23.152 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.042 * [taylor]: Taking taylor expansion of 1/2 in y 0.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.056 * [taylor]: Taking taylor expansion of 1/2 in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of -1/8 in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [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 (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.072 * [taylor]: Taking taylor expansion of -1/2 in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of -1/8 in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.084 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.085 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [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 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [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 y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.105 * * * [progress]: simplifying candidates 0.105 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* 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))) (* (* (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))) (expm1 (+ (* x x) y)) (log1p (+ (* 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) 0.109 * * [simplify]: iteration 0 : 153 enodes (cost 160 ) 0.113 * * [simplify]: iteration 1 : 518 enodes (cost 146 ) 0.123 * * [simplify]: iteration 2 : 1716 enodes (cost 138 ) 0.157 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.158 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* 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 (hypot x (pow y 1/2)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (hypot x (pow y 1/2)) (hypot (pow y 3/2) (pow x 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))) (expm1 (+ (* x x) y)) (log1p (+ (* 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 (fma x x y) 3) (hypot x (pow y 1/2)) (hypot x (pow y 1/2)) (fma (pow y 2) y (pow x 6)) (fma y (- y (pow x 2)) (pow x 4)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* +nan.0 (fma (- x) x (fma y y (- y)))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) (fma x x y) (fma x x y) (fma x x y) 0.158 * * * [progress]: adding candidates to table 0.248 * * [progress]: iteration 2 / 4 0.248 * * * [progress]: picking best candidate 0.255 * * * * [pick]: Picked # 0.255 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.264 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.267 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.271 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.275 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.297 * * * [progress]: generating series expansions 0.297 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.297 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 0.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 0.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 0.297 * [taylor]: Taking taylor expansion of 1/3 in y 0.297 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.298 * [taylor]: Taking taylor expansion of 1/3 in x 0.298 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.298 * [taylor]: Taking taylor expansion of 1/3 in x 0.298 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.298 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.298 * [taylor]: Taking taylor expansion of 1/3 in y 0.298 * [taylor]: Taking taylor expansion of (log y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 0.306 * [taylor]: Taking taylor expansion of 1/3 in y 0.306 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.306 * [taylor]: Taking taylor expansion of 1/3 in y 0.306 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.323 * [taylor]: Taking taylor expansion of 1/3 in y 0.323 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.324 * [taylor]: Taking taylor expansion of 1/3 in x 0.324 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.326 * [taylor]: Taking taylor expansion of 1/3 in x 0.326 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.327 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.327 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.327 * [taylor]: Taking taylor expansion of -2/3 in y 0.327 * [taylor]: Taking taylor expansion of (log x) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.336 * [taylor]: Taking taylor expansion of 1/3 in y 0.336 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.336 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.336 * [taylor]: Taking taylor expansion of 1/3 in y 0.336 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.354 * [taylor]: Taking taylor expansion of 1/3 in y 0.354 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.356 * [taylor]: Taking taylor expansion of 1/3 in x 0.356 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.358 * [taylor]: Taking taylor expansion of 1/3 in x 0.358 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.360 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.360 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.360 * [taylor]: Taking taylor expansion of -2/3 in y 0.360 * [taylor]: Taking taylor expansion of (log x) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.368 * [taylor]: Taking taylor expansion of -1/3 in y 0.368 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.368 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.368 * [taylor]: Taking taylor expansion of 1/3 in y 0.368 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.381 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 0.