20.371 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* 2.0 (+ (* x x) (* x y))) 0.020 * * [simplify]: iteration 0 : 19 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 41 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 72 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 81 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 81 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (* (fma x x (* x y)) 2.0) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.040 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.047 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) 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 (* x y) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (* x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (* x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.052 * [taylor]: Taking taylor expansion of (* x y) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.053 * [taylor]: Taking taylor expansion of (* x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.064 * [taylor]: Taking taylor expansion of (* x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (* x y)) in x 0.065 * [taylor]: Taking taylor expansion of (* x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.066 * [taylor]: Taking taylor expansion of (* x y) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.075 * [approximate]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in y 0.075 * [taylor]: Taking taylor expansion of 2.0 in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x 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 (* x y) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 in x 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 in x 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 2.0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.089 * [taylor]: Taking taylor expansion of 2.0 in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.089 * [taylor]: Taking taylor expansion of (* x y) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.090 * [taylor]: Taking taylor expansion of (* x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.090 * [taylor]: Taking taylor expansion of 2.0 in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.091 * [taylor]: Taking taylor expansion of (* x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of 2.0 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 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.104 * [taylor]: Taking taylor expansion of 2.0 in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.104 * [taylor]: Taking taylor expansion of (* x y) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.105 * [taylor]: Taking taylor expansion of 2.0 in x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.105 * [taylor]: Taking taylor expansion of (* x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.106 * [taylor]: Taking taylor expansion of 2.0 in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of 2.0 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * * * [progress]: simplifying candidates 0.120 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (* x y))) (log1p (+ (* x x) (* x y))) (* (exp (* x x)) (exp (* x y))) (log (+ (* x x) (* x y))) (exp (+ (* x x) (* x y))) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (- (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (- (* x x) (* x y)) (+ x y) (expm1 (* 2.0 (+ (* x x) (* x y)))) (log1p (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y))) (+ (log 2.0) (log (+ (* x x) (* x y)))) (log (* 2.0 (+ (* x x) (* x y)))) (exp (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y)))) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* (* x x) 2.0) (* (* x y) 2.0) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (+ (* x x) (* x y))) (* (sqrt 2.0) (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.124 * * [simplify]: iteration 0 : 199 enodes (cost 227 ) 0.129 * * [simplify]: iteration 1 : 1011 enodes (cost 198 ) 0.155 * * [simplify]: iteration 2 : 5001 enodes (cost 191 ) 0.156 * [simplify]: Simplified to: (expm1 (+ (* x x) (* x y))) (log1p (+ (* x x) (* x y))) (pow (exp x) (+ x y)) (log (+ (* x x) (* x y))) (pow (exp x) (+ x y)) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (pow (fma x x (* x y)) 3) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (fma (pow y 3) (pow x 3) (pow x 6)) (fma y (* x (* x (- y x))) (pow x 4)) (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)) (+ x y) (expm1 (* 2.0 (+ (* x x) (* x y)))) (log1p (* 2.0 (+ (* x x) (* x y)))) (* (fma x x (* x y)) 2.0) (log (* (fma x x (* x y)) 2.0)) (log (* (fma x x (* x y)) 2.0)) (pow (exp 2.0) (fma x x (* x y))) (pow (* (fma x x (* x y)) 2.0) 3) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (pow (* (fma x x (* x y)) 2.0) 3) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* 2.0 (* x x)) (* 2.0 (* x y)) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) 2.0 (* 2.0 x) (* (fma x x (* x y)) (cbrt 2.0)) (* (fma x x (* x y)) (sqrt 2.0)) (* (fma x x (* x y)) 2.0) (fma 