6.882 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (+ x y)) 0.021 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.022 * [simplify]: Simplified to: (sqrt (+ x y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.034 * [taylor]: Taking taylor expansion of (+ x y) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.035 * [taylor]: Taking taylor expansion of (+ x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.035 * [taylor]: Taking taylor expansion of (+ x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.037 * [taylor]: Taking taylor expansion of 1/2 in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.040 * [taylor]: Taking taylor expansion of -1/8 in y 0.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of +nan.0 in y 0.052 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.052 * [taylor]: Taking taylor expansion of +nan.0 in y 0.052 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of +nan.0 in y 0.054 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.054 * [taylor]: Taking taylor expansion of +nan.0 in y 0.054 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.054 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of +nan.0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.054 * [taylor]: Taking taylor expansion of +nan.0 in y 0.055 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.055 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.057 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.059 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of +nan.0 in y 0.062 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.062 * [taylor]: Taking taylor expansion of +nan.0 in y 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.062 * [taylor]: Taking taylor expansion of +nan.0 in y 0.064 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.064 * [taylor]: Taking taylor expansion of +nan.0 in y 0.064 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.064 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of +nan.0 in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.065 * [taylor]: Taking taylor expansion of +nan.0 in y 0.066 * * * [progress]: simplifying candidates 0.067 * [simplify]: Simplifying using # : (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y))) (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt 1) (sqrt (+ x y)) (sqrt 1) (sqrt (+ x y)) (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (/ 1 2) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 0.069 * * [simplify]: iteration 0 : 122 enodes (cost 95 ) 0.072 * * [simplify]: iteration 1 : 303 enodes (cost 86 ) 0.077 * * [simplify]: iteration 2 : 969 enodes (cost 83 ) 0.092 * * [simplify]: iteration 3 : 2877 enodes (cost 78 ) 0.136 * * [simplify]: iteration 4 : 5002 enodes (cost 78 ) 0.137 * [simplify]: Simplified to: (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (hypot (pow y 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) 1/2 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (* +nan.0 (- (- x y) (pow x 2))) (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0) (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0) 0.137 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.178 * * * * [pick]: Picked # 0.178 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.231 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.239 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.262 * * * [progress]: generating series expansions 0.262 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.262 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.262 * [taylor]: Taking taylor expansion of (+ x y) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.263 * [taylor]: Taking taylor expansion of (+ x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.263 * [taylor]: Taking taylor expansion of (+ x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.265 * [taylor]: Taking taylor expansion of 1/2 in y 0.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.268 * [taylor]: Taking taylor expansion of -1/8 in y 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.274 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of +nan.0 in y 0.279 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.280 * [taylor]: Taking taylor expansion of +nan.0 in y 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of +nan.0 in y 0.281 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.281 * [taylor]: Taking taylor expansion of +nan.0 in y 0.281 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.281 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.281 * [taylor]: Taking taylor expansion of +nan.0 in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.282 * [taylor]: Taking taylor expansion of +nan.0 in y 0.283 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.283 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.285 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.287 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of +nan.0 in y 0.290 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.290 * [taylor]: Taking taylor expansion of +nan.0 in y 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.290 * [taylor]: Taking taylor expansion of +nan.0 in y 0.292 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.292 * [taylor]: Taking taylor expansion of +nan.0 in y 0.292 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.292 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.292 * [taylor]: Taking taylor expansion of +nan.0 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.293 * [taylor]: Taking taylor expansion of +nan.0 in y 0.294 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.294 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/4) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in y 0.294 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in y 0.294 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in y 0.294 * [taylor]: Taking taylor expansion of 1/4 in y 0.294 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 0.294 * [taylor]: Taking taylor expansion