16.081 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.019 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.019 * * [simplify]: iteration done : 6 enodes (cost 6 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.038 * [taylor]: Taking taylor expansion of 1/2 in y 0.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.053 * [taylor]: Taking taylor expansion of 1/2 in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of -1/8 in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.071 * [taylor]: Taking taylor expansion of -1/2 in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of -1/8 in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.078 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * * * [progress]: simplifying candidates 0.103 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.105 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.116 * * [simplify]: iteration 1 : 141 enodes (cost 294 ) 0.144 * * [simplify]: iteration 2 : 385 enodes (cost 258 ) 0.306 * * [simplify]: iteration 3 : 1086 enodes (cost 255 ) 1.279 * * [simplify]: iteration 4 : 3538 enodes (cost 254 ) 2.249 * * [simplify]: iteration done : 5001 enodes (cost 254 ) 2.249 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ y (* x x)) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (* +nan.0 (- (- (pow y 2) y) (* x x))) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 2.249 * * * [progress]: adding candidates to table 2.327 * * [progress]: iteration 2 / 4 2.327 * * * [progress]: picking best candidate 2.333 * * * * [pick]: Picked # 2.333 * * * [progress]: localizing error 2.341 * * * [progress]: generating rewritten candidates 2.341 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.349 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.352 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.391 * * * [progress]: generating series expansions 2.391 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.392 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 2.392 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 2.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 2.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 2.392 * [taylor]: Taking taylor expansion of 1/3 in y 2.392 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 2.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.392 * [taylor]: Taking taylor expansion of x in y 2.392 * [taylor]: Taking taylor expansion of y in y 2.392 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 2.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 2.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 2.392 * [taylor]: Taking taylor expansion of 1/3 in x 2.392 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 2.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.392 * [taylor]: Taking taylor expansion of x in x 2.392 * [taylor]: Taking taylor expansion of y in x 2.392 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 2.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 2.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 2.392 * [taylor]: Taking taylor expansion of 1/3 in x 2.392 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 2.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.393 * [taylor]: Taking taylor expansion of x in x 2.393 * [taylor]: Taking taylor expansion of y in x 2.393 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 2.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 2.393 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 2.393 * [taylor]: Taking taylor expansion of 1/3 in y 2.393 * [taylor]: Taking taylor expansion of (log y) in y 2.393 * [taylor]: Taking taylor expansion of y in y 2.396 * [taylor]: Taking taylor expansion of 0 in y 2.400 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 2.400 * [taylor]: Taking taylor expansion of 1/3 in y 2.400 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 2.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 2.400 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 2.400 * [taylor]: Taking taylor expansion of 1/3 in y 2.400 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.401 * [taylor]: Taking taylor expansion of y in y 2.410 * [taylor]: Taking taylor expansion of 0 in y 2.418 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 2.419 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 2.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 2.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 2.419 * [taylor]: Taking taylor expansion of 1/3 in y 2.419 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.419 * [taylor]: Taking taylor expansion of x in y 2.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.419 * [taylor]: Taking taylor expansion of y in y 2.420 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 2.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 2.420 * [taylor]: Taking taylor expansion of 1/3 in x 2.420 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.421 * [taylor]: Taking taylor expansion of y in x 2.422 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 2.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 2.422 * [taylor]: Taking taylor expansion of 1/3 in x 2.422 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.422 * [taylor]: Taking taylor expansion of x in x 2.