16.880 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 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) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.036 * [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 (+ (pow x 2) y)) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.036 * [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 0.037 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.039 * [taylor]: Taking taylor expansion of 1/2 in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [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 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [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 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.052 * [taylor]: Taking taylor expansion of 1/2 in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of -1/8 in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 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 0.063 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.067 * [taylor]: Taking taylor expansion of -1/2 in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of -1/8 in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.074 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.074 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * [progress]: simplifying candidates 0.096 * [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) 0.100 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.103 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.111 * * [simplify]: iteration 2 : 1515 enodes (cost 138 ) 0.144 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.145 * [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 (* 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) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* +nan.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.145 * * * [progress]: adding candidates to table 0.214 * * [progress]: iteration 2 / 4 0.214 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.228 * * * [progress]: generating rewritten candidates 0.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.236 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.240 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.265 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 0.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 0.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 0.265 * [taylor]: Taking taylor expansion of 1/3 in y 0.265 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.266 * [taylor]: Taking taylor expansion of 1/3 in x 0.266 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.266 * [taylor]: Taking taylor expansion of 1/3 in x 0.266 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.266 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.266 * [taylor]: Taking taylor expansion of 1/3 in y 0.266 * [taylor]: Taking taylor expansion of (log y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 0.273 * [taylor]: Taking taylor expansion of 1/3 in y 0.273 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.273 * [taylor]: Taking taylor expansion of 1/3 in y 0.273 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.289 * [taylor]: Taking taylor expansion of 1/3 in y 0.289 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.291 * [taylor]: Taking taylor expansion of 1/3 in x 0.291 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.292 * [taylor]: Taking taylor expansion of 1/3 in x 0.292 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.294 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.294 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.294 * [taylor]: Taking taylor expansion of -2/3 in y 0.294 * [taylor]: Taking taylor expansion of (log x) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.301 * [taylor]: Taking taylor expansion of 1/3 in y 0.301 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.301 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.301 * [taylor]: Taking taylor expansion of 1/3 in y 0.301 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.313 * [taylor]: Taking taylor expansion of 1/3 in y 0.313 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.315 * [taylor]: Taking taylor expansion of 1/3 in x 0.315 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.317 * [taylor]: Taking taylor expansion of 1/3 in x 0.317 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.318 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.318 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.318 * [taylor]: Taking taylor expansion of -2/3 in y 0.318 * [taylor]: Taking taylor expansion of (log x) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.326 * [taylor]: Taking taylor expansion of -1/3 in y 0.326 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.326 * [taylor]: Taking taylor expansion of 1/3 in y 0.326 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.341 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 0.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 0.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 0.341 * [taylor]: Taking taylor expansion of 1/3 in y 0.341 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.341 * [taylor]: Taking taylor expansion of 1/3 in x 0.341 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.342 * [taylor]: Taking taylor expansion of 1/3 in x 0.342 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.342 * [taylor]: Taking taylor expansion of 1/3 in y 0.342 * [taylor]: Taking taylor expansion of (log y) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 0.348 * [taylor]: Taking taylor expansion of 1/3 in y 0.348 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.348 * [taylor]: Taking taylor expansion of 1/3 in y 0.348 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.364 * [taylor]: Taking taylor expansion of 1/3 in y 0.364 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.365 * [taylor]: Taking taylor expansion of 1/3 in x 0.366 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.367 * [taylor]: Taking taylor expansion of 1/3 in x 0.367 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.368 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.368 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.369 * [taylor]: Taking taylor expansion of -2/3 in y 0.369 * [taylor]: Taking taylor expansion of (log x) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.376 * [taylor]: Taking taylor expansion of 1/3 in y 0.376 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.376 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.376 * [taylor]: Taking taylor expansion of 1/3 in y 0.376 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.387 * [taylor]: Taking taylor expansion of 1/3 in y 0.387 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.390 * [taylor]: Taking taylor expansion of 1/3 in x 0.390 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.391 * [taylor]: Taking taylor expansion of 1/3 in x 0.391 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.393 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.393 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.393 * [taylor]: Taking taylor expansion of -2/3 in y 0.393 * [taylor]: Taking taylor expansion of (log x) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.400 * [taylor]: Taking taylor expansion of -1/3 in y 0.400 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.400 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.400 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.400 * [taylor]: Taking taylor expansion of 1/3 in y 0.400 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.411 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.412 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 0.