of (+ x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.294 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.294 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.294 * [taylor]: Taking taylor expansion of 1/4 in x 0.294 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.294 * [taylor]: Taking taylor expansion of (+ x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.294 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.294 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.294 * [taylor]: Taking taylor expansion of 1/4 in x 0.294 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.294 * [taylor]: Taking taylor expansion of (+ x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.295 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.295 * [taylor]: Taking taylor expansion of 1/4 in y 0.295 * [taylor]: Taking taylor expansion of (log y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.296 * [taylor]: Taking taylor expansion of 1/4 in y 0.296 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.296 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.296 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.296 * [taylor]: Taking taylor expansion of 1/4 in y 0.296 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) in y 0.301 * [taylor]: Taking taylor expansion of -3/32 in y 0.301 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 7)) 1/4) in y 0.301 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 7))))) in y 0.301 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 7)))) in y 0.301 * [taylor]: Taking taylor expansion of 1/4 in y 0.301 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 7))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 7)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 7) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.303 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in y 0.303 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in y 0.303 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in y 0.303 * [taylor]: Taking taylor expansion of 1/4 in y 0.303 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.304 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.304 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.304 * [taylor]: Taking taylor expansion of 1/4 in x 0.304 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.305 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.305 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.306 * [taylor]: Taking taylor expansion of 1/4 in x 0.306 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (pow x -1/4) in y 0.307 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log x))) in y 0.307 * [taylor]: Taking taylor expansion of (* -1/4 (log x)) in y 0.307 * [taylor]: Taking taylor expansion of -1/4 in y 0.307 * [taylor]: Taking taylor expansion of (log x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 x) 1/4) (/ 1 y))) in y 0.308 * [taylor]: Taking taylor expansion of 1/4 in y 0.308 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.308 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.308 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.308 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.308 * [taylor]: Taking taylor expansion of 1/4 in y 0.308 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (* -3/32 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2)))) in y 0.314 * [taylor]: Taking taylor expansion of -3/32 in y 0.315 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2))) in y 0.315 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.315 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.315 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.315 * [taylor]: Taking taylor expansion of 1/4 in y 0.315 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 7/128 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3)))) in y 0.331 * [taylor]: Taking taylor expansion of 7/128 in y 0.331 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3))) in y 0.331 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.331 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.331 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.331 * [taylor]: Taking taylor expansion of 1/4 in y 0.331 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.344 * [approximate]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in y 0.345 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.345 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.522 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.526 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.530 * [taylor]: Taking taylor expansion of +nan.0 in y 0.531 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (- (/ 1 y) +nan.0) (sqrt +nan.0))) in y 0.531 * [taylor]: Taking taylor expansion of +nan.0 in y 0.531 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) +nan.0) (sqrt +nan.0)) in y 0.531 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of +nan.0 in y 0.531 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.531 * [taylor]: Taking taylor expansion of +nan.0 in y 0.542 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) (sqrt +nan.0))) in y 0.542 * [taylor]: Taking taylor expansion of -1/2 in y 0.542 * [taylor]: Taking taylor expansion of (/ (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) (sqrt +nan.0)) in y 0.542 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) in y 0.543 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) in y 0.543 * [taylor]: Taking taylor expansion of +nan.0 in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2))) in y 0.543 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.543 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.543 * [taylor]: Taking taylor expansion of +nan.0 in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in y 0.546 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in y 0.546 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) in y 0.546 * [taylor]: Taking taylor expansion of +nan.0 in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) y)) in y 0.546 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) y) in y 0.546 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.546 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.546 * [taylor]: Taking taylor expansion of +nan.0 in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in y 0.551 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in y 0.