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.423 * [taylor]: Taking taylor expansion of y in x 2.424 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.424 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.424 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.424 * [taylor]: Taking taylor expansion of -2/3 in y 2.424 * [taylor]: Taking taylor expansion of (log x) in y 2.424 * [taylor]: Taking taylor expansion of x in y 2.427 * [taylor]: Taking taylor expansion of 0 in y 2.433 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 2.433 * [taylor]: Taking taylor expansion of 1/3 in y 2.433 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 2.433 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.437 * [taylor]: Taking taylor expansion of 1/3 in y 2.437 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.437 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.437 * [taylor]: Taking taylor expansion of x in y 2.437 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.437 * [taylor]: Taking taylor expansion of y in y 2.450 * [taylor]: Taking taylor expansion of 0 in y 2.450 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 2.450 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 2.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 2.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 2.450 * [taylor]: Taking taylor expansion of 1/3 in y 2.450 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.450 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.450 * [taylor]: Taking taylor expansion of x in y 2.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.450 * [taylor]: Taking taylor expansion of y in y 2.452 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 2.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 2.452 * [taylor]: Taking taylor expansion of 1/3 in x 2.452 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.453 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.453 * [taylor]: Taking taylor expansion of y in x 2.454 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 2.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 2.454 * [taylor]: Taking taylor expansion of 1/3 in x 2.454 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.455 * [taylor]: Taking taylor expansion of y in x 2.456 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.456 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.456 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.456 * [taylor]: Taking taylor expansion of -2/3 in y 2.456 * [taylor]: Taking taylor expansion of (log x) in y 2.456 * [taylor]: Taking taylor expansion of x in y 2.459 * [taylor]: Taking taylor expansion of 0 in y 2.465 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 2.465 * [taylor]: Taking taylor expansion of -1/3 in y 2.465 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 2.465 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.465 * [taylor]: Taking taylor expansion of 1/3 in y 2.465 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.465 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.465 * [taylor]: Taking taylor expansion of x in y 2.465 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.465 * [taylor]: Taking taylor expansion of y in y 2.477 * [taylor]: Taking taylor expansion of 0 in y 2.478 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.478 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 2.478 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 2.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 2.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 2.478 * [taylor]: Taking taylor expansion of 1/3 in y 2.478 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 2.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.478 * [taylor]: Taking taylor expansion of x in y 2.478 * [taylor]: Taking taylor expansion of y in y 2.478 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 2.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 2.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 2.478 * [taylor]: Taking taylor expansion of 1/3 in x 2.478 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 2.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.478 * [taylor]: Taking taylor expansion of y in x 2.479 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 2.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 2.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 2.479 * [taylor]: Taking taylor expansion of 1/3 in x 2.479 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 2.479 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.479 * [taylor]: Taking taylor expansion of x in x 2.479 * [taylor]: Taking taylor expansion of y in x 2.479 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 2.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 2.479 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 2.479 * [taylor]: Taking taylor expansion of 1/3 in y 2.479 * [taylor]: Taking taylor expansion of (log y) in y 2.479 * [taylor]: Taking taylor expansion of y in y 2.482 * [taylor]: Taking taylor expansion of 0 in y 2.486 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 2.487 * [taylor]: Taking taylor expansion of 1/3 in y 2.487 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 2.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 2.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 2.487 * [taylor]: Taking taylor expansion of 1/3 in y 2.487 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 2.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.487 * [taylor]: Taking taylor expansion of y in y 2.496 * [taylor]: Taking taylor expansion of 0 in y 2.504 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 2.504 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 2.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 2.