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 0.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 0.412 * [taylor]: Taking taylor expansion of 1/3 in y 0.412 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.412 * [taylor]: Taking taylor expansion of 1/3 in x 0.412 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.412 * [taylor]: Taking taylor expansion of 1/3 in x 0.412 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.413 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.413 * [taylor]: Taking taylor expansion of 1/3 in y 0.413 * [taylor]: Taking taylor expansion of (log y) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 0.419 * [taylor]: Taking taylor expansion of 1/3 in y 0.419 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.419 * [taylor]: Taking taylor expansion of 1/3 in y 0.419 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.437 * [taylor]: Taking taylor expansion of 1/3 in y 0.437 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.438 * [taylor]: Taking taylor expansion of 1/3 in x 0.438 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.440 * [taylor]: Taking taylor expansion of 1/3 in x 0.440 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.441 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.441 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.441 * [taylor]: Taking taylor expansion of -2/3 in y 0.441 * [taylor]: Taking taylor expansion of (log x) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.449 * [taylor]: Taking taylor expansion of 1/3 in y 0.449 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.449 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.449 * [taylor]: Taking taylor expansion of 1/3 in y 0.449 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.460 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.460 * [taylor]: Taking taylor expansion of 1/3 in y 0.460 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.460 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.463 * [taylor]: Taking taylor expansion of 1/3 in x 0.463 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.465 * [taylor]: Taking taylor expansion of 1/3 in x 0.465 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.466 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.466 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.466 * [taylor]: Taking taylor expansion of -2/3 in y 0.466 * [taylor]: Taking taylor expansion of (log x) in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.473 * [taylor]: Taking taylor expansion of -1/3 in y 0.473 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.473 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.473 * [taylor]: Taking taylor expansion of 1/3 in y 0.473 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.485 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.489 * [taylor]: Taking taylor expansion of 1/2 in y 0.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of 1 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.502 * [taylor]: Taking taylor expansion of 1/2 in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.511 * [taylor]: Taking taylor expansion of -1/8 in y 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.513 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of 1 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.522 * [taylor]: Taking taylor expansion of -1/2 in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of -1/8 in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.529 * * * [progress]: simplifying candidates 0.530 * [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 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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)))) 0.537 * * [simplify]: iteration 0 : 304 enodes (cost 1226 ) 0.542 * * [simplify]: iteration 1 : 685 enodes (cost 1186 ) 0.559 * * [simplify]: iteration 2 : 2752 enodes (cost 1170 ) 0.663 * * [simplify]: iteration 3 : 5001 enodes (cost 1117 ) 0.668 * [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 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))) (+ (* 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 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))) (+ (* 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 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))) (+ (* 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 (+ (* x x) y))) (pow (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (fabs (pow (cbrt (+ (pow (* x x) 3) (pow y 3))) 3/2)) (fabs (pow (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3/2)) (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 (+ (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 (- (* (* 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 (+ (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 (- (* (* 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 (+ (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)))) (fabs (pow (cbrt (- (* (* x x) (* x x)) (* y y))) 3/2)) (fabs (pow (cbrt (- (* x x) y)) 3/2)) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* x x) y))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* 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 (+ (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))))) (fabs (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))))) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* 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 (+ (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))))) (fabs (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 (+ (pow (* x x) 3) (pow y 3))))) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* 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 (+ (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))))) (fabs (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 (+ (* 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))) 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 (* (* (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)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.669 * * * [progress]: adding candidates to table 0.876 * * [progress]: iteration 3 / 4 0.876 * * * [progress]: picking best