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.551 * [taylor]: Taking taylor expansion of +nan.0 in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in y 0.551 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) in y 0.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) in y 0.551 * [taylor]: Taking taylor expansion of +nan.0 in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt +nan.0) 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.551 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.551 * [taylor]: Taking taylor expansion of +nan.0 in y 0.553 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.553 * [taylor]: Taking taylor expansion of +nan.0 in y 0.553 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.554 * [taylor]: Taking taylor expansion of +nan.0 in y 0.643 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.643 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/4) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in y 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in y 0.643 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in y 0.643 * [taylor]: Taking taylor expansion of 1/4 in y 0.643 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 0.643 * [taylor]: Taking taylor expansion of (+ x y) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.643 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.643 * [taylor]: Taking taylor expansion of 1/4 in x 0.643 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.643 * [taylor]: Taking taylor expansion of (+ x y) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.644 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.644 * [taylor]: Taking taylor expansion of 1/4 in x 0.644 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.644 * [taylor]: Taking taylor expansion of (+ x y) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.644 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.644 * [taylor]: Taking taylor expansion of 1/4 in y 0.644 * [taylor]: Taking taylor expansion of (log y) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.645 * [taylor]: Taking taylor expansion of 1/4 in y 0.645 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.645 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.645 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.645 * [taylor]: Taking taylor expansion of 1/4 in y 0.646 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) in y 0.650 * [taylor]: Taking taylor expansion of -3/32 in y 0.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 7)) 1/4) in y 0.650 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 7))))) in y 0.650 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 7)))) in y 0.650 * [taylor]: Taking taylor expansion of 1/4 in y 0.650 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 7))) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 7)) in y 0.650 * [taylor]: Taking taylor expansion of (pow y 7) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.653 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in y 0.653 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in y 0.653 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in y 0.653 * [taylor]: Taking taylor expansion of 1/4 in y 0.653 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.654 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.654 * [taylor]: Taking taylor expansion of 1/4 in x 0.654 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.655 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.655 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.655 * [taylor]: Taking taylor expansion of 1/4 in x 0.655 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (pow x -1/4) in y 0.656 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log x))) in y 0.656 * [taylor]: Taking taylor expansion of (* -1/4 (log x)) in y 0.656 * [taylor]: Taking taylor expansion of -1/4 in y 0.656 * [taylor]: Taking taylor expansion of (log x) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 x) 1/4) (/ 1 y))) in y 0.657 * [taylor]: Taking taylor expansion of 1/4 in y 0.657 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.657 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.657 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.657 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.658 * [taylor]: Taking taylor expansion of 1/4 in y 0.658 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of (* -3/32 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2)))) in y 0.664 * [taylor]: Taking taylor expansion of -3/32 in y 0.664 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2))) in y 0.664 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.664 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.664 * [taylor]: Taking taylor expansion of 1/4 in y 0.664 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.664 * [taylor]: Taking taylor expansion of x in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of (* 7/128 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3)))) in y 0.680 * [taylor]: Taking taylor expansion of 7/128 in y 0.680 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3))) in y 0.680 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.680 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.680 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.680 * [taylor]: Taking taylor expansion of 1/4 in y 0.680 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.681 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.698 * [approximate]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in y 0.698 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.698 