8.164 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.016 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.029 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.044 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [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 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.063 * [taylor]: Taking taylor expansion of 2 in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.063 * [taylor]: Taking taylor expansion of 2 in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.064 * [taylor]: Taking taylor expansion of 2 in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.064 * [taylor]: Taking taylor expansion of 2 in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.074 * [taylor]: Taking taylor expansion of 2 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.074 * [taylor]: Taking taylor expansion of 2 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of 2 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 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 (* 2 (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of 2 in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 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 (* 2 (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of 2 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)) (* 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 0.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.084 * [taylor]: Taking taylor expansion of 2 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [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 (- (* 2 (/ 1 y))) in y 0.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of 2 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (* (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) (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.096 * * [simplify]: iteration 0 : 136 enodes (cost 138 ) 0.099 * * [simplify]: iteration 1 : 511 enodes (cost 127 ) 0.107 * * [simplify]: iteration 2 : 1640 enodes (cost 121 ) 0.139 * * [simplify]: iteration 3 : 5001 enodes (cost 120 ) 0.140 * [simplify]: Simplified to: (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)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (exp (+ (+ (* 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (pow x 2) (+ (+ (* x x) y) y)) (pow x 2) (+ (+ (* x x) y) y) (+ y y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) 0.140 * * * [progress]: adding candidates to table 0.187 * * [progress]: iteration 2 / 4 0.187 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.194 * * * [progress]: generating rewritten candidates 0.194 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.203 * * * [progress]: generating series expansions 0.203 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.203 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.203 * [taylor]: Taking taylor expansion of 2 in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.204 * [taylor]: Taking taylor expansion of 2 in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.204 * [taylor]: Taking taylor expansion of 2 in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.204 * [taylor]: Taking taylor expansion of 2 in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.209 * [taylor]: Taking taylor expansion of 2 in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.210 * [taylor]: Taking taylor expansion of 2 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.211 * [taylor]: Taking taylor expansion of 2 in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.213 * [taylor]: Taking taylor expansion of 2 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.219 * [taylor]: Taking taylor expansion of 2 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.220 * [taylor]: Taking taylor expansion of 2 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.220 * [taylor]: Taking taylor expansion of 2 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of 1 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of 2 in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * * * [progress]: simplifying candidates 0.229 * [simplify]: Simplifying using # : (* (exp (* x x)) (* (exp y) (exp 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)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.232 * * [simplify]: iteration 0 : 103 enodes (cost 83 ) 0.235 * * [simplify]: iteration 1 : 468 enodes (cost 74 ) 0.244 * * [simplify]: iteration 2 : 1756 enodes (cost 74 ) 0.283 * * [simplify]: iteration 3 : 5002 enodes (cost 74 ) 0.283 * [simplify]: Simplified to: (exp (+ (* 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)) (- (* 4 (* y y)) (- (* (* x x) (+ y y)) (pow x 4))) (+ (- (* (+ y y) (+ y y))) (pow x 4)) (- (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 0.284 * * * [progress]: adding candidates to table 0.309 * * [progress]: iteration 3 / 4 0.309 * * * [progress]: picking best candidate 0.310 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.386 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.395 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.422 * * * [progress]: generating series expansions 0.423 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.423 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.423 * [taylor]: Taking taylor expansion of 2 in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.423 * [taylor]: Taking taylor expansion of 2 in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.423 * [taylor]: Taking taylor expansion of 2 in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.423 * [taylor]: Taking taylor expansion of 2 in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.431 * [taylor]: Taking taylor expansion of 2 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.432 * [taylor]: Taking taylor expansion of 2 in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.433 * [taylor]: Taking taylor expansion of 2 in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of 1 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.435 * [taylor]: Taking taylor expansion of 2 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 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 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.441 * [taylor]: Taking taylor expansion of 2 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.442 * [taylor]: Taking taylor expansion of 2 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 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 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.443 * [taylor]: Taking taylor expansion of 2 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.445 * [taylor]: Taking taylor expansion of 2 in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.451 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.451 * [taylor]: Taking taylor expansion of 2 