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 0.381 * [taylor]: Taking taylor expansion of 1/3 in y 0.381 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.381 * [taylor]: Taking taylor expansion of 1/3 in x 0.381 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.381 * [taylor]: Taking taylor expansion of 1/3 in x 0.381 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.382 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.382 * [taylor]: Taking taylor expansion of 1/3 in y 0.382 * [taylor]: Taking taylor expansion of (log y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 0.389 * [taylor]: Taking taylor expansion of 1/3 in y 0.389 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.389 * [taylor]: Taking taylor expansion of 1/3 in y 0.389 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.406 * [taylor]: Taking taylor expansion of 1/3 in y 0.406 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.407 * [taylor]: Taking taylor expansion of 1/3 in x 0.407 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.409 * [taylor]: Taking taylor expansion of 1/3 in x 0.409 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.411 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.411 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.411 * [taylor]: Taking taylor expansion of -2/3 in y 0.411 * [taylor]: Taking taylor expansion of (log x) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.419 * [taylor]: Taking taylor expansion of 1/3 in y 0.419 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.419 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.419 * [taylor]: Taking taylor expansion of 1/3 in y 0.419 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.431 * [taylor]: Taking taylor expansion of 1/3 in y 0.431 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.434 * [taylor]: Taking taylor expansion of 1/3 in x 0.434 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.435 * [taylor]: Taking taylor expansion of 1/3 in x 0.435 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.437 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.437 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.437 * [taylor]: Taking taylor expansion of -2/3 in y 0.437 * [taylor]: Taking taylor expansion of (log x) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.452 * [taylor]: Taking taylor expansion of -1/3 in y 0.452 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.452 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.452 * [taylor]: Taking taylor expansion of 1/3 in y 0.452 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.465 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.465 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 0.465 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 0.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 0.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 0.465 * [taylor]: Taking taylor expansion of 1/3 in y 0.465 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.466 * [taylor]: Taking taylor expansion of 1/3 in x 0.466 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.466 * [taylor]: Taking taylor expansion of 1/3 in x 0.466 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.466 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.466 * [taylor]: Taking taylor expansion of 1/3 in y 0.466 * [taylor]: Taking taylor expansion of (log y) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 0.473 * [taylor]: Taking taylor expansion of 1/3 in y 0.473 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.473 * [taylor]: Taking taylor expansion of 1/3 in y 0.473 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.490 * [taylor]: Taking taylor expansion of 1/3 in y 0.490 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.492 * [taylor]: Taking taylor expansion of 1/3 in x 0.492 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.493 * [taylor]: Taking taylor expansion of 1/3 in x 0.493 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.495 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.495 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.495 * [taylor]: Taking taylor expansion of -2/3 in y 0.495 * [taylor]: Taking taylor expansion of (log x) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.503 * [taylor]: Taking taylor expansion of 1/3 in y 0.503 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.503 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.503 * [taylor]: Taking taylor expansion of 1/3 in y 0.503 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.516 * [taylor]: Taking taylor expansion of 1/3 in y 0.516 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.518 * [taylor]: Taking taylor expansion of 1/3 in x 0.518 * [taylor]: Taking taylor expansion of (log (- (/ 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 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.520 * [taylor]: Taking taylor expansion of 1/3 in x 0.520 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.521 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.521 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.521 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.521 * [taylor]: Taking taylor expansion of -2/3 in y 0.521 * [taylor]: Taking taylor expansion of (log x) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.530 * [taylor]: Taking taylor expansion of -1/3 in y 0.530 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.530 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.530 * [taylor]: Taking taylor expansion of 1/3 in y 0.530 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.548 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.548 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.552 * [taylor]: Taking taylor expansion of 1/2 in y 0.