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.702 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.702 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.706 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.710 * [taylor]: Taking taylor expansion of +nan.0 in y 0.711 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (- (/ 1 y) +nan.0) (sqrt +nan.0))) in y 0.711 * [taylor]: Taking taylor expansion of +nan.0 in y 0.711 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) +nan.0) (sqrt +nan.0)) in y 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of +nan.0 in y 0.712 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.712 * [taylor]: Taking taylor expansion of +nan.0 in y 0.723 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) (sqrt +nan.0))) in y 0.723 * [taylor]: Taking taylor expansion of -1/2 in y 0.723 * [taylor]: Taking taylor expansion of (/ (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) (sqrt +nan.0)) in y 0.723 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) in y 0.723 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) in y 0.723 * [taylor]: Taking taylor expansion of +nan.0 in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2))) in y 0.723 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.723 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.723 * [taylor]: Taking taylor expansion of +nan.0 in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in y 0.726 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in y 0.726 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) in y 0.726 * [taylor]: Taking taylor expansion of +nan.0 in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) y)) in y 0.726 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) y) in y 0.727 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.727 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.727 * [taylor]: Taking taylor expansion of +nan.0 in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in y 0.731 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in y 0.731 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.731 * [taylor]: Taking taylor expansion of +nan.0 in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in y 0.732 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) in y 0.732 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) in y 0.732 * [taylor]: Taking taylor expansion of +nan.0 in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt +nan.0) 2)) in y 0.732 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.732 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.732 * [taylor]: Taking taylor expansion of +nan.0 in y 0.734 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.734 * [taylor]: Taking taylor expansion of +nan.0 in y 0.734 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.734 * [taylor]: Taking taylor expansion of +nan.0 in y 0.823 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.823 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.823 * [taylor]: Taking taylor expansion of (+ x y) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.823 * [taylor]: Taking taylor expansion of (+ x y) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.824 * [taylor]: Taking taylor expansion of (+ x y) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.825 * [taylor]: Taking taylor expansion of 1/2 in y 0.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.825 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.828 * [taylor]: Taking taylor expansion of -1/8 in y 0.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.834 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.834 * [taylor]: Taking taylor expansion of x in y 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of +nan.0 in y 0.839 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.839 * [taylor]: Taking taylor expansion of +nan.0 in y 0.840 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of +nan.0 in y 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.841 * [taylor]: Taking taylor expansion of +nan.0 in y 0.841 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.841 * [taylor]: Taking taylor expansion of +nan.0 in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.842 * [taylor]: Taking taylor expansion of +nan.0 in y 0.843 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.843 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.845 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.845 * [taylor]: Taking taylor expansion of y in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [taylor]: Taking taylor expansion of +nan.0 in y 0.850 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.850 * [taylor]: Taking taylor expansion of +nan.0 in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.850 * [taylor]: Taking taylor expansion of +nan.0 in y 0.852 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.852 * [taylor]: Taking taylor expansion of +nan.0 in y 0.852 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.852 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.852 * [taylor]: Taking taylor expansion of +nan.0 in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.852 * [taylor]: Taking taylor expansion of +nan.0 in y 0.854 * * * [progress]: simplifying candidates 0.856 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (log1p (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y))))) (log (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (exp (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))) (* (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))))) (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (sqrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y)))))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- x y)))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (- x y))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y)))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y)))) (* (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y)))))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (* (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))) (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))))) (* (sqrt (cbrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y))))) (* (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (* (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (cbrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* 1 1) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ x y))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y)))))) (* (sqrt (sqrt (+ x y))) (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ x y))) (sqrt 1)) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ x y))) 1) (* (cbrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ x y)))) (expm1 (sqrt (sqrt (+ x y)))) (log1p (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y)))) (exp (sqrt (sqrt (+ x y)))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (cbrt (sqrt (sqrt (+ x y)))) (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))) (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x y))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt 1) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- x y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (expm1 (sqrt (sqrt (+ x y)))) (log1p (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y)))) (exp (sqrt (sqrt (+ x y)))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (cbrt (sqrt (sqrt (+ x y)))) (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))) (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x y))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt 1) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- x y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y))) (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt 1) (sqrt (+ x y)) (sqrt 1) (sqrt (+ x y)) (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (/ 1 2) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* 1/4 (* x (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (* 3/32 (* (pow x 2) (pow (/ 1 (pow y 7)) 1/4)))) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (+ (* 1/4 (* x (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (* 3/32 (* (pow x 2) (pow (/ 1 (pow y 7)) 1/4)))) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 0.867 * * [simplify]: iteration 0 : 345 enodes (cost 868 ) 0.874 * * [simplify]: iteration 1 : 1430 enodes (cost 786 ) 0.904 * * [simplify]: iteration 2 : 5002 enodes (cost 772 ) 0.907 * [simplify]: Simplified to: (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ x y) (sqrt (+ x y)) (* (+ x y) (+ x y)) (+ x y) (* (+ x y) (+ x y)) 2 (log (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (hypot (pow y 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* y y) (* x y)))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- x y)))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (pow (cbrt (sqrt (sqrt (+ x y)))) 4) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 2 1/2 1 1/2 (* (sqrt (sqrt (+ x y))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y)))))) (* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (sqrt (+ x y))) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (sqrt (+ x y))) (pow (cbrt (sqrt (sqrt (+ x y)))) 4) (* (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (+ x y)))) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (+ x y)) (sqrt (+ x y)) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (+ x y)) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (+ x y)) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (- (* x x) (* y y))))) (expm1 (sqrt (sqrt (+ x y)))) (log1p (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y)))) (exp (sqrt (sqrt (+ x y)))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (cbrt (sqrt (sqrt (+ x y)))) (pow (sqrt (sqrt (+ x y))) 3) (fabs (cbrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) 1 (sqrt (sqrt (+ x y))) 1 (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) 1 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- x y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (expm1 (sqrt (sqrt (+ x y)))) (log1p (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y)))) (exp (sqrt (sqrt (+ x y)))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (cbrt (sqrt (sqrt (+ x y)))) (pow (sqrt (sqrt (+ x y))) 3) (fabs (cbrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) 1 (sqrt (sqrt (+ x y))) 1 (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) 1 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- x y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (hypot (pow y 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) 1/2 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (* 1/4 x) (pow (/ 1 (pow y 3)) 1/4) (- (pow y 1/4) (* 3/32 (* (pow x 2) (pow (/ 1 (pow y 7)) 1/4))))) (pow (/ 1 x) -1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (fma (* 1/4 x) (pow (/ 1 (pow y 3)) 1/4) (- (pow y 1/4) (* 3/32 (* (pow x 2) (pow (/ 1 (pow y 7)) 1/4))))) (pow (/ 1 x) -1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) 0.908 * * * [progress]: adding candidates to table 1.161 * * [progress]: iteration 3 / 4 1.161 * * * [progress]: picking best candidate 1.163 * * * * [pick]: Picked # 1.163 * * * [progress]: localizing error 1.170 * * * [progress]: generating rewritten candidates 1.170 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.180 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.192 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.201 * * * [progress]: generating series expansions 1.201 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.201 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 1.201 * [taylor]: Taking taylor expansion of (+ x y) in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 1.202 * [taylor]: Taking taylor expansion of (+ x y) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 1.203 * [taylor]: Taking taylor expansion of (+ x y) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.204 * [taylor]: Taking taylor expansion of 1/2 in y 1.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 1.207 * [taylor]: Taking taylor expansion of -1/8 in y 1.