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 2.504 * [taylor]: Taking taylor expansion of 1/3 in y 2.504 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.504 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.504 * [taylor]: Taking taylor expansion of x in y 2.505 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.505 * [taylor]: Taking taylor expansion of y in y 2.506 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 2.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 2.506 * [taylor]: Taking taylor expansion of 1/3 in x 2.506 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.507 * [taylor]: Taking taylor expansion of y in x 2.508 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 2.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 2.508 * [taylor]: Taking taylor expansion of 1/3 in x 2.508 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.509 * [taylor]: Taking taylor expansion of y in x 2.509 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.510 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.510 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.510 * [taylor]: Taking taylor expansion of -2/3 in y 2.510 * [taylor]: Taking taylor expansion of (log x) in y 2.510 * [taylor]: Taking taylor expansion of x in y 2.513 * [taylor]: Taking taylor expansion of 0 in y 2.518 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 2.518 * [taylor]: Taking taylor expansion of 1/3 in y 2.518 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 2.518 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.518 * [taylor]: Taking taylor expansion of 1/3 in y 2.518 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.518 * [taylor]: Taking taylor expansion of x in y 2.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.519 * [taylor]: Taking taylor expansion of y in y 2.534 * [taylor]: Taking taylor expansion of 0 in y 2.535 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 2.535 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 2.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 2.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 2.535 * [taylor]: Taking taylor expansion of 1/3 in y 2.535 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.535 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.535 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.535 * [taylor]: Taking taylor expansion of x in y 2.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.535 * [taylor]: Taking taylor expansion of y in y 2.537 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 2.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 2.537 * [taylor]: Taking taylor expansion of 1/3 in x 2.537 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.538 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.538 * [taylor]: Taking taylor expansion of y in x 2.539 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 2.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 2.539 * [taylor]: Taking taylor expansion of 1/3 in x 2.539 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.540 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.540 * [taylor]: Taking taylor expansion of y in x 2.541 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.541 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.541 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.541 * [taylor]: Taking taylor expansion of -2/3 in y 2.541 * [taylor]: Taking taylor expansion of (log x) in y 2.541 * [taylor]: Taking taylor expansion of x in y 2.544 * [taylor]: Taking taylor expansion of 0 in y 2.549 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 2.549 * [taylor]: Taking taylor expansion of -1/3 in y 2.549 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 2.549 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.549 * [taylor]: Taking taylor expansion of 1/3 in y 2.549 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.549 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.549 * [taylor]: Taking taylor expansion of x in y 2.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.550 * [taylor]: Taking taylor expansion of y in y 2.562 * [taylor]: Taking taylor expansion of 0 in y 2.562 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.563 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 2.563 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 2.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 2.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 2.563 * [taylor]: Taking taylor expansion of 1/3 in y 2.563 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 2.563 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.563 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.563 * [taylor]: Taking taylor expansion of x in y 2.563 * [taylor]: Taking taylor expansion of y in y 2.563 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 2.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 2.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 2.563 * [taylor]: Taking taylor expansion of 1/3 in x 2.563 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 2.563 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.563 * [taylor]: Taking taylor expansion of x in x 2.563 * [taylor]: Taking taylor expansion of y in x 2.563 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 2.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 2.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 2.563 * [taylor]: Taking taylor expansion of 1/3 in x 2.563 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 2.563 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.563 * [taylor]: Taking taylor expansion of x in x 2.563 * [taylor]: Taking taylor expansion of y in x 2.564 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 2.