candidate 0.878 * * * * [pick]: Picked # 0.878 * * * [progress]: localizing error 0.883 * * * [progress]: generating rewritten candidates 0.883 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.891 * * * [progress]: generating series expansions 0.891 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.891 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.891 * [taylor]: Taking taylor expansion of 1/2 in x 0.891 * [taylor]: Taking taylor expansion of (/ y x) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.891 * [taylor]: Taking taylor expansion of 1/2 in y 0.891 * [taylor]: Taking taylor expansion of (/ y x) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.891 * [taylor]: Taking taylor expansion of 1/2 in y 0.891 * [taylor]: Taking taylor expansion of (/ y x) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.891 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.891 * [taylor]: Taking taylor expansion of 1/2 in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of 0 in x 0.897 * [taylor]: Taking taylor expansion of 0 in x 0.898 * [taylor]: Taking taylor expansion of 0 in x 0.899 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.899 * [taylor]: Taking taylor expansion of 1/2 in x 0.899 * [taylor]: Taking taylor expansion of (/ x y) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.899 * [taylor]: Taking taylor expansion of 1/2 in y 0.899 * [taylor]: Taking taylor expansion of (/ x y) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.899 * [taylor]: Taking taylor expansion of 1/2 in y 0.899 * [taylor]: Taking taylor expansion of (/ x y) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.899 * [taylor]: Taking taylor expansion of 1/2 in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of 0 in x 0.902 * [taylor]: Taking taylor expansion of 0 in x 0.905 * [taylor]: Taking taylor expansion of 0 in x 0.905 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.905 * [taylor]: Taking taylor expansion of 1/2 in x 0.905 * [taylor]: Taking taylor expansion of (/ x y) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.905 * [taylor]: Taking taylor expansion of 1/2 in y 0.905 * [taylor]: Taking taylor expansion of (/ x y) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.905 * [taylor]: Taking taylor expansion of 1/2 in y 0.905 * [taylor]: Taking taylor expansion of (/ x y) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.905 * [taylor]: Taking taylor expansion of 1/2 in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of 0 in x 0.908 * [taylor]: Taking taylor expansion of 0 in x 0.911 * [taylor]: Taking taylor expansion of 0 in x 0.911 * * * [progress]: simplifying candidates 0.912 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.915 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.919 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.932 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 0.972 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.973 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.973 * * * [progress]: adding candidates to table 1.028 * * [progress]: iteration 4 / 4 1.028 * * * [progress]: picking best candidate 1.029 * * * * [pick]: Picked # 1.029 * * * [progress]: localizing error 1.035 * * * [progress]: generating rewritten candidates 1.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 1.043 * * * [progress]: generating series expansions 1.043 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 1.043 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 1.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.043 * [taylor]: Taking taylor expansion of 1/2 in x 1.043 * [taylor]: Taking taylor expansion of (/ y x) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.043 * [taylor]: Taking taylor expansion of 1/2 in y 1.043 * [taylor]: Taking taylor expansion of (/ y x) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.043 * [taylor]: Taking taylor expansion of 1/2 in y 1.043 * [taylor]: Taking taylor expansion of (/ y x) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.044 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 1.044 * [taylor]: Taking taylor expansion of 1/2 in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of 0 in x 1.045 * [taylor]: Taking taylor expansion of 0 in x 1.047 * [taylor]: Taking taylor expansion of 0 in x 1.048 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.048 * [taylor]: Taking taylor expansion of 1/2 in x 1.048 * [taylor]: Taking taylor expansion of (/ x y) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.048 * [taylor]: Taking taylor expansion of 1/2 in y 1.048 * [taylor]: Taking taylor expansion of (/ x y) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.048 * [taylor]: Taking taylor expansion of 1/2 in y 1.048 * [taylor]: Taking taylor expansion of (/ x y) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.048 * [taylor]: Taking taylor expansion of 1/2 in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of 0 in x 1.051 * [taylor]: Taking taylor expansion of 0 in x 1.054 * [taylor]: Taking taylor expansion of 0 in x 1.054 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.054 * [taylor]: Taking taylor expansion of 1/2 in x 1.054 * [taylor]: Taking taylor expansion of (/ x y) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.054 * [taylor]: Taking taylor expansion of 1/2 in y 1.054 * [taylor]: Taking taylor expansion of (/ x y) in y 1.054 * [taylor]: Taking taylor expansion of x in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.054 * [taylor]: Taking taylor expansion of 1/2 in y 1.054 * [taylor]: Taking taylor expansion of (/ x y) in y 1.054 * [taylor]: Taking taylor expansion of x in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.054 * [taylor]: Taking taylor expansion of 1/2 in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of 0 in x 1.057 * [taylor]: Taking taylor expansion of 0 in x 1.060 * [taylor]: Taking taylor expansion of 0 in x 1.060 * * * [progress]: simplifying candidates 1.060 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.064 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 1.067 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 1.081 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 1.120 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 1.121 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.122 * * * [progress]: adding candidates to table 1.177 * [progress]: [Phase 3 of 3] Extracting. 1.177 * * [regime]: Finding splitpoints for: (# # # #) 1.178 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.178 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.199 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.210 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.230 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.241 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.266 * * * * [regimes]: Trying to branch on y from (# # # #) 1.305 * * * * [regimes]: Trying to branch on x from (# # # #) 1.332 * * * [regime]: Found split indices: #