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.207 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.213 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.214 * [taylor]: Taking taylor expansion of x in y 1.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.215 * [taylor]: Taking taylor expansion of y in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.217 * [taylor]: Taking taylor expansion of y in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of 0 in y 1.218 * [taylor]: Taking taylor expansion of +nan.0 in y 1.219 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 1.219 * [taylor]: Taking taylor expansion of +nan.0 in y 1.219 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 1.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.220 * [taylor]: Taking taylor expansion of +nan.0 in y 1.221 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.221 * [taylor]: Taking taylor expansion of +nan.0 in y 1.221 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.221 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.221 * [taylor]: Taking taylor expansion of +nan.0 in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.221 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.222 * [taylor]: Taking taylor expansion of +nan.0 in y 1.223 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.223 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 1.223 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.223 * [taylor]: Taking taylor expansion of y in y 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.223 * [taylor]: Taking taylor expansion of x in y 1.225 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 1.225 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 1.227 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.228 * [taylor]: Taking taylor expansion of +nan.0 in y 1.230 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 1.230 * [taylor]: Taking taylor expansion of +nan.0 in y 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 1.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.230 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.230 * [taylor]: Taking taylor expansion of +nan.0 in y 1.232 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.232 * [taylor]: Taking taylor expansion of +nan.0 in y 1.232 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.232 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.232 * [taylor]: Taking taylor expansion of +nan.0 in y 1.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.232 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.232 * [taylor]: Taking taylor expansion of +nan.0 in y 1.234 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.234 * [approximate]: Taking taylor expansion of (pow (sqrt (+ x y)) 3) in (x y) around 0 1.234 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x y)) 3) in y 1.234 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 1.234 * [taylor]: Taking taylor expansion of (+ x y) in y 1.234 * [taylor]: Taking taylor expansion of x in y 1.234 * [taylor]: Taking taylor expansion of y in y 1.234 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x y)) 3) in x 1.234 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 1.234 * [taylor]: Taking taylor expansion of (+ x y) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.235 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x y)) 3) in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 1.235 * [taylor]: Taking taylor expansion of (+ x y) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of y in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 1.235 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.235 * [taylor]: Taking taylor expansion of y in y 1.237 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 1.237 * [taylor]: Taking taylor expansion of 3/2 in y 1.237 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.239 * [taylor]: Taking taylor expansion of (* 3/8 (sqrt (/ 1 y))) in y 1.239 * [taylor]: Taking taylor expansion of 3/8 in y 1.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.243 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 y) (/ 1 x))) 3) in (x y) around 0 1.243 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 y) (/ 1 x))) 3) in y 1.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.243 * [taylor]: Taking taylor expansion of x in y 1.244 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 y) (/ 1 x))) 3) in x 1.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 y) (/ 1 x))) 3) in x 1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.246 * [taylor]: Taking taylor expansion of y in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of +nan.0 in y 1.249 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.249 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.250 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.250 * [taylor]: Taking taylor expansion of +nan.0 in y 1.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.250 * [taylor]: Taking taylor expansion of y in y 1.250 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.250 * [taylor]: Taking taylor expansion of +nan.0 in y 1.255 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 1.255 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 1.255 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.255 * [taylor]: Taking taylor expansion of +nan.0 in y 1.