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 2.564 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 2.564 * [taylor]: Taking taylor expansion of 1/3 in y 2.564 * [taylor]: Taking taylor expansion of (log y) in y 2.564 * [taylor]: Taking taylor expansion of y in y 2.566 * [taylor]: Taking taylor expansion of 0 in y 2.571 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 2.571 * [taylor]: Taking taylor expansion of 1/3 in y 2.571 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 2.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 2.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 2.571 * [taylor]: Taking taylor expansion of 1/3 in y 2.571 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 2.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.571 * [taylor]: Taking taylor expansion of y in y 2.580 * [taylor]: Taking taylor expansion of 0 in y 2.589 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 2.589 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 2.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 2.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 2.589 * [taylor]: Taking taylor expansion of 1/3 in y 2.589 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.589 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.589 * [taylor]: Taking taylor expansion of x in y 2.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.589 * [taylor]: Taking taylor expansion of y in y 2.590 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 2.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 2.591 * [taylor]: Taking taylor expansion of 1/3 in x 2.591 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.591 * [taylor]: Taking taylor expansion of y in x 2.592 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 2.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 2.592 * [taylor]: Taking taylor expansion of 1/3 in x 2.592 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.593 * [taylor]: Taking taylor expansion of y in x 2.594 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.594 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.594 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.594 * [taylor]: Taking taylor expansion of -2/3 in y 2.594 * [taylor]: Taking taylor expansion of (log x) in y 2.594 * [taylor]: Taking taylor expansion of x in y 2.597 * [taylor]: Taking taylor expansion of 0 in y 2.602 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 2.603 * [taylor]: Taking taylor expansion of 1/3 in y 2.603 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 2.603 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.603 * [taylor]: Taking taylor expansion of 1/3 in y 2.603 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.603 * [taylor]: Taking taylor expansion of x in y 2.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.603 * [taylor]: Taking taylor expansion of y in y 2.615 * [taylor]: Taking taylor expansion of 0 in y 2.616 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 2.616 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 2.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 2.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 2.616 * [taylor]: Taking taylor expansion of 1/3 in y 2.616 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.616 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.616 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.616 * [taylor]: Taking taylor expansion of x in y 2.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.616 * [taylor]: Taking taylor expansion of y in y 2.618 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 2.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 2.618 * [taylor]: Taking taylor expansion of 1/3 in x 2.618 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.618 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.619 * [taylor]: Taking taylor expansion of y in x 2.620 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 2.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 2.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 2.620 * [taylor]: Taking taylor expansion of 1/3 in x 2.620 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.620 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.621 * [taylor]: Taking taylor expansion of y in x 2.622 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.622 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.622 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.622 * [taylor]: Taking taylor expansion of -2/3 in y 2.622 * [taylor]: Taking taylor expansion of (log x) in y 2.622 * [taylor]: Taking taylor expansion of x in y 2.625 * [taylor]: Taking taylor expansion of 0 in y 2.634 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 2.634 * [taylor]: Taking taylor expansion of -1/3 in y 2.634 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 2.634 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.634 * [taylor]: Taking taylor expansion of 1/3 in y 2.634 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.634 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.634 * [taylor]: Taking taylor expansion of x in y 2.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.635 * [taylor]: Taking taylor expansion of y in y 2.647 * [taylor]: Taking taylor expansion of 0 in y 2.647 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.648 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 2.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 2.648 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.648 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.648 * [taylor]: Taking taylor expansion of x in y 2.648 * [taylor]: Taking taylor expansion of y in y 2.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of y in x 2.