2.0 (pow x 6) (* (pow (* x y) 3) 2.0)) (* (* (fma x x (* x y)) 2.0) (* x (- x y))) (fma x x (* x y)) (fma x x (* x y)) (fma x x (* x y)) (* (fma x x (* x y)) 2.0) (* (fma x x (* x y)) 2.0) (* (fma x x (* x y)) 2.0) 0.157 * * * [progress]: adding candidates to table 0.224 * * [progress]: iteration 2 / 4 0.224 * * * [progress]: picking best candidate 0.227 * * * * [pick]: Picked # 0.227 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.231 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.239 * * * [progress]: generating series expansions 0.239 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.239 * [approximate]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in y 0.239 * [taylor]: Taking taylor expansion of 2.0 in y 0.239 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (+ x y) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.240 * [taylor]: Taking taylor expansion of 2.0 in x 0.240 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ x y) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.240 * [taylor]: Taking taylor expansion of 2.0 in x 0.240 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ x y) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.241 * [taylor]: Taking taylor expansion of 2.0 in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 2.0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.248 * [taylor]: Taking taylor expansion of 2.0 in y 0.248 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.249 * [taylor]: Taking taylor expansion of 2.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.250 * [taylor]: Taking taylor expansion of 2.0 in x 0.250 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of 2.0 in y 0.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.255 * [taylor]: Taking taylor expansion of 2.0 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.266 * [taylor]: Taking taylor expansion of 2.0 in y 0.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.266 * [taylor]: Taking taylor expansion of 2.0 in x 0.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.267 * [taylor]: Taking taylor expansion of 2.0 in x 0.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of 2.0 in y 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.270 * [taylor]: Taking taylor expansion of 2.0 in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * * * [progress]: simplifying candidates 0.281 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 x) (+ x y))) (log1p (* (* 2.0 x) (+ x y))) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (+ (+ (log 2.0) (log x)) (log (+ x y))) (+ (log (* 2.0 x)) (log (+ x y))) (log (* (* 2.0 x) (+ x y))) (exp (* (* 2.0 x) (+ x y))) (* (* (* (* 2.0 2.0) 2.0) (* (* x x) x)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y)))) (cbrt (* (* 2.0 x) (+ x y))) (* (* (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y))) (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (* (* 2.0 x) x) (* (* 2.0 x) y) (* x (* 2.0 x)) (* y (* 2.0 x)) (* (* 2.0 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* 2.0 x) (sqrt (+ x y))) (* (* 2.0 x) 1) (* (* 2.0 x) 1) (* x (+ x y)) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.284 * * [simplify]: iteration 0 : 170 enodes (cost 125 ) 0.289 * * [simplify]: iteration 1 : 944 enodes (cost 105 ) 0.312 * * [simplify]: iteration 2 : 5001 enodes (cost 105 ) 0.313 * [simplify]: Simplified to: (expm1 (* (* 2.0 x) (+ x y))) (log1p (* (* 2.0 x) (+ x y))) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (log (* (* 2.0 x) (+ x y))) (log (* (* 2.0 x) (+ x y))) (log (* (* 2.0 x) (+ x y))) (exp (* (* 2.0 x) (+ x y))) (pow (* (* 2.0 x) (+ x y)) 3) (pow (* (* 2.0 x) (+ x y)) 3) (* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y)))) (cbrt (* (* 2.0 x) (+ x y))) (pow (* (* 2.0 x) (+ x y)) 3) (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (* (* 2.0 x) x) (* 2.0 (* x y)) (* (* 2.0 x) x) (* 2.0 (* x y)) (* (* 2.0 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* 2.0 x) (sqrt (+ x y))) (* 2.0 x) (* 2.0 x) (* x (+ x y)) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y y))) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) 0.314 * * * [progress]: adding candidates to table 0.339 * * [progress]: iteration 3 / 4 0.339 * * * [progress]: picking best candidate 0.340 * * * * [pick]: Picked # 0.340 * * * [progress]: localizing error 0.351 * * * [progress]: generating rewritten candidates 0.351 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.376 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.383 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.404 * [approximate]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in y 0.404 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (- x y) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in x 0.405 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (- x y) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in x 0.406 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (- x y) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of 1 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in y 0.