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.255 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 1.255 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 1.255 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 1.255 * [taylor]: Taking taylor expansion of +nan.0 in y 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.256 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.256 * [taylor]: Taking taylor expansion of +nan.0 in y 1.261 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.261 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 3) in y 1.261 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 1.261 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.266 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 3) in x 1.266 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 1.266 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.266 * [taylor]: Taking taylor expansion of y in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 3) in x 1.268 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 1.268 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.268 * [taylor]: Taking taylor expansion of y in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of +nan.0 in y 1.273 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.273 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.273 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.273 * [taylor]: Taking taylor expansion of +nan.0 in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.273 * [taylor]: Taking taylor expansion of +nan.0 in y 1.279 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 1.279 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 1.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.279 * [taylor]: Taking taylor expansion of +nan.0 in y 1.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.279 * [taylor]: Taking taylor expansion of y in y 1.279 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 1.279 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 1.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 1.279 * [taylor]: Taking taylor expansion of +nan.0 in y 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.280 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.280 * [taylor]: Taking taylor expansion of +nan.0 in y 1.286 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.286 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 1.286 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 1.286 * [taylor]: Taking taylor expansion of (+ x y) in y 1.286 * [taylor]: Taking taylor expansion of x in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.286 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 1.286 * [taylor]: Taking taylor expansion of (+ x y) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.286 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 1.286 * [taylor]: Taking taylor expansion of (+ x y) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.287 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.288 * [taylor]: Taking taylor expansion of 1/2 in y 1.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.290 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 1.290 * [taylor]: Taking taylor expansion of -1/8 in y 1.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.291 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.296 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.297 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.297 * [taylor]: Taking taylor expansion of x in y 1.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.298 * [taylor]: Taking taylor expansion of y in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.299 * [taylor]: Taking taylor expansion of y in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of 0 in y 1.301 * [taylor]: Taking taylor expansion of +nan.0 in y 1.302 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 1.302 * [taylor]: Taking taylor expansion of +nan.0 in y 1.302 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [taylor]: Taking taylor expansion of +nan.0 in y 1.304 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.304 * [taylor]: Taking taylor expansion of +nan.0 in y 1.304 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.304 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.304 * [taylor]: Taking taylor expansion of +nan.0 in y 1.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.304 * [taylor]: Taking taylor expansion of +nan.0 in y 1.305 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.305 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 1.305 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.306 * [taylor]: Taking taylor expansion of x in y 1.307 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 1.307 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 1.309 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.309 * [taylor]: Taking taylor expansion of y in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of 0 in y 1.311 * [taylor]: Taking taylor expansion of +nan.0 in y 1.312 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 1.312 * [taylor]: Taking taylor expansion of +nan.0 in y 1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 1.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.312 * [taylor]: Taking taylor expansion of y in y 1.312 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.312 * [taylor]: Taking taylor expansion of +nan.0 in y 1.314 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.314 * [taylor]: Taking taylor expansion of +nan.0 in y 1.314 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.314 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.314 * [taylor]: Taking taylor expansion of +nan.0 in y 1.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.315 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.315 * [taylor]: Taking taylor expansion of +nan.0 in y 1.316 * * * [progress]: simplifying candidates 1.317 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (sqrt (+ x y)) 3))) (log1p (cbrt (pow (sqrt (+ x y)) 3))) (log (cbrt (pow (sqrt (+ x y)) 3))) (exp (cbrt (pow (sqrt (+ x y)) 3))) (cbrt (pow (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) 3)) (cbrt (pow (cbrt (sqrt (+ x y))) 3)) (cbrt (pow (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (sqrt (cbrt (+ x y))) 3)) (cbrt (pow (sqrt (sqrt (+ x y))) 3)) (cbrt (pow (sqrt (sqrt (+ x y))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt (sqrt (+ x y))) 3)) (cbrt (pow (sqrt (sqrt (+ x y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (* (sqrt (+ x y)) (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (cbrt (* (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt (+ x y)) 3)))) (cbrt (cbrt (pow (sqrt (+ x y)) 3))) (cbrt (pow (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) 3)) (cbrt (pow (cbrt (sqrt (+ x y))) 3)) (cbrt (pow (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (sqrt (cbrt (+ x y))) 3)) (cbrt (pow (sqrt (sqrt (+ x y))) 3)) (cbrt (pow (sqrt (sqrt (+ x y))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt (sqrt (+ x y))) 3)) (cbrt (pow (sqrt (sqrt (+ x y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (sqrt (+ x y))) (cbrt (* (sqrt (+ x y)) (sqrt (+ x y)))) (cbrt (sqrt (pow (sqrt (+ x y)) 3))) (cbrt (sqrt (pow (sqrt (+ x y)) 3))) (cbrt 1) (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt (+ x y)) (/ 3 2))) (cbrt (pow (sqrt (+ x y)) (/ 3 2))) (cbrt (pow (sqrt (+ (pow x 3) (pow y 3))) 3)) (cbrt (pow (sqrt (+ (* x x) (- (* y y) (* x y)))) 3)) (cbrt (pow (sqrt (- (* x x) (* y y))) 3)) (cbrt (pow (sqrt (- x y)) 3)) (* (cbrt (cbrt (pow (sqrt (+ x y)) 3))) (cbrt (cbrt (pow (sqrt (+ x y)) 3)))) (cbrt (cbrt (pow (sqrt (+ x y)) 3))) (* (* (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt (+ x y)) 3))) (cbrt (pow (sqrt (+ x y)) 3))) (sqrt (cbrt (pow (sqrt (+ x y)) 3))) (sqrt (cbrt (pow (sqrt (+ x y)) 3))) (expm1 (pow (sqrt (+ x y)) 3)) (log1p (pow (sqrt (+ x y)) 3)) (* (log (sqrt (+ x y))) 3) (* (log (sqrt (+ x y))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (+ x y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ x y)) (sqrt 3)) (pow (sqrt (+ x y)) 1) (pow (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) 3) (pow (cbrt (sqrt (+ x y))) 3) (pow (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (sqrt (cbrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ x y)) 3) (pow (sqrt 1) 3) (pow (sqrt (+ x y)) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow 1 3) (pow (sqrt (+ x y)) 3) (* (sqrt (+ x y)) (sqrt (+ x y))) (log (pow (sqrt (+ x y)) 3)) (exp (pow (sqrt (+ x y)) 3)) (* (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt (+ x y)) 3))) (cbrt (pow (sqrt (+ x y)) 3)) (* (* (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 3)) (pow (sqrt (+ x y)) 3)) (pow (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) 3) (pow (cbrt (sqrt (+ x y))) 3) (pow (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (sqrt (cbrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ x y)) 3) (pow (sqrt 1) 3) (pow (sqrt (+ x y)) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow 1 3) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ (pow x 3) (pow y 3))) 3) (pow (sqrt (+ (* x x) (- (* y y) (* x y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (pow (sqrt (- x y)) 3) (* (sqrt (+ x y)) (sqrt (+ x y))) (/ 3 2) (sqrt (pow (sqrt (+ x y)) 3)) (sqrt (pow (sqrt (+ x y)) 3)) (pow (sqrt (+ x y)) (/ 3 2)) (pow (sqrt (+ x y)) (/ 3 2)) (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y))) (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt 1) (sqrt (+ x y)) (sqrt 1) (sqrt (+ x y)) (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (/ 1 2) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 (* x y))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 1.323 * * [simplify]: iteration 0 : 305 enodes (cost 456 ) 1.328 * * [simplify]: iteration 1 : 1013 enodes (cost 406 ) 1.348 * * [simplify]: iteration 2 : 5001 enodes (cost 387 ) 1.350 * [simplify]: Simplified to: (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (cbrt (+ x y)) (cbrt (sqrt (+ x y))) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) (cbrt (+ x y)) (cbrt (sqrt (+ x y))) (cbrt (+ x y)) (cbrt (sqrt (+ x y))) (cbrt (+ x y)) (cbrt (sqrt (+ x y))) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) (cbrt (sqrt (+ x y))) (cbrt (+ x y)) (cbrt (sqrt (pow (sqrt (+ x y)) 3))) (cbrt (sqrt (pow (sqrt (+ x y)) 3))) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (hypot (pow y 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (cbrt (+ x y)) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (expm1 (pow (sqrt (+ x y)) 3)) (log1p (pow (sqrt (+ x y)) 3)) (log (pow (sqrt (+ x y)) 3)) (log (pow (sqrt (+ x y)) 3)) 3/2 3 3/2 (pow (sqrt (+ x y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ x y)) (sqrt 3)) (sqrt (+ x y)) (+ x y) (sqrt (+ x y)) (pow (fabs (cbrt (+ x y))) 3) (pow (sqrt (cbrt (+ x y))) 3) (pow (sqrt (+ x y)) 3/2) (pow (sqrt (+ x y)) 3/2) 1 (pow (sqrt (+ x y)) 3) 1 (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 3/2) (pow (sqrt (+ x y)) 3/2) 1 (pow (sqrt (+ x y)) 3) (+ x y) (log (pow (sqrt (+ x y)) 3)) (exp (pow (sqrt (+ x y)) 3)) (+ x y) (sqrt (+ x y)) (pow (pow (sqrt (+ x y)) 3) 3) (+ x y) (sqrt (+ x y)) (pow (fabs (cbrt (+ x y))) 3) (pow (sqrt (cbrt (+ x y))) 3) (pow (sqrt (+ x y)) 3/2) (pow (sqrt (+ x y)) 3/2) 1 (pow (sqrt (+ x y)) 3) 1 (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 3/2) (pow (sqrt (+ x y)) 3/2) 1 (pow (sqrt (+ x y)) 3) (pow (hypot (pow y 3/2) (pow x 3/2)) 3) (pow (sqrt (+ (* x x) (- (* y y) (* x y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (pow (sqrt (- x y)) 3) (+ x y) 3/2 (sqrt (pow (sqrt (+ x y)) 3)) (sqrt (pow (sqrt (+ x y)) 3)) (pow (sqrt (+ x y)) 3/2) (pow (sqrt (+ x y)) 3/2) (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (cbrt (+ x y)) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (hypot (pow y 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) 1/2 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (* y (- y x)))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ (/ +nan.0 x) x)))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ (/ +nan.0 x) x)))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) 1.351 * * * [progress]: adding candidates to table 1.488 * [progress]: [Phase 3 of 3] Extracting. 1.488 * * [regime]: Finding splitpoints for: (# # #) 1.489 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (sqrt (+ x y)) y x) 1.489 * * * * [regimes]: Trying to branch on (+ x y) from (# # #) 1.501 * * * * [regimes]: Trying to branch on (sqrt (+ x y)) from (# # #) 1.517 * * * * [regimes]: Trying to branch on y from (# # #) 1.531 * * * * [regimes]: Trying to branch on x from (# # #) 1.544 * * * [regime]: Found split indices: #