taking taylor expansion of 3 in y 3.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.421 * [taylor]: Taking taylor expansion of y in y 3.422 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 3.422 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.422 * [taylor]: Taking taylor expansion of 3 in y 3.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.422 * [taylor]: Taking taylor expansion of y in y 3.422 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.422 * [taylor]: Taking taylor expansion of 3 in y 3.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.422 * [taylor]: Taking taylor expansion of y in y 3.423 * * * [progress]: simplifying candidates 3.424 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* 3 (* y y))))) (exp (sqrt (+ (* x x) (* 3 (* y y))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y)))))) (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt 1) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y)))))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (- (* x x) (* 3 (* y y)))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (log (sqrt (+ (* x x) (* 3 (* y y))))) (exp (sqrt (+ (* x x) (* 3 (* y y))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y)))))) (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt 1) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y)))))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (- (* x x) (* 3 (* y y)))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* 3 (* y y))))) (log (sqrt (+ (* x x) (* 3 (* y y)))))) (log (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (exp (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (cbrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))))) (cbrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (* (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (sqrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (sqrt (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y)))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y))))))) (* (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y)))))) (sqrt (- (* x x) (* 3 (* y y))))) (* (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)))) (* (sqrt (- (* x x) (* 3 (* y y)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y))))))) (* (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))))) (* (sqrt (- (* x x) (* 3 (* y y)))) (sqrt (- (* x x) (* 3 (* y y))))) (* (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y)))))) (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))))) (* (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (cbrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* 1 1) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* 3 (* y y)))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y))))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt 1)) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (sqrt (+ (* x x) (* 3 (* y y)))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) 1) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)))) (* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3))) (sqrt (+ (* x x) (* 3 (* y y))))) (* (sqrt (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (* 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)) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 3.429 * * [simplify]: iteration 0 : 114 enodes (cost 2374 ) 3.447 * * [simplify]: iteration 1 : 245 enodes (cost 1659 ) 3.495 * * [simplify]: iteration 2 : 789 enodes (cost 1437 ) 3.669 * * [simplify]: iteration 3 : 2619 enodes (cost 1366 ) 4.151 * * [simplify]: iteration done : 5000 enodes (cost 1366 ) 4.152 * [simplify]: Simplified to: (log (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (exp (sqrt (+ (* x x) (* 3 (* y y))))) (* (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) (cbrt (sqrt (+ (* x x) (* 3 (* y y)))))) (cbrt (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (pow (sqrt (+ (pow x 2) (* 3 (pow y 2)))) 3) (fabs (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (sqrt (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) (sqrt (sqrt 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y))))) (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 1 1 2 1 1 (pow (sqrt (+ (pow x 2) (* 3 (pow y 2)))) 4) (+ (pow x 2) (* 3 (pow y 2))) (pow (sqrt (+ (pow x 2) (* 3 (pow y 2)))) 4) 2 (log (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (pow (sqrt (+ (pow x 2) (* 3 (pow y 2)))) 4) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (* (pow y 6) 27) (pow x 6)) (+ (pow x 4) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x)))) (* (sqrt (- (pow x 4) (* (pow y 4) 9))) (sqrt (+ (* (pow y 6) 27) (pow x 6)))) (* (sqrt (- (* x x) (* 3 (* y y)))) (sqrt (+ (pow x 4) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x)))))) (* (sqrt (- (pow x 4) (* (pow y 4) 9))) (sqrt (+ (* (pow y 6) 27) (pow x 6)))) (* (sqrt (- (* x x) (* 3 (* y y)))) (sqrt (+ (pow x 4) (* (* 3 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(* (cbrt (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (pow (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) 4)) (* (fabs (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (cbrt (sqrt (+ (* x x) (* 3 (* y y))))) 4) (* (sqrt (cbrt (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y))))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (+ (pow x 2) (* 3 (pow y 2))) (pow (sqrt (sqrt (+ (* x x) (* 3 (* y y))))) 3) (+ (pow x 2) (* 3 (pow y 2))) (* (sqrt (+ (* (pow y 6) 27) (pow x 6))) (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (* (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (- (pow x 4) (* (pow y 4) 9)))) (* (sqrt (+ (* (pow y 6) 27) (pow x 6))) (sqrt (+ (pow x 2) (* 3 (pow y 2))))) (* (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (- (pow x 4) (* (pow y 4) 9)))) (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (exp (* 3 (* y y))) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (pow y 6) 27) (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)) (* (sqrt 3) y) x (neg x) (* (sqrt 3) y) x (neg x) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) 4.153 * * * [progress]: adding candidates to table 4.316 * [progress]: [Phase 3 of 3] Extracting. 4.316 * * [regime]: Finding splitpoints for: (# # # # # #) 4.318 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 4.318 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 4.364 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 4.399 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 4.443 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 4.492 * * * * [regimes]: Trying to branch on y from (# # # # # #) 4.540 * * * * [regimes]: Trying to branch on x from (# # # # # #) 4.588 * * * [regime]: Found split indices: #