9.198 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.026 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.028 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.030 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.032 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.056 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 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 0.067 * [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 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.075 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.075 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.075 * [taylor]: Taking taylor expansion of 2 in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.075 * [taylor]: Taking taylor expansion of 2 in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.075 * [taylor]: Taking taylor expansion of 2 in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.075 * [taylor]: Taking taylor expansion of 2 in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of 2 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.081 * [taylor]: Taking taylor expansion of 2 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of 2 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of 2 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 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 0.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.090 * [taylor]: Taking taylor expansion of 2 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 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 (* 2 (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of 2 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)) (* 2 (/ 1 y))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.091 * [taylor]: Taking taylor expansion of 2 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 (- (* 2 (/ 1 y))) in y 0.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of 2 in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * * * [progress]: simplifying candidates 0.100 * [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)) 0.103 * * [simplify]: iteration 0 : 136 enodes (cost 138 ) 0.106 * * [simplify]: iteration 1 : 511 enodes (cost 127 ) 0.114 * * [simplify]: iteration 2 : 1640 enodes (cost 121 ) 0.147 * * [simplify]: iteration 3 : 5001 enodes (cost 120 ) 0.148 * [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) 0.149 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.204 * * * [progress]: generating rewritten candidates 0.204 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.211 * * * [progress]: generating series expansions 0.211 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.212 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.212 * [taylor]: Taking taylor expansion of 2 in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.212 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.212 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.212 * [taylor]: Taking taylor expansion of 2 in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 1 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.221 * [taylor]: Taking taylor expansion of 2 in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.221 * [taylor]: Taking taylor expansion of 2 in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.222 * [taylor]: Taking taylor expansion of 2 in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.225 * [taylor]: Taking taylor expansion of 2 in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.230 * [taylor]: Taking taylor expansion of 2 in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.231 * [taylor]: Taking taylor expansion of 2 in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.231 * [taylor]: Taking taylor expansion of 2 in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of 1 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.234 * [taylor]: Taking taylor expansion of 2 in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * * * [progress]: simplifying candidates 0.240 * [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)) 0.243 * * [simplify]: iteration 0 : 103 enodes (cost 83 ) 0.246 * * [simplify]: iteration 1 : 468 enodes (cost 74 ) 0.255 * * [simplify]: iteration 2 : 1756 enodes (cost 74 ) 0.295 * * [simplify]: iteration 3 : 5002 enodes (cost 74 ) 0.296 * [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)) 0.296 * * * [progress]: adding candidates to table 0.318 * * [progress]: iteration 3 / 4 0.318 * * * [progress]: picking best candidate 0.320 * * * * [pick]: Picked # 0.320 * * * [progress]: localizing error 0.330 * * * [progress]: generating rewritten candidates 0.330 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.345 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.368 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.374 * * * [progress]: generating series expansions 0.374 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.375 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (y x) around 0 0.375 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.375 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.375 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.376 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of 1 in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.384 * [taylor]: Taking taylor expansion of 0 in x 0.388 * [taylor]: Taking taylor expansion of 0 in x 0.389 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.389 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.394 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [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 1 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 0.402 * [taylor]: Taking taylor expansion of 0 in x 0.407 * [taylor]: Taking taylor expansion of 0 in x 0.413 * [taylor]: Taking taylor expansion of 0 in x 0.421 * [taylor]: Taking taylor expansion of 0 in x 0.422 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.422 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.426 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of 0 in x 0.443 * [taylor]: Taking taylor expansion of 0 in x 0.449 * [taylor]: Taking taylor expansion of 0 in x 0.457 * [taylor]: Taking taylor expansion of 0 in x 0.457 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.458 