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of y in x 2.650 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.650 * [taylor]: Taking taylor expansion of y in y 2.651 * [taylor]: Taking taylor expansion of 0 in y 2.653 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 2.653 * [taylor]: Taking taylor expansion of 1/2 in y 2.653 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.653 * [taylor]: Taking taylor expansion of y in y 2.659 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.660 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.660 * [taylor]: Taking taylor expansion of x in y 2.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.660 * [taylor]: Taking taylor expansion of y in y 2.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.663 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.663 * [taylor]: Taking taylor expansion of y in x 2.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.665 * [taylor]: Taking taylor expansion of x in x 2.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.666 * [taylor]: Taking taylor expansion of y in x 2.668 * [taylor]: Taking taylor expansion of 1 in y 2.668 * [taylor]: Taking taylor expansion of 0 in y 2.671 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.671 * [taylor]: Taking taylor expansion of 1/2 in y 2.671 * [taylor]: Taking taylor expansion of y in y 2.673 * [taylor]: Taking taylor expansion of 0 in y 2.676 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.676 * [taylor]: Taking taylor expansion of -1/8 in y 2.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.676 * [taylor]: Taking taylor expansion of y in y 2.679 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.679 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.679 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.679 * [taylor]: Taking taylor expansion of x in y 2.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.679 * [taylor]: Taking taylor expansion of y in y 2.681 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.681 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.681 * [taylor]: Taking taylor expansion of x in x 2.682 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.682 * [taylor]: Taking taylor expansion of y in x 2.684 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.684 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.684 * [taylor]: Taking taylor expansion of x in x 2.684 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.684 * [taylor]: Taking taylor expansion of y in x 2.686 * [taylor]: Taking taylor expansion of 1 in y 2.686 * [taylor]: Taking taylor expansion of 0 in y 2.688 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.688 * [taylor]: Taking taylor expansion of -1/2 in y 2.688 * [taylor]: Taking taylor expansion of y in y 2.691 * [taylor]: Taking taylor expansion of 0 in y 2.694 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.694 * [taylor]: Taking taylor expansion of -1/8 in y 2.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.694 * [taylor]: Taking taylor expansion of y in y 2.696 * * * [progress]: simplifying candidates 2.697 * [simplify]: Simplifying using # : (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt 1) (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt 1) (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt 1) (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (exp (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (* (cbrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (cbrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))))) (cbrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (* (* (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* x x) y))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (* (cbrt (- (* x x) y)) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (* (cbrt (- (* x x) y)) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* x x) y))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* x x) y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (+ (* x x) y))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (+ (* x x) y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (+ (* x x) y)))) (sqrt (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) (sqrt (cbrt (- (* x x) y))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (sqrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 2.703 * * [simplify]: iteration 0 : 174 enodes (cost 2431 ) 2.741 * * [simplify]: iteration 1 : 293 enodes (cost 2192 ) 2.786 * * [simplify]: iteration 2 : 521 enodes (cost 1683 ) 2.940 * * [simplify]: iteration 3 : 1102 enodes (cost 1635 ) 3.624 * * [simplify]: iteration 4 : 3179 enodes (cost 1634 ) 4.369 * * [simplify]: iteration done : 5001 enodes (cost 1634 ) 4.370 * [simplify]: Simplified to: (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) 1 (cbrt (+ (* x x) y)) (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (pow x 4) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (+ (* x x) y) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) 1 (cbrt (+ (* x x) y)) (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (pow x 4) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (+ (* x x) y) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) 1 (cbrt (+ (* x x) y)) (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (pow x 4) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (+ (* x x) y) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (pow x 6) (pow y 3))) (sqrt (+ (* y (- y (* x x))) (pow x 4))) (sqrt (* (cbrt (- (pow x 4) (* y y))) (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (pow x 6) (pow y 3)))))) (sqrt (* (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (cbrt (- (* x x) y)))) (sqrt (* (cbrt (- (pow x 4) (* y y))) (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (pow x 6) (pow y 3)))))) (sqrt (* (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (cbrt (- (* x x) y)))) (sqrt (* (cbrt (+ (pow x 6) (pow y 3))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))))) (sqrt (* (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (+ (* y (- y (* x x))) (pow x 4))))) (sqrt (* (cbrt (- (pow x 4) (* y y))) (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (pow x 6) (pow y 3)))))) (sqrt (* (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (cbrt (- (* x x) y)))) (sqrt (* (cbrt (+ (pow x 6) (pow y 3))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))))) (sqrt (* (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (+ (* y (- y (* x x))) (pow x 4))))) (sqrt (* (cbrt (+ (pow x 6) (pow y 3))) (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))))) (sqrt (* (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (+ (* y (- y (* x x))) (pow x 4))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) (sqrt (* (cbrt (+ (pow x 6) (pow y 3))) (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* x x) y))))) (fabs (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (+ (pow x 6) (pow y 3))))) (sqrt (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (+ (pow x 6) (pow y 3))))) (sqrt (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (- (pow x 4) (* y y))))) (fabs (cbrt (- (* x x) y))) (sqrt (* (cbrt (+ (pow x 6) (pow y 3))) (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* x x) y))))) (fabs (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (+ (pow x 6) (pow y 3))))) (sqrt (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (+ (pow x 6) (pow y 3))))) (sqrt (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (- (pow x 4) (* y y))))) (fabs (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (- (pow x 4) (* y y))))) (sqrt (cbrt (- (* x x) y))) (sqrt (* (cbrt (+ (pow x 6) (pow y 3))) (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* x x) y))))) (fabs (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (+ (pow x 6) (pow y 3))))) (sqrt (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (+ (pow x 6) (pow y 3))))) (sqrt (* (cbrt (+ (* y (- y (* x x))) (pow x 4))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (- (pow x 4) (* y y)))) (cbrt (- (pow x 4) (* y y))))) (fabs (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (- (pow x 4) (* y y))))) (sqrt (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (pow x 6) (pow y 3))) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* y (- y (* x x))) (pow x 4)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (- (pow x 4) (* y y))))) (sqrt (cbrt (- (* x x) y))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (+ (* (* (pow x 2) (cbrt (/ 1 (pow y 2)))) 1/3) (cbrt y)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* (pow x 2) (cbrt (/ 1 (pow y 2)))) 1/3) (cbrt y)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* (pow x 2) (cbrt (/ 1 (pow y 2)))) 1/3) (cbrt y)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (* +nan.0 (- (- (* y y) y) (* x x))) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) 4.371 * * * [progress]: adding candidates to table 4.598 * * [progress]: iteration 3 / 4 4.598 * * * [progress]: picking best candidate 4.601 * * * * [pick]: Picked # 4.601 * * * [progress]: localizing error 4.606 * * * [progress]: generating rewritten candidates 4.606 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.609 * * * [progress]: generating series expansions 4.609 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.609 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 4.609 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 4.609 * [taylor]: Taking taylor expansion of x in y 4.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.609 * [taylor]: Taking taylor expansion of 1/2 in y 4.609 * [taylor]: Taking taylor expansion of (/ y x) in y 4.609 * [taylor]: Taking taylor expansion of y in y 4.609 * [taylor]: Taking taylor expansion of x in y 4.609 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.609 * [taylor]: Taking taylor expansion of x in x 4.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.609 * [taylor]: Taking taylor expansion of 1/2 in x 4.609 * [taylor]: Taking taylor expansion of (/ y x) in x 4.610 * [taylor]: Taking taylor expansion of y in x 4.610 * [taylor]: Taking taylor expansion of x in x 4.610 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.610 * [taylor]: Taking taylor expansion of x in x 4.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.610 * [taylor]: Taking taylor expansion of 1/2 in x 4.610 * [taylor]: Taking taylor expansion of (/ y x) in x 4.610 * [taylor]: Taking taylor expansion of y in x 4.610 * [taylor]: Taking taylor expansion of x in x 4.610 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.610 * [taylor]: Taking taylor expansion of 1/2 in y 4.610 * [taylor]: Taking taylor expansion of y in y 4.611 * [taylor]: Taking taylor expansion of 0 in y 4.614 * [taylor]: Taking taylor expansion of 1 in y 4.616 * [taylor]: Taking taylor expansion of 0 in y 4.617 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 4.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 4.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.618 * [taylor]: Taking taylor expansion of 1/2 in y 4.618 * [taylor]: Taking taylor expansion of (/ x y) in y 4.618 * [taylor]: Taking taylor expansion of x in y 4.618 * [taylor]: Taking taylor expansion of y in y 4.618 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.618 * [taylor]: Taking taylor expansion of x in y 4.