21.284 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.019 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.031 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.039 * [taylor]: Taking taylor expansion of 1/2 in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of 1/2 in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of 1/2 in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.075 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.075 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.101 * * * [progress]: simplifying candidates 0.101 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.104 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.108 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.115 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.150 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.152 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.152 * * * [progress]: adding candidates to table 0.221 * * [progress]: iteration 2 / 4 0.221 * * * [progress]: picking best candidate 0.226 * * * * [pick]: Picked # 0.226 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.243 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.246 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.251 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.257 * * * [progress]: generating series expansions 0.257 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.260 * [taylor]: Taking taylor expansion of 1/2 in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of 1/2 in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [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 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of 1/2 in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.291 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.291 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.291 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.294 * [taylor]: Taking taylor expansion of 1/2 in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of 1 in y 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of 1/2 in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of 1/2 in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.328 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in y 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of (* 3/2 y) in y 0.332 * [taylor]: Taking taylor expansion of 3/2 in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 y)) in y 0.338 * [taylor]: Taking taylor expansion of 3/8 in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of 3/2 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow y 4))) in y 0.364 * [taylor]: Taking taylor expansion of 3/8 in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of 3/2 in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow y 4))) in y 0.396 * [taylor]: Taking taylor expansion of 3/8 in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.417 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.418 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 1 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.453 * * * [progress]: simplifying candidates 0.454 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (exp (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt 1) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3)) (cbrt (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3)) (cbrt (pow (sqrt (- (* x x) (* y y))) 3)) (* (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (* (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (log (sqrt (+ (* x x) (* y y)))) 3) (* (log (sqrt (+ (* x x) (* y y)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (+ (* x x) (* y y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) (* y y))) (sqrt 3)) (pow (sqrt (+ (* x x) (* y y))) 1) (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow 1 3) (pow (sqrt (+ (* x x) (* y y))) 3) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (log (pow (sqrt (+ (* x x) (* y y))) 3)) (exp (pow (sqrt (+ (* x x) (* y y))) 3)) (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (* (* (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow 1 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (/ 3 2) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) (/ 3 2)) (pow (sqrt (+ (* x x) (* y y))) (/ 3 2)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (* 3/2 (* (pow x 2) y)) (pow y 3)) (+ (* 3/2 (* x (pow y 2))) (pow x 3)) (- (+ (* 3/2 (* x (pow y 2))) (pow x 3))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.460 * * [simplify]: iteration 0 : 283 enodes (cost 643 ) 0.466 * * [simplify]: iteration 1 : 1236 enodes (cost 610 ) 0.492 * * [simplify]: iteration 2 : 5001 enodes (cost 594 ) 0.496 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (log (+ (* x x) (* y y))) 3/2) (* (log (+ (* x x) (* y y))) 3/2) 3/2 3 3/2 (pow (sqrt (+ (* x x) (* y y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) (* y y))) (sqrt 3)) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (fabs (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (+ (* x x) (* y y)) (* (log (+ (* x x) (* y y))) 3/2) (exp (pow (sqrt (+ (* x x) (* y y))) 3)) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (pow (sqrt (+ (* x x) (* y y))) 3) 3) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (fabs (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (+ (* x x) (* y y)) 3/2 (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (* 3/2 (* (pow x 2) y)) (pow y 3)) (+ (* 3/2 (* x (pow y 2))) (pow x 3)) (- (+ (* 3/2 (* x (pow y 2))) (pow x 3))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.497 * * * [progress]: adding candidates to table 0.661 * * [progress]: iteration 3 / 4 0.661 * * * [progress]: picking best candidate 0.666 * * * * [pick]: Picked # 0.666 * * * [progress]: localizing error 0.666 * * * [progress]: generating rewritten candidates 0.666 * * * [progress]: generating series expansions 0.666 * * * [progress]: simplifying candidates 0.666 * [simplify]: Simplifying using # : 0.669 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.669 * [simplify]: Simplified to: 0.669 * * * [progress]: adding candidates to table 0.669 * * [progress]: iteration 4 / 4 0.669 * * * [progress]: picking best candidate 0.672 * * * * [pick]: Picked # 0.672 * * * [progress]: localizing error 0.674 * * * [progress]: generating rewritten candidates 0.674 * * * [progress]: generating series expansions 0.674 * * * [progress]: simplifying candidates 0.674 * [simplify]: Simplifying using # : 0.677 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.677 * [simplify]: Simplified to: 0.677 * * * [progress]: adding candidates to table 0.677 * [progress]: [Phase 3 of 3] Extracting. 0.677 * * [regime]: Finding splitpoints for: (# # # # # #) 0.677 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.677 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 0.700 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 0.719 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 0.741 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.756 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 0.779 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.790 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 0.817 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 0.831 * * * * [regimes]: Trying to branch on y from (# # # # # #) 0.867 * * * * [regimes]: Trying to branch on x from (# # # # # #) 0.907 * * * [regime]: Found split indices: #