8.724 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (sqrt (+ x y)) 0.025 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.026 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.026 * [simplify]: Simplified to: (sqrt (+ x y)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.035 * [taylor]: Taking taylor expansion of (+ x y) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [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 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.036 * [taylor]: Taking taylor expansion of (+ x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.038 * [taylor]: Taking taylor expansion of 1/2 in y 0.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.040 * [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 0.041 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 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 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of +nan.0 in y 0.053 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.053 * [taylor]: Taking taylor expansion of +nan.0 in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of +nan.0 in y 0.055 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.055 * [taylor]: Taking taylor expansion of +nan.0 in y 0.055 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.055 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of +nan.0 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.055 * [taylor]: Taking taylor expansion of +nan.0 in y 0.057 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.057 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.057 * [taylor]: Taking taylor expansion of x in y 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 0.063 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of +nan.0 in y 0.067 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.067 * [taylor]: Taking taylor expansion of +nan.0 in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.067 * [taylor]: Taking taylor expansion of +nan.0 in y 0.069 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.069 * [taylor]: Taking taylor expansion of +nan.0 in y 0.069 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.069 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of +nan.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.070 * [taylor]: Taking taylor expansion of +nan.0 in y 0.071 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying using # : (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))))) 0.074 * * [simplify]: iteration 0 : 113 enodes (cost 89 ) 0.076 * * [simplify]: iteration 1 : 275 enodes (cost 81 ) 0.081 * * [simplify]: iteration 2 : 836 enodes (cost 78 ) 0.094 * * [simplify]: iteration 3 : 2361 enodes (cost 73 ) 0.134 * * [simplify]: iteration 4 : 5002 enodes (cost 73 ) 0.135 * [simplify]: Simplified to: (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)) (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 (- (- x y) (pow x 2))) (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0) (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0) 0.135 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.199 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.208 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.218 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.218 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.218 * [taylor]: Taking taylor expansion of (+ x y) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.218 * [taylor]: Taking taylor expansion of (+ x y) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.219 * [taylor]: Taking taylor expansion of (+ x y) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.220 * [taylor]: Taking taylor expansion of 1/2 in y 0.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.223 * [taylor]: Taking taylor expansion of -1/8 in y 0.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of +nan.0 in y 0.236 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.236 * [taylor]: Taking taylor expansion of +nan.0 in y 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of +nan.0 in y 0.238 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.238 * [taylor]: Taking taylor expansion of +nan.0 in y 0.238 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.238 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.238 * [taylor]: Taking taylor expansion of +nan.0 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.239 * [taylor]: Taking taylor expansion of +nan.0 in y 0.240 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.240 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.243 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.245 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of +nan.0 in y 0.248 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.248 * [taylor]: Taking taylor expansion of +nan.0 in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.248 * [taylor]: Taking taylor expansion of +nan.0 in y 0.250 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.251 * [taylor]: Taking taylor expansion of +nan.0 in y 0.251 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of +nan.0 in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.251 * [taylor]: Taking taylor expansion of +nan.0 in y 0.252 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.252 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/4) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in y 0.252 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in y 0.252 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in y 0.252 * [taylor]: Taking taylor expansion of 1/4 in y 0.252 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 0.252 * [taylor]: Taking taylor expansion of (+ x y) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.253 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.253 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.253 * [taylor]: Taking taylor expansion of 1/4 in x 0.253 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.253 * [taylor]: Taking taylor expansion of (+ x y) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.253 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.253 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.253 * [taylor]: Taking taylor expansion of 1/4 in x 0.253 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.253 * [taylor]: Taking taylor expansion of (+ x y) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.253 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.253 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.253 * [taylor]: Taking taylor expansion of 1/4 in y 0.253 * [taylor]: Taking taylor expansion of (log y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.255 * [taylor]: Taking taylor expansion of 1/4 in y 0.255 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.255 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.255 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.255 * [taylor]: Taking taylor expansion of 1/4 in y 0.255 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) in y 0.263 * [taylor]: Taking taylor expansion of -3/32 in y 0.263 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 7)) 1/4) in y 0.264 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 7))))) in y 0.264 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 7)))) in y 0.264 * [taylor]: Taking taylor expansion of 1/4 in y 0.264 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 7))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 7)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 7) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.266 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in y 0.266 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in y 0.266 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in y 0.266 * [taylor]: Taking taylor expansion of 1/4 in y 0.266 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.267 