27.376 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.031 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.043 * [taylor]: Taking taylor expansion of 1/2 in y 0.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.058 * [taylor]: Taking taylor expansion of 1/2 in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of -1/8 in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.065 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.069 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.073 * [taylor]: Taking taylor expansion of -1/2 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of -1/8 in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * * * [progress]: simplifying candidates 0.098 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow y 2)) (neg (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.101 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.104 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.112 * * [simplify]: iteration 2 : 1515 enodes (cost 137 ) 0.143 * * [simplify]: iteration 3 : 5002 enodes (cost 135 ) 0.144 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* +nan.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.144 * * * [progress]: adding candidates to table 0.201 * * [progress]: iteration 2 / 4 0.201 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.212 * * * [progress]: generating rewritten candidates 0.212 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.216 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.220 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.248 * * * [progress]: generating series expansions 0.248 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.248 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.249 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.250 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.252 * [taylor]: Taking taylor expansion of 1/2 in y 0.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.266 * [taylor]: Taking taylor expansion of 1/2 in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of -1/8 in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.272 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.274 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.280 * [taylor]: Taking taylor expansion of -1/2 in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of -1/8 in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.287 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.287 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.290 * [taylor]: Taking taylor expansion of 1/2 in y 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.295 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of 1 in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.304 * [taylor]: Taking taylor expansion of 1/2 in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of -1/8 in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.310 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.320 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of 1 in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.325 * [taylor]: Taking taylor expansion of -1/2 in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of -1/8 in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.332 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.335 * [taylor]: Taking taylor expansion of 1/2 in y 0.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.340 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.348 * [taylor]: Taking taylor expansion of 1/2 in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of -1/8 in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.355 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of 1 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.364 * [taylor]: Taking taylor expansion of -1/2 in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of -1/8 in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.371 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.371 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.371 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.371 * [taylor]: Taking taylor expansion of 1/4 in y 0.371 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.371 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.371 * [taylor]: Taking taylor expansion of 1/4 in x 0.371 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.372 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.372 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.372 * [taylor]: Taking taylor expansion of 1/4 in x 0.372 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.372 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.372 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.372 * [taylor]: Taking taylor expansion of 1/4 in y 0.372 * [taylor]: Taking taylor expansion of (log y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.378 * [taylor]: Taking taylor expansion of 1/4 in y 0.378 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.378 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.378 * [taylor]: Taking taylor expansion of 1/4 in y 0.378 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.395 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.395 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.395 * [taylor]: Taking taylor expansion of 1/4 in y 0.395 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.396 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.396 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.396 * [taylor]: Taking taylor expansion of 1/4 in x 0.396 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.398 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.398 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.398 * [taylor]: Taking taylor expansion of 1/4 in x 0.398 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.399 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.399 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.399 * [taylor]: Taking taylor expansion of -1/2 in y 0.399 * [taylor]: Taking taylor expansion of (log x) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.414 * [taylor]: Taking taylor expansion of 1/4 in y 0.414 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.423 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.423 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.424 * [taylor]: Taking taylor expansion of 1/4 in y 0.424 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.426 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.426 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.426 * [taylor]: Taking taylor expansion of 1/4 in x 0.426 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) 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 y) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.428 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.428 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.428 * [taylor]: Taking taylor expansion of 1/4 in x 0.428 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.429 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.429 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.429 * [taylor]: Taking taylor expansion of -1/2 in y 0.429 * [taylor]: Taking taylor expansion of (log x) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.437 * [taylor]: Taking taylor expansion of -1/4 in y 0.437 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (+ 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 x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y))))) (log (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (exp (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (+ (* 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x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.495 * * * [progress]: adding candidates to table 0.704 * * [progress]: iteration 3 / 4 0.705 * * * [progress]: picking best candidate 0.707 * * * * [pick]: Picked # 0.707 * * * [progress]: localizing error 0.711 * * * [progress]: generating rewritten candidates 0.711 * * * [progress]: generating series expansions 0.711 * * * [progress]: simplifying candidates 0.712 * [simplify]: Simplifying using # : 0.714 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.714 * [simplify]: Simplified to: 0.714 * * * [progress]: adding candidates to table 0.714 * * [progress]: iteration 4 / 4 0.714 * * * [progress]: picking best candidate 0.715 * * * * [pick]: Picked # 0.716 * * * [progress]: localizing error 0.720 * * * [progress]: generating rewritten candidates 0.720 * * * [progress]: generating series expansions 0.720 * * * [progress]: simplifying candidates 0.720 * [simplify]: Simplifying using # : 0.727 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.727 * [simplify]: Simplified to: 0.727 * * * [progress]: adding candidates to table 0.728 * [progress]: [Phase 3 of 3] Extracting. 0.728 * * [regime]: Finding splitpoints for: (# # # #) 0.728 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.728 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.745 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.755 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 0.777 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 0.787 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 0.812 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 0.825 * * * * [regimes]: Trying to branch on y from (# # # #) 0.878 * * * * [regimes]: Trying to branch on x from (# # # #) 0.905 * * * [regime]: Found split indices: #