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (y x) around 0 0.458 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of 0 in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.462 * [taylor]: Taking taylor expansion of 0 in x 0.464 * [taylor]: Taking taylor expansion of 0 in x 0.465 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.466 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.466 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.469 * [taylor]: Taking taylor expansion of 0 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of 0 in x 0.476 * [taylor]: Taking taylor expansion of 0 in x 0.481 * [taylor]: Taking taylor expansion of 0 in x 0.486 * [taylor]: Taking taylor expansion of 0 in x 0.488 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.488 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.489 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of -1 in x 0.492 * [taylor]: Taking taylor expansion of 0 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of 0 in x 0.500 * [taylor]: Taking taylor expansion of 0 in x 0.504 * [taylor]: Taking taylor expansion of 0 in x 0.510 * [taylor]: Taking taylor expansion of 0 in x 0.512 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.512 * [approximate]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in (y x) around 0 0.512 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in x 0.512 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in x 0.512 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in x 0.512 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in y 0.518 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in y 0.518 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in y 0.518 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.518 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in y 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (- (+ (/ (pow x 4) (- (pow x 2) y)) y) (/ (pow y 2) (- (pow x 2) y))) in y 0.519 * [taylor]: Taking taylor expansion of (+ (/ (pow x 4) (- (pow x 2) y)) y) in y 0.519 * [taylor]: Taking taylor expansion of (/ (pow x 4) (- (pow x 2) y)) in y 0.519 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (/ (pow y 2) (- (pow x 2) y)) in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 2 in x 0.524 * [taylor]: Taking taylor expansion of 0 in x 0.528 * [taylor]: Taking taylor expansion of 0 in x 0.534 * [taylor]: Taking taylor expansion of 0 in x 0.534 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in (y x) around 0 0.534 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in x 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.534 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in x 0.536 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in x 0.536 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.538 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 0.539 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.541 * [taylor]: Taking taylor expansion of (* (pow x 4) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.541 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 0.542 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of 2 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of 0 in x 0.558 * [taylor]: Taking taylor expansion of 0 in x 0.566 * [taylor]: Taking taylor expansion of 0 in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.577 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in (y x) around 0 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.578 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in x 0.579 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in x 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.581 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.581 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 0.582 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))))) in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.583 * [taylor]: Taking taylor expansion of (* (pow x 4) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.583 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)))) in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2))) in y 0.585 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 y)) (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of -2 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.611 * [taylor]: Taking taylor expansion of 0 in x 0.621 * [taylor]: Taking taylor expansion of 0 in x 0.621 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.621 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.621 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (- y) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of 1 in y 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of 1 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.633 * [taylor]: Taking taylor expansion of x in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of 1 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.641 * * * [progress]: simplifying candidates 0.642 * [simplify]: Simplifying using # : (- (log (+ (- (* y y)) (pow x 4))) (log (- (* x x) y))) (log (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (exp (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (/ (* (* (+ (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4))) (+ (- (* y y)) (pow x 4))) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (* (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (- (+ (- (* y y)) (pow x 4))) (- (- (* x x) y)) (/ 0 (- (* x x) y)) (/ (- (* y y) (pow x 4)) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (sqrt (- (* x x) y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) 1) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (+ x (sqrt y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) 1) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (sqrt (+ (- (* y y)) (pow x 4))) (+ x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (- (* y y)) (pow x 4)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ 1 1) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (+ (- (* y y)) (pow x 4)) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (- (* y y)) (pow x 4)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ 1 1) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (+ (- (* y y)) (pow x 4)) (- x (sqrt y))) (/ 1 (- (* x x) y)) (/ (- (* x x) y) (+ (- (* y y)) (pow x 4))) (/ (+ (- (* y y)) (pow x 4)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) 1) (/ (+ (- (* y y)) (pow x 4)) (+ x (sqrt y))) (/ (- (* x x) y) (cbrt (+ (- (* y y)) (pow x 4)))) (/ (- (* x x) y) (sqrt (+ (- (* y y)) (pow x 4)))) (/ (- (* x x) y) (+ (- (* y y)) (pow x 4))) (/ (- (* x x) y) (+ (- (* y y)) (pow x 4))) (/ (+ (- (* y y)) (pow x 4)) (- (pow (* x x) 3) (pow y 3))) (/ (+ (- (* y y)) (pow x 4)) (- (* (* x x) (* x x)) (* y y))) (* (- (* x x) y) (+ (* (- (* y y)) (- (* y y))) (- (* (pow x 4) (pow x 4)) (* (- (* y y)) (pow x 4))))) (* (- (* x x) y) (- (- (* y y)) (pow x 4))) (* (/ 1 (exp (* y y))) (exp (pow x 4))) (* (exp (- (* y y))) (exp (pow x 4))) (log (+ (- (* y y)) (pow x 4))) (exp (+ (- (* y y)) (pow x 4))) (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (cbrt (+ (- (* y y)) (pow x 4))) (* (* (+ (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4))) (+ (- (* y y)) (pow x 4))) (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (+ (- (* y y)) (pow x 4))) (+ (pow (- (* y y)) 3) (pow (pow x 4) 3)) (+ (* (- (* y y)) (- (* y y))) (- (* (pow x 4) (pow x 4)) (* (- (* y y)) (pow x 4)))) (- (* (- (* y y)) (- (* y y))) (* (pow x 4) (pow x 4))) (- (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4)) (- (* y y) (pow x 4)) (* (exp (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (exp y)) (log (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (exp (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (* (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y))) (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (* (* (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y) (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (sqrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (sqrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (+ (pow (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) 3) (pow y 3)) (+ (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (- (* y y) (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y))) (- (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (* y y)) (- (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y) (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y) (- (/ (- (* y y) (pow x 4)) (- (* x x) y)) 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))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.648 * * [simplify]: iteration 0 : 327 enodes (cost 821 ) 0.655 * * [simplify]: iteration 1 : 1478 enodes (cost 742 ) 0.683 * * [simplify]: iteration 2 : 5001 enodes (cost 713 ) 0.687 * [simplify]: Simplified to: (log (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (log (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (exp (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (/ (pow (+ (pow x 2) y) 3) 1) (* (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (/ (pow (+ (pow x 2) y) 3) 1) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (- (pow y 2) (pow x 4)) (- (- (* x x) y)) 0 (/ (- (+ (pow x 2) y)) 1) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (sqrt (- (* x x) y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (+ x (sqrt y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (sqrt (+ (- (* y y)) (pow x 4))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (sqrt (+ (- (* y y)) (pow x 4))) (+ x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) 1 (/ (+ (pow x 2) y) 1) (/ 1 (+ x (sqrt y))) (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) 1 (/ (+ (pow x 2) y) 1) (/ 1 (+ x (sqrt y))) (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))) (/ 1 (- (* x x) y)) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (- (pow x 4) (pow y 2)) (/ (- (pow x 4) (pow y 2)) (+ x (sqrt y))) (/ (- (* x x) y) (cbrt (+ (- (* y y)) (pow x 4)))) (/ (- (* x x) y) (sqrt (+ (- (* y y)) (pow x 4)))) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (- (pow x 4) (pow y 2)) (- (pow (* x x) 3) (pow y 3))) 1 (* (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4))) (- (pow x 2) y)) (* (- (* x x) y) (- (- (* y y)) (pow x 4))) (exp (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (log (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (cbrt (+ (- (* y y)) (pow x 4))) (pow (- (pow x 4) (pow y 2)) 3) (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (+ (- (* y y)) (pow x 4))) (- (pow (pow x 4) 3) (pow (pow y 2) 3)) (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4))) (+ (- (pow x 8)) (pow y 4)) (- (- (* y y)) (pow x 4)) (- (pow x 4) (pow y 2)) (- (pow y 2) (pow x 4)) (exp (+ y (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)))) (log (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (exp (+ y (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)))) (* (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y))) (cbrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (pow (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y) 3) (sqrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (sqrt (+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)) (+ (pow (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) 3) (pow y 3)) (+ (* y (- y (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (- (/ (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (- (pow x 4) (pow y 2))) (- (pow x 2) y)) (pow y 2)) (- (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y) (+ y (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) (- (/ (- (* y y) (pow x 4)) (- (* x x) y)) y) (exp (- (* x x) y)) (log (- (pow x 2) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) 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)) (* -1 y) (- (pow x 4) (pow y 2)) (+ (pow x 2) y) (+ x (sqrt y)) (- x (sqrt y)) (* -1 y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.688 * * * [progress]: adding candidates to table 0.893 * [progress]: [Phase 3 of 3] Extracting. 0.893 * * [regime]: Finding splitpoints for: (# # #) 0.894 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 0.894 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.905 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# # #) 1.098 * * * * [regimes]: Trying to branch on y from (# # #) 1.111 * * * * [regimes]: Trying to branch on x from (# # #) 1.123 * * * [regime]: Found split indices: #