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.267 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.267 * [taylor]: Taking taylor expansion of 1/4 in x 0.267 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.269 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.269 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.269 * [taylor]: Taking taylor expansion of 1/4 in x 0.269 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (pow x -1/4) in y 0.270 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log x))) in y 0.270 * [taylor]: Taking taylor expansion of (* -1/4 (log x)) in y 0.270 * [taylor]: Taking taylor expansion of -1/4 in y 0.270 * [taylor]: Taking taylor expansion of (log x) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 x) 1/4) (/ 1 y))) in y 0.271 * [taylor]: Taking taylor expansion of 1/4 in y 0.271 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.271 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.271 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.271 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.271 * [taylor]: Taking taylor expansion of 1/4 in y 0.271 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (* -3/32 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2)))) in y 0.278 * [taylor]: Taking taylor expansion of -3/32 in y 0.278 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2))) in y 0.278 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.278 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.278 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.278 * [taylor]: Taking taylor expansion of 1/4 in y 0.278 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (* 7/128 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3)))) in y 0.295 * [taylor]: Taking taylor expansion of 7/128 in y 0.295 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3))) in y 0.295 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.295 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.295 * [taylor]: Taking taylor expansion of 1/4 in y 0.295 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.295 * [taylor]: Taking taylor expansion of x 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 0.310 * [approximate]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in y 0.310 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.310 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.314 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.314 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.318 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.323 * [taylor]: Taking taylor expansion of +nan.0 in y 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (- (/ 1 y) +nan.0) (sqrt +nan.0))) in y 0.324 * [taylor]: Taking taylor expansion of +nan.0 in y 0.324 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) +nan.0) (sqrt +nan.0)) in y 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of +nan.0 in y 0.324 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.324 * [taylor]: Taking taylor expansion of +nan.0 in y 0.336 * [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 0.336 * [taylor]: Taking taylor expansion of -1/2 in y 0.336 * [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 0.336 * [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 0.336 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) in y 0.336 * [taylor]: Taking taylor expansion of +nan.0 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.336 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.336 * [taylor]: Taking taylor expansion of +nan.0 in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.340 * [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 0.340 * [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 0.340 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) in y 0.340 * [taylor]: Taking taylor expansion of +nan.0 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) y)) in y 0.340 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) y) in y 0.340 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.340 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.340 * [taylor]: Taking taylor expansion of +nan.0 in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in y 0.348 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in y 0.348 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.348 * [taylor]: Taking taylor expansion of +nan.0 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in y 0.348 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) in y 0.348 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) in y 0.348 * [taylor]: Taking taylor expansion of +nan.0 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt +nan.0) 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.349 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.349 * [taylor]: Taking taylor expansion of +nan.0 in y 0.351 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.351 * [taylor]: Taking taylor expansion of +nan.0 in y 0.351 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.351 * [taylor]: Taking taylor expansion of +nan.0 in y 0.440 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.440 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/4) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in y 0.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in y 0.440 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in y 0.440 * [taylor]: Taking taylor expansion of 1/4 in y 0.440 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 0.440 * [taylor]: Taking taylor expansion of (+ x y) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.440 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.440 * [taylor]: Taking taylor expansion of 1/4 in x 0.440 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.440 * [taylor]: Taking taylor expansion of (+ x y) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.440 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.440 * [taylor]: Taking taylor expansion of 1/4 in x 0.440 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.440 * [taylor]: Taking taylor expansion of (+ x y) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.441 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.441 * [taylor]: Taking taylor expansion of 1/4 in y 0.441 * [taylor]: Taking taylor expansion of (log y) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.442 * [taylor]: Taking taylor expansion of 1/4 in y 0.442 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.442 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.442 * [taylor]: Taking taylor expansion of 1/4 in y 0.442 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) in y 0.447 * [taylor]: Taking taylor expansion of -3/32 in y 0.447 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 7)) 1/4) in y 0.447 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 7))))) in y 0.447 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 7)))) in y 0.447 * [taylor]: Taking taylor expansion of 1/4 in y 0.447 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 7))) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 7)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 7) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.450 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in (x y) around 0 0.450 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in y 0.450 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in y 0.450 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in y 0.450 * [taylor]: Taking taylor expansion of 1/4 in y 0.450 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.451 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.451 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.451 * [taylor]: Taking taylor expansion of 1/4 in x 0.451 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.452 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.452 