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.417 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.418 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in x 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in x 0.421 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [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 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 1 in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in (x y) around 0 0.446 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in y 0.446 * [taylor]: Taking taylor expansion of -1 in y 0.446 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in y 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in y 0.447 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.448 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in x 0.448 * [taylor]: Taking taylor expansion of -1 in x 0.448 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in x 0.448 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in x 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in x 0.452 * [taylor]: Taking taylor expansion of -1 in x 0.452 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in x 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (pow y 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in x 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1 in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.478 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.478 * [approximate]: Taking taylor expansion of (* (pow x 2) (- (pow x 2) (pow y 2))) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (* (pow x 2) (- (pow x 2) (pow y 2))) in y 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (* (pow x 2) (- (pow x 2) (pow y 2))) in x 0.478 * [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 (- (pow x 2) (pow y 2)) in x 0.478 * [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 (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (* (pow x 2) (- (pow x 2) (pow y 2))) in x 0.478 * [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 (- (pow x 2) (pow y 2)) in x 0.478 * [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 (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of -1 in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow x 2)) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) 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 (pow x 2) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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 (/ 1 (pow y 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow x 2)) in (x y) around 0 0.510 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow x 2)) in y 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow x 2)) in x 0.512 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (pow y 2)) in x 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.512 * [taylor]: Taking taylor expansion of 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 0.513 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of 1 in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.533 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.533 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.533 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of (- x y) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (- x y) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (- x y) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of (- y) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of 1 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.540 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.541 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 1 in y 0.543 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.552 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.552 * [taylor]: Taking taylor expansion of -1 in y 0.552 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.552 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.553 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.553 * [taylor]: Taking taylor expansion of -1 in x 0.553 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.554 * [taylor]: Taking taylor expansion of -1 in x 0.554 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of 1 in y 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.568 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.569 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x (- (pow x 2) (pow y 2))) (- x y))) in (x y) around 0 0.569 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x (- (pow x 2) (pow y 2))) (- x y))) in y 0.569 * [taylor]: Taking taylor expansion of 2.0 in y 0.569 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in y 0.569 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (- x y) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x (- (pow x 2) (pow y 2))) (- x y))) in x 0.570 * [taylor]: Taking taylor expansion of 2.0 in x 0.570 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in x 0.570 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (- x y) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x (- (pow x 2) (pow y 2))) (- x y))) in x 0.571 * [taylor]: Taking taylor expansion of 2.0 in x 0.571 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in x 0.571 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (- x y) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.573 * [taylor]: Taking taylor expansion of 2.0 in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 2.0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x))) in (x y) around 0 0.