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.557 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of 1 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.567 * [taylor]: Taking taylor expansion of 1/2 in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of -1/8 in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.574 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.574 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of 1 in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.583 * [taylor]: Taking taylor expansion of -1/2 in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of -1/8 in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * * * [progress]: simplifying candidates 0.592 * [simplify]: Simplifying using # : (expm1 (cbrt (+ (* x x) y))) (log1p (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))) (expm1 (cbrt (+ (* x x) y))) (log1p (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))) (expm1 (cbrt (+ (* x x) y))) (log1p (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))) (expm1 (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (log1p (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (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)))) 0.600 * * [simplify]: iteration 0 : 318 enodes (cost 1268 ) 0.604 * * [simplify]: iteration 1 : 738 enodes (cost 1232 ) 0.623 * * [simplify]: iteration 2 : 3081 enodes (cost 1213 ) 0.736 * * [simplify]: iteration 3 : 5001 enodes (cost 1146 ) 0.741 * [simplify]: Simplified to: (expm1 (cbrt (+ (* x x) y))) (log1p (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))) (fma x x y) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (expm1 (cbrt (+ (* x x) y))) (log1p (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))) (fma x x y) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (expm1 (cbrt (+ (* x x) y))) (log1p (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))) (fma x x y) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (expm1 (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (log1p (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (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 (hypot x (pow y 1/2)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (hypot (pow y 3/2) (pow x 3)) (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))))) (fma 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) (fma 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) (fma 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) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) 0.742 * * * [progress]: adding candidates to table 0.991 * * [progress]: iteration 3 / 4 0.991 * * * [progress]: picking best candidate 0.994 * * * * [pick]: Picked # 0.994 * * * [progress]: localizing error 0.999 * * * [progress]: generating rewritten candidates 0.999 * * * [progress]: generating series expansions 0.999 * * * [progress]: simplifying candidates 0.999 * [simplify]: Simplifying using # : 1.001 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.001 * [simplify]: Simplified to: 1.001 * * * [progress]: adding candidates to table 1.002 * * [progress]: iteration 4 / 4 1.002 * * * [progress]: picking best candidate 1.003 * * * * [pick]: Picked # 1.003 * * * [progress]: localizing error 1.009 * * * [progress]: generating rewritten candidates 1.009 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 1.017 * * * [progress]: generating series expansions 1.017 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 1.017 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 1.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.017 * [taylor]: Taking taylor expansion of 1/2 in x 1.017 * [taylor]: Taking taylor expansion of (/ y x) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.017 * [taylor]: Taking taylor expansion of 1/2 in y 1.017 * [taylor]: Taking taylor expansion of (/ y x) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.017 * [taylor]: Taking taylor expansion of 1/2 in y 1.017 * [taylor]: Taking taylor expansion of (/ y x) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 1.017 * [taylor]: Taking taylor expansion of 1/2 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of 0 in x 1.020 * [taylor]: Taking taylor expansion of 0 in x 1.021 * [taylor]: Taking taylor expansion of 0 in x 1.027 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.027 * [taylor]: Taking taylor expansion of 1/2 in x 1.027 * [taylor]: Taking taylor expansion of (/ x y) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.027 * [taylor]: Taking taylor expansion of 1/2 in y 1.027 * [taylor]: Taking taylor expansion of (/ x y) in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.027 * [taylor]: Taking taylor expansion of 1/2 in y 1.027 * [taylor]: Taking taylor expansion of (/ x y) in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.027 * [taylor]: Taking taylor expansion of 1/2 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of 0 in x 1.031 * [taylor]: Taking taylor expansion of 0 in x 1.034 * [taylor]: Taking taylor expansion of 0 in x 1.034 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.034 * [taylor]: Taking taylor expansion of 1/2 in x 1.034 * [taylor]: Taking taylor expansion of (/ x y) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.034 * [taylor]: Taking taylor expansion of 1/2 in y 1.034 * [taylor]: Taking taylor expansion of (/ x y) in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.034 * [taylor]: Taking taylor expansion of 1/2 in y 1.034 * [taylor]: Taking taylor expansion of (/ x y) in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.034 * [taylor]: Taking taylor expansion of 1/2 in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of 0 in x 1.038 * [taylor]: Taking taylor expansion of 0 in x 1.040 * [taylor]: Taking taylor expansion of 0 in x 1.041 * * * [progress]: simplifying candidates 1.041 * [simplify]: Simplifying using # : (expm1 (* 1/2 (/ y x))) (log1p (* 1/2 (/ y x))) (* 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)) 1.045 * * [simplify]: iteration 0 : 166 enodes (cost 134 ) 1.050 * * [simplify]: iteration 1 : 729 enodes (cost 124 ) 1.064 * * [simplify]: iteration 2 : 2968 enodes (cost 124 ) 1.105 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 1.106 * [simplify]: Simplified to: (expm1 (* 1/2 (/ y x))) (log1p (* 1/2 (/ y x))) (* 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)) 1.107 * * * [progress]: adding candidates to table 1.195 * [progress]: [Phase 3 of 3] Extracting. 1.195 * * [regime]: Finding splitpoints for: (# # # #) 1.196 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.196 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.229 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.247 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.267 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.278 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.303 * * * * [regimes]: Trying to branch on y from (# # # #) 1.343 * * * * [regimes]: Trying to branch on x from (# # # #) 1.367 * * * [regime]: Found split indices: #