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.452 * [taylor]: Taking taylor expansion of 1/4 in x 0.452 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (pow x -1/4) in y 0.453 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log x))) in y 0.453 * [taylor]: Taking taylor expansion of (* -1/4 (log x)) in y 0.453 * [taylor]: Taking taylor expansion of -1/4 in y 0.453 * [taylor]: Taking taylor expansion of (log x) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 x) 1/4) (/ 1 y))) in y 0.455 * [taylor]: Taking taylor expansion of 1/4 in y 0.455 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.455 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.455 * [taylor]: Taking taylor expansion of 1/4 in y 0.455 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (* -3/32 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2)))) in y 0.462 * [taylor]: Taking taylor expansion of -3/32 in y 0.462 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2))) in y 0.462 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.462 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.462 * [taylor]: Taking taylor expansion of 1/4 in y 0.462 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (* 7/128 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3)))) in y 0.479 * [taylor]: Taking taylor expansion of 7/128 in y 0.479 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3))) in y 0.479 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.479 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.479 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.479 * [taylor]: Taking taylor expansion of 1/4 in y 0.479 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.493 * [approximate]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in y 0.493 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.493 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.498 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.506 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.511 * [taylor]: Taking taylor expansion of +nan.0 in y 0.512 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (- (/ 1 y) +nan.0) (sqrt +nan.0))) in y 0.512 * [taylor]: Taking taylor expansion of +nan.0 in y 0.512 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) +nan.0) (sqrt +nan.0)) in y 0.512 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of +nan.0 in y 0.512 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.512 * [taylor]: Taking taylor expansion of +nan.0 in y 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of -1/2 in y 0.524 * [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 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) in y 0.524 * [taylor]: Taking taylor expansion of +nan.0 in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.524 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.524 * [taylor]: Taking taylor expansion of +nan.0 in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.527 * [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 0.528 * [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 0.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) in y 0.528 * [taylor]: Taking taylor expansion of +nan.0 in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) y)) in y 0.528 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) y) in y 0.528 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.528 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.528 * [taylor]: Taking taylor expansion of +nan.0 in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in y 0.533 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in y 0.533 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.533 * [taylor]: Taking taylor expansion of +nan.0 in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in y 0.533 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) in y 0.533 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) in y 0.533 * [taylor]: Taking taylor expansion of +nan.0 in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt +nan.0) 2)) in y 0.533 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.533 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.533 * [taylor]: Taking taylor expansion of +nan.0 in y 0.535 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.535 * [taylor]: Taking taylor expansion of +nan.0 in y 0.535 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.535 * [taylor]: Taking taylor expansion of +nan.0 in y 0.626 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.626 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.626 * [taylor]: Taking taylor expansion of (+ x y) in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.626 * [taylor]: Taking taylor expansion of (+ x y) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.627 * [taylor]: Taking taylor expansion of (+ x y) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.628 * [taylor]: Taking taylor expansion of 1/2 in y 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.631 * [taylor]: Taking taylor expansion of -1/8 in y 0.631 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.638 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [taylor]: Taking taylor expansion of +nan.0 in y 0.644 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.644 * [taylor]: Taking taylor expansion of +nan.0 in y 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of +nan.0 in y 0.646 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.646 * [taylor]: Taking taylor expansion of +nan.0 in y 0.646 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.646 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.646 * [taylor]: Taking taylor expansion of +nan.0 in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.646 * [taylor]: Taking taylor expansion of +nan.0 in y 0.648 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.648 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.650 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.652 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.654 * [taylor]: Taking taylor expansion of +nan.0 in y 0.655 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.655 * [taylor]: Taking taylor expansion of +nan.0 in y 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.655 * [taylor]: Taking taylor expansion of +nan.0 in y 0.657 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.657 * [taylor]: Taking taylor expansion of +nan.0 in y 0.657 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.657 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.657 * [taylor]: Taking taylor expansion of +nan.0 in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.658 * [taylor]: Taking taylor expansion of +nan.0 in y 0.659 * * * [progress]: simplifying candidates 0.665 * [simplify]: Simplifying using # : (+ 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)))) (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)))) (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)))) (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))))) 0.672 * * [simplify]: iteration 0 : 329 enodes (cost 840 ) 0.678 * * [simplify]: iteration 1 : 1374 enodes (cost 762 ) 0.706 * * [simplify]: iteration 2 : 5002 enodes (cost 748 ) 0.710 * [simplify]: Simplified to: 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))) (sqrt (+ (pow x 3) (pow y 3))) (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 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[progress]: adding candidates to table 0.940 * [progress]: [Phase 3 of 3] Extracting. 0.940 * * [regime]: Finding splitpoints for: (# #) 0.940 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (sqrt (+ x y)) y x) 0.940 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 0.951 * * * * [regimes]: Trying to branch on (sqrt (+ x y)) from (# #) 0.968 * * * * [regimes]: Trying to branch on y from (# #) 0.979 * * * * [regimes]: Trying to branch on x from (# #) 0.989 * * * [regime]: Found split indices: #