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.618 * [taylor]: Taking taylor expansion of 1/2 in x 4.618 * [taylor]: Taking taylor expansion of (/ x y) in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.618 * [taylor]: Taking taylor expansion of y in x 4.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.618 * [taylor]: Taking taylor expansion of 1/2 in x 4.618 * [taylor]: Taking taylor expansion of (/ x y) in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.618 * [taylor]: Taking taylor expansion of y in x 4.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.619 * [taylor]: Taking taylor expansion of 1 in y 4.620 * [taylor]: Taking taylor expansion of 0 in y 4.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.620 * [taylor]: Taking taylor expansion of 1/2 in y 4.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.621 * [taylor]: Taking taylor expansion of y in y 4.622 * [taylor]: Taking taylor expansion of 0 in y 4.627 * [taylor]: Taking taylor expansion of 0 in y 4.628 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 4.628 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 4.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.628 * [taylor]: Taking taylor expansion of 1/2 in y 4.628 * [taylor]: Taking taylor expansion of (/ x y) in y 4.628 * [taylor]: Taking taylor expansion of x in y 4.628 * [taylor]: Taking taylor expansion of y in y 4.628 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.628 * [taylor]: Taking taylor expansion of x in y 4.628 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 4.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.628 * [taylor]: Taking taylor expansion of 1/2 in x 4.628 * [taylor]: Taking taylor expansion of (/ x y) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.628 * [taylor]: Taking taylor expansion of y in x 4.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.629 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 4.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.629 * [taylor]: Taking taylor expansion of 1/2 in x 4.629 * [taylor]: Taking taylor expansion of (/ x y) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.629 * [taylor]: Taking taylor expansion of y in x 4.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.630 * [taylor]: Taking taylor expansion of -1 in y 4.631 * [taylor]: Taking taylor expansion of 0 in y 4.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.632 * [taylor]: Taking taylor expansion of 1/2 in y 4.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.632 * [taylor]: Taking taylor expansion of y in y 4.633 * [taylor]: Taking taylor expansion of 0 in y 4.636 * [taylor]: Taking taylor expansion of 0 in y 4.636 * * * [progress]: simplifying candidates 4.637 * [simplify]: Simplifying using # : (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 4.638 * * [simplify]: iteration 0 : 27 enodes (cost 166 ) 4.644 * * [simplify]: iteration 1 : 86 enodes (cost 157 ) 4.661 * * [simplify]: iteration 2 : 271 enodes (cost 143 ) 4.765 * * [simplify]: iteration 3 : 904 enodes (cost 143 ) 5.691 * * [simplify]: iteration 4 : 2838 enodes (cost 143 ) 6.729 * * [simplify]: iteration done : 5000 enodes (cost 143 ) 6.730 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x))) (- (* x x) (* 1/4 (* (/ y x) (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 6.730 * * * [progress]: adding candidates to table 6.755 * * [progress]: iteration 4 / 4 6.755 * * * [progress]: picking best candidate 6.756 * * * * [pick]: Picked # 6.756 * * * [progress]: localizing error 6.761 * * * [progress]: generating rewritten candidates 6.761 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.766 * * * [progress]: generating series expansions 6.766 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.766 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 6.766 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 6.766 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 6.766 * [taylor]: Taking taylor expansion of x in x 6.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.766 * [taylor]: Taking taylor expansion of 1/2 in x 6.766 * [taylor]: Taking taylor expansion of (/ y x) in x 6.766 * [taylor]: Taking taylor expansion of y in x 6.766 * [taylor]: Taking taylor expansion of x in x 6.766 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 6.766 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 6.766 * [taylor]: Taking taylor expansion of x in y 6.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.766 * [taylor]: Taking taylor expansion of 1/2 in y 6.766 * [taylor]: Taking taylor expansion of (/ y x) in y 6.766 * [taylor]: Taking taylor expansion of y in y 6.766 * [taylor]: Taking taylor expansion of x in y 6.766 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 6.767 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 6.767 * [taylor]: Taking taylor expansion of x in y 6.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.767 * [taylor]: Taking taylor expansion of 1/2 in y 6.767 * [taylor]: Taking taylor expansion of (/ y x) in y 6.767 * [taylor]: Taking taylor expansion of y in y 6.767 * [taylor]: Taking taylor expansion of x in y 6.767 * [taylor]: Taking taylor expansion of (- x) in x 6.767 * [taylor]: Taking taylor expansion of x in x 6.767 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 6.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 6.767 * [taylor]: Taking taylor expansion of 1/2 in x 6.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.767 * [taylor]: Taking taylor expansion of x in x 6.769 * [taylor]: Taking taylor expansion of 0 in x 6.772 * [taylor]: Taking taylor expansion of 0 in x 6.775 * [taylor]: Taking taylor expansion of 0 in x 6.776 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 6.776 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 6.