in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.452 * [taylor]: Taking taylor expansion of 2 in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.452 * [taylor]: Taking taylor expansion of 2 in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.452 * [taylor]: Taking taylor expansion of 2 in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 1 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.457 * [taylor]: Taking taylor expansion of 2 in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.458 * [taylor]: Taking taylor expansion of 2 in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.459 * [taylor]: Taking taylor expansion of 2 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of 1 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.461 * [taylor]: Taking taylor expansion of 2 in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.467 * [taylor]: Taking taylor expansion of 2 in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.468 * [taylor]: Taking taylor expansion of 2 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.468 * [taylor]: Taking taylor expansion of 2 in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of 1 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.471 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of 2 in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.477 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.477 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.477 * [taylor]: Taking taylor expansion of 2 in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.477 * [taylor]: Taking taylor expansion of 2 in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.478 * [taylor]: Taking taylor expansion of 2 in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.478 * [taylor]: Taking taylor expansion of 2 in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [taylor]: Taking taylor expansion of 1 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.483 * [taylor]: Taking taylor expansion of 2 in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.484 * [taylor]: Taking taylor expansion of 2 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.484 * [taylor]: Taking taylor expansion of 2 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of 1 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.487 * [taylor]: Taking taylor expansion of 2 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.492 * [taylor]: Taking taylor expansion of 2 in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.493 * [taylor]: Taking taylor expansion of 2 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.494 * [taylor]: Taking taylor expansion of 2 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.496 * [taylor]: Taking taylor expansion of 2 in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.503 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.503 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 y))) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 y))) in y 0.503 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.503 * [taylor]: Taking taylor expansion of 2 in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 y))) in x 0.504 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.504 * [taylor]: Taking taylor expansion of 2 in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 y))) in x 0.505 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.505 * [taylor]: Taking taylor expansion of 2 in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt y)) in y 0.506 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.506 * [taylor]: Taking taylor expansion of 2 in y 0.506 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y)))) in y 0.517 * [taylor]: Taking taylor expansion of 1/2 in y 0.517 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 y))) in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in y 0.517 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.517 * [taylor]: Taking taylor expansion of 2 in y 0.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.535 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.535 * [taylor]: Taking taylor expansion of 2 in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.538 * [taylor]: Taking taylor expansion of 2 in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.540 * [taylor]: Taking taylor expansion of 2 in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of 1 in y 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of -1/2 in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.551 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in (x y) around 0 0.551 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 0.551 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.552 * [taylor]: Taking taylor expansion of 2 in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.555 * [taylor]: Taking taylor expansion of 2 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.557 * [taylor]: Taking taylor expansion of 2 in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of 1 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.561 * [taylor]: Taking taylor expansion of -1 in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of -1/2 in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.569 * * * [progress]: simplifying candidates 0.570 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (* (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y)))) (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (+ y y)))) (log (sqrt (+ (* x x) (+ y y))))) (log (* (sqrt (+ (* x x) (+ y y))) 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(* x x) y) (* (exp (* x x)) (* (exp y) (exp 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)) (+ (* x x) y) (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)))) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2) y)) (- (* +nan.0 (* (sqrt 2) (pow y 2)))))))) (+ x (/ y x)) (- (+ x (/ y x))) 0.576 * * [simplify]: iteration 0 : 245 enodes (cost 729 ) 0.581 * * [simplify]: iteration 1 : 1080 enodes (cost 657 ) 0.606 * * [simplify]: iteration 2 : 5001 enodes (cost 637 ) 0.610 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (* x x) (+ y y))) 4) (+ (* x x) (+ y y)) (pow (sqrt (+ (* x x) (+ y y))) 4) 2 (log (+ (* x x) (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (pow 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(- y (pow y 2))) (- (* +nan.0 (/ (pow x 2) (sqrt 2))))) (+ x (/ y x)) (- (+ x (/ y x))) 0.610 * * * [progress]: adding candidates to table 0.774 * [progress]: [Phase 3 of 3] Extracting. 0.774 * * [regime]: Finding splitpoints for: (# #) 0.775 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 0.775 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.787 * * * * [regimes]: Trying to branch on y from (# #) 0.797 * * * * [regimes]: Trying to branch on x from (# #) 0.807 * * * [regime]: Found split indices: #