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 6.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.777 * [taylor]: Taking taylor expansion of 1/2 in x 6.777 * [taylor]: Taking taylor expansion of (/ x y) in x 6.777 * [taylor]: Taking taylor expansion of x in x 6.777 * [taylor]: Taking taylor expansion of y in x 6.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.777 * [taylor]: Taking taylor expansion of x in x 6.777 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 6.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 6.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.777 * [taylor]: Taking taylor expansion of 1/2 in y 6.777 * [taylor]: Taking taylor expansion of (/ x y) in y 6.777 * [taylor]: Taking taylor expansion of x in y 6.777 * [taylor]: Taking taylor expansion of y in y 6.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.777 * [taylor]: Taking taylor expansion of x in y 6.777 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 6.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 6.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.777 * [taylor]: Taking taylor expansion of 1/2 in y 6.777 * [taylor]: Taking taylor expansion of (/ x y) in y 6.777 * [taylor]: Taking taylor expansion of x in y 6.777 * [taylor]: Taking taylor expansion of y in y 6.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.777 * [taylor]: Taking taylor expansion of x in y 6.778 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 6.778 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.778 * [taylor]: Taking taylor expansion of 1/2 in x 6.778 * [taylor]: Taking taylor expansion of x in x 6.779 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.779 * [taylor]: Taking taylor expansion of x in x 6.782 * [taylor]: Taking taylor expansion of 0 in x 6.786 * [taylor]: Taking taylor expansion of 0 in x 6.790 * [taylor]: Taking taylor expansion of 0 in x 6.795 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 6.795 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 6.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.796 * [taylor]: Taking taylor expansion of x in x 6.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.796 * [taylor]: Taking taylor expansion of 1/2 in x 6.796 * [taylor]: Taking taylor expansion of (/ x y) in x 6.796 * [taylor]: Taking taylor expansion of x in x 6.796 * [taylor]: Taking taylor expansion of y in x 6.796 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 6.796 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.796 * [taylor]: Taking taylor expansion of x in y 6.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.796 * [taylor]: Taking taylor expansion of 1/2 in y 6.796 * [taylor]: Taking taylor expansion of (/ x y) in y 6.796 * [taylor]: Taking taylor expansion of x in y 6.796 * [taylor]: Taking taylor expansion of y in y 6.796 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 6.796 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.797 * [taylor]: Taking taylor expansion of x in y 6.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.797 * [taylor]: Taking taylor expansion of 1/2 in y 6.797 * [taylor]: Taking taylor expansion of (/ x y) in y 6.797 * [taylor]: Taking taylor expansion of x in y 6.797 * [taylor]: Taking taylor expansion of y in y 6.797 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 6.797 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.797 * [taylor]: Taking taylor expansion of 1/2 in x 6.797 * [taylor]: Taking taylor expansion of x in x 6.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.798 * [taylor]: Taking taylor expansion of x in x 6.801 * [taylor]: Taking taylor expansion of 0 in x 6.805 * [taylor]: Taking taylor expansion of 0 in x 6.810 * [taylor]: Taking taylor expansion of 0 in x 6.811 * * * [progress]: simplifying candidates 6.811 * [simplify]: Simplifying using # : (/ (exp (* (/ y x) -1/2)) (exp x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (* (* (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x)) (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (+ (* x x) (* (* (/ y x) -1/2) x))) (- x) (- (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 6.813 * * [simplify]: iteration 0 : 32 enodes (cost 173 ) 6.818 * * [simplify]: iteration 1 : 82 enodes (cost 166 ) 6.838 * * [simplify]: iteration 2 : 224 enodes (cost 149 ) 6.939 * * [simplify]: iteration 3 : 855 enodes (cost 147 ) 7.767 * * [simplify]: iteration 4 : 3471 enodes (cost 147 ) 8.883 * * [simplify]: iteration done : 5000 enodes (cost 147 ) 8.883 * [simplify]: Simplified to: (exp (- (* (/ y x) -1/2) x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (pow (- (* (/ y x) -1/2) x) 3) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* x x) (* (* (/ y x) -1/2) (+ (* (/ y x) -1/2) x))) (- x) (- (* (* (/ y x) (/ y x)) 1/4) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) 8.884 * * * [progress]: adding candidates to table 8.908 * [progress]: [Phase 3 of 3] Extracting. 8.908 * * [regime]: Finding splitpoints for: (# # # #) 8.908 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 8.908 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 8.929 * * * * [regimes]: Trying to branch on (* x x) from (# #) 8.941 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 8.961 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 8.975 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 8.998 * * * * [regimes]: Trying to branch on y from (# # # #) 9.040 * * * * [regimes]: Trying to branch on x from (# # # #) 9.068 * * * [regime]: Found split indices: #