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x))) in y 0.585 * [taylor]: Taking taylor expansion of 2.0 in y 0.585 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in y 0.585 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.587 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x))) in x 0.587 * [taylor]: Taking taylor expansion of 2.0 in x 0.587 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in x 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.588 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x))) in x 0.590 * [taylor]: Taking taylor expansion of 2.0 in x 0.590 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in x 0.590 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of 2.0 in y 0.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.597 * [taylor]: Taking taylor expansion of 2.0 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* x (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* x (- (/ 1 y) (/ 1 x))))) in y 0.619 * [taylor]: Taking taylor expansion of -2.0 in y 0.619 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* x (- (/ 1 y) (/ 1 x)))) in y 0.619 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* x (- (/ 1 y) (/ 1 x))))) in x 0.621 * [taylor]: Taking taylor expansion of -2.0 in x 0.621 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* x (- (/ 1 y) (/ 1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (pow y 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* x (- (/ 1 y) (/ 1 x))))) in x 0.624 * [taylor]: Taking taylor expansion of -2.0 in x 0.624 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* x (- (/ 1 y) (/ 1 x)))) in x 0.624 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of 2.0 in y 0.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.632 * [taylor]: Taking taylor expansion of 2.0 in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.653 * * * [progress]: simplifying candidates 0.656 * [simplify]: Simplifying using # : (expm1 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (log1p (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (- (+ (* (log x) 2) (log (- (pow x 2) (* y y)))) (+ (log x) (log (- x y)))) (- (+ (* (log x) 2) (log (- (pow x 2) (* y y)))) (log (* x (- x y)))) (- (+ (* (log x) 2) (log (- (pow x 2) (* y y)))) (+ (log x) (log (- x y)))) (- (+ (* (log x) 2) (log (- (pow x 2) (* y y)))) (log (* x (- x y)))) (- (+ (log (pow x 2)) (log (- (pow x 2) (* y y)))) (+ (log x) (log (- x y)))) (- (+ (log (pow x 2)) (log (- (pow x 2) (* y y)))) (log (* x (- x y)))) (- (log (* (pow x 2) (- (pow x 2) (* y y)))) (+ (log x) (log (- x y)))) (- (log (* (pow x 2) (- (pow x 2) (* y y)))) (log (* x (- x y)))) (log (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (exp (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (/ (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (- (pow x 2) (* y y)) (- (pow x 2) (* y y))) (- (pow x 2) (* y y)))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y)))) (/ (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (- (pow x 2) (* y y)) (- (pow x 2) (* y y))) (- (pow x 2) (* y y)))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y)))) (/ (* (* (* (pow x 2) (- (pow x 2) (* y y))) (* (pow x 2) (- (pow x 2) (* y y)))) (* (pow x 2) (- (pow x 2) (* y y)))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y)))) (/ (* (* (* (pow x 2) (- (pow x 2) (* y y))) (* (pow x 2) (- (pow x 2) (* y y)))) (* (pow x 2) (- (pow x 2) (* y y)))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y)))) (* (cbrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (cbrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (cbrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (* (* (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))) (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (sqrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (sqrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (- (* (pow x 2) (- (pow x 2) (* y y)))) (- (* x (- x y))) (/ (pow x 2) x) (/ (- (pow x 2) (* y y)) (- x y)) (/ 1 (* x (- x y))) (/ (* x (- x y)) (* (pow x 2) (- (pow x 2) (* y y)))) (/ (* (pow x 2) (- (pow x 2) (* y y))) x) (/ (* x (- x y)) (- (pow x 2) (* y y))) (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- (pow x 3) (pow y 3)))) (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- (* x x) (* y y)))) (* (* x (- x y)) (+ (* (pow x 2) (pow x 2)) (+ (* (* y y) (* y y)) (* (pow x 2) (* y y))))) (* (* x (- x y)) (+ (pow x 2) (* y y))) (expm1 (* (pow x 2) (- (pow x 2) (* y y)))) (log1p (* (pow x 2) (- (pow x 2) (* y y)))) (+ (* (log x) 2) (log (- (pow x 2) (* y y)))) (+ (* (log x) 2) (log (- (pow x 2) (* y y)))) (+ (log (pow x 2)) (log (- (pow x 2) (* y y)))) (log (* (pow x 2) (- (pow x 2) (* y y)))) (exp (* (pow x 2) (- (pow x 2) (* y y)))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (- (pow x 2) (* y y)) (- (pow x 2) (* y y))) (- (pow x 2) (* y y)))) (* (cbrt (* (pow x 2) (- (pow x 2) (* y y)))) (cbrt (* (pow x 2) (- (pow x 2) (* y y))))) (cbrt (* (pow x 2) (- (pow x 2) (* y y)))) (* (* (* (pow x 2) (- (pow x 2) (* y y))) (* (pow x 2) (- (pow x 2) (* y y)))) (* (pow x 2) (- (pow x 2) (* y y)))) (sqrt (* (pow x 2) (- (pow x 2) (* y y)))) (sqrt (* (pow x 2) (- (pow x 2) (* y y)))) (* (pow (sqrt x) 2) (sqrt (- (pow x 2) (* y y)))) (* (pow (sqrt x) 2) (sqrt (- (pow x 2) (* y y)))) (* x (sqrt (- (pow x 2) (* y y)))) (* x (sqrt (- (pow x 2) (* y y)))) (* (sqrt (pow x 2)) (sqrt (- (pow x 2) (* y y)))) (* (sqrt (pow x 2)) (sqrt (- (pow x 2) (* y y)))) (* (pow x (/ 2 2)) (sqrt (- (pow x 2) (* y y)))) (* (pow x (/ 2 2)) (sqrt (- (pow x 2) (* y y)))) (* (pow x 2) (fma (pow (* (cbrt x) (cbrt x)) 2) (pow (cbrt x) 2) (- (* y y)))) (* (pow x 2) (fma (- y) y (* y y))) (* (pow x 2) (fma (pow (sqrt x) 2) (pow (sqrt x) 2) (- (* y y)))) (* (pow x 2) (fma (- y) y (* y y))) (* (pow x 2) (fma (pow 1 2) (pow x 2) (- (* y y)))) (* (pow x 2) (fma (- y) y (* y y))) (* (pow x 2) (fma x x (- (* y y)))) (* (pow x 2) (fma (- y) y (* y y))) (* (pow x 2) (fma (* (cbrt (pow x 2)) (cbrt (pow x 2))) (cbrt (pow x 2)) (- (* y y)))) (* (pow x 2) (fma (- y) y (* y y))) (* (pow x 2) (fma (sqrt (pow x 2)) (sqrt (pow x 2)) (- (* y y)))) (* (pow x 2) (fma (- y) y (* y y))) (* (pow x 2) (fma 1 (pow x 2) (- (* y y)))) (* (pow x 2) (fma (- y) y (* y y))) (* (pow x 2) (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (- (* y y)))) (* (pow x 2) (fma (- y) y (* y y))) (* (pow x 2) (pow x 2)) (* (pow x 2) (- (* y y))) (* (pow x 2) (pow x 2)) (* (pow x 2) (- (* y y))) (* (fma (pow (* (cbrt x) (cbrt x)) 2) (pow (cbrt x) 2) (- (* y y))) (pow x 2)) (* (fma (- y) y (* y y)) (pow x 2)) (* (fma (pow (sqrt x) 2) (pow (sqrt x) 2) (- (* y y))) (pow x 2)) (* (fma (- y) y (* y y)) (pow x 2)) (* (fma (pow 1 2) (pow x 2) (- (* y y))) (pow x 2)) (* (fma (- y) y (* y y)) (pow x 2)) (* (fma x x (- (* y y))) (pow x 2)) (* (fma (- y) y (* y y)) (pow x 2)) (* (fma (* (cbrt (pow x 2)) (cbrt (pow x 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(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))))) (cbrt (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* (* (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (sqrt (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (sqrt (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* (sqrt 2.0) (sqrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* (sqrt 2.0) (sqrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* 2.0 (* (cbrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (cbrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))))) (* 2.0 (sqrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* 2.0 (/ (pow x 2) x)) (* 2.0 1) (* 2.0 (* (pow x 2) (- (pow x 2) (* y y)))) (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- (pow x 3) (pow y 3))))) (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- (* x x) (* y y))))) (* (cbrt 2.0) (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (* (sqrt 2.0) (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (* 2.0 (* (pow x 2) (- (pow x 2) (* y y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (- (pow x 4) (* (pow x 2) (pow y 2))) (- (pow x 4) (* (pow x 2) (pow y 2))) (- (pow x 4) (* (pow x 2) (pow y 2))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.668 * * [simplify]: iteration 0 : 677 enodes (cost 1676 ) 0.687 * * [simplify]: iteration 1 : 4121 enodes (cost 1280 ) 0.783 * * [simplify]: iteration 2 : 5002 enodes (cost 1272 ) 0.791 * [simplify]: Simplified to: (expm1 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (log1p (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (log (/ (* 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(pow x 3) (pow y 3))) (* (- (pow x 2) (* y y)) x) (expm1 (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log1p (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (log (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (exp (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (pow (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) 3) (pow (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) 3) (pow (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) 3) (pow (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) 3) (pow (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) 3) (* (cbrt (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (cbrt (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))))) (cbrt (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (pow (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) 3) (sqrt (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (sqrt (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* (sqrt 2.0) (sqrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* (sqrt 2.0) (sqrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* 2.0 (* (cbrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (cbrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))))) (* 2.0 (sqrt (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))) (* 2.0 (/ (pow x 2) x)) 2.0 (* 2.0 (* (pow x 2) (- (pow x 2) (* y y)))) (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- (pow x 3) (pow y 3))))) (* 2.0 (/ (pow x 2) x)) (* (cbrt 2.0) (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (* (sqrt 2.0) (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))) (* 2.0 (* (pow x 2) (- (pow x 2) (* y y)))) (fma y x (pow x 2)) (fma y x (pow x 2)) (fma y x (pow x 2)) (* (pow x 2) (- (pow x 2) (* y y))) (* (pow x 2) (- (pow x 2) (* y y))) (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) (* 2.0 (fma y x (pow x 2))) (* 2.0 (fma y x (pow x 2))) (* 2.0 (fma y x (pow x 2))) 0.792 * * * [progress]: adding candidates to table 1.021 * * [progress]: iteration 4 / 4 1.021 * * * [progress]: picking best candidate 1.023 * * * * [pick]: Picked # 1.023 * * * [progress]: localizing error 1.029 * * * [progress]: generating rewritten candidates 1.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.033 * * * [progress]: generating series expansions 1.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.033 * [approximate]: Taking taylor expansion of (* 2.0 (fma y x (pow x 2))) in (y x) around 0 1.033 * [taylor]: Taking taylor expansion of (* 2.0 (fma y x (pow x 2))) in x 1.034 * [taylor]: Taking taylor expansion of 2.0 in x 1.034 * [taylor]: Taking taylor expansion of (fma y x (pow x 2)) in x 1.034 * [taylor]: Rewrote expression to (+ (* y x) (pow x 2)) 1.034 * [taylor]: Taking taylor expansion of (* y x) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (* 2.0 (fma y x (pow x 2))) in y 1.034 * [taylor]: Taking taylor expansion of 2.0 in y 1.034 * [taylor]: Taking taylor expansion of (fma y x (pow x 2)) in y 1.034 * [taylor]: Rewrote expression to (+ (* y x) (pow x 2)) 1.034 * [taylor]: Taking taylor expansion of (* y x) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [taylor]: Taking taylor expansion of (* 2.0 (fma y x (pow x 2))) in y 1.034 * [taylor]: Taking taylor expansion of 2.0 in y 1.034 * [taylor]: Taking taylor expansion of (fma y x (pow x 2)) in y 1.034 * [taylor]: Rewrote expression to (+ (* y x) (pow x 2)) 1.034 * [taylor]: Taking taylor expansion of (* y x) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 1.034 * [taylor]: Taking taylor expansion of 2.0 in x 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.035 * [taylor]: Taking taylor expansion of 2.0 in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of 0 in x 1.040 * [taylor]: Taking taylor expansion of 0 in x 1.045 * [taylor]: Taking taylor expansion of 0 in x 1.045 * [approximate]: Taking taylor expansion of (* 2.0 (fma (/ 1 y) (/ 1 x) (pow (/ 1 x) 2))) in (y x) around 0 1.045 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 y) (/ 1 x) (pow (/ 1 x) 2))) in x 1.045 * [taylor]: Taking taylor expansion of 2.0 in x 1.045 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (pow (/ 1 x) 2)) in x 1.045 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (pow (/ 1 x) 2)) 1.045 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 y) (/ 1 x) (pow (/ 1 x) 2))) in y 1.046 * [taylor]: Taking taylor expansion of 2.0 in y 1.046 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (pow (/ 1 x) 2)) in y 1.046 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (pow (/ 1 x) 2)) 1.046 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 y) (/ 1 x) (pow (/ 1 x) 2))) in y 1.046 * [taylor]: Taking taylor expansion of 2.0 in y 1.046 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (pow (/ 1 x) 2)) in y 1.047 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (pow (/ 1 x) 2)) 1.047 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 1.047 * [taylor]: Taking taylor expansion of 2.0 in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 1.049 * [taylor]: Taking taylor expansion of 2.0 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of 0 in x 1.055 * [taylor]: Taking taylor expansion of 0 in x 1.061 * [taylor]: Taking taylor expansion of 0 in x 1.063 * [approximate]: Taking taylor expansion of (* 2.0 (fma (/ -1 y) (/ -1 x) (pow (/ -1 x) 2))) in (y x) around 0 1.063 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 y) (/ -1 x) (pow (/ -1 x) 2))) in x 1.063 * [taylor]: Taking taylor expansion of 2.0 in x 1.063 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (pow (/ -1 x) 2)) in x 1.063 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (pow (/ -1 x) 2)) 1.063 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.063 * [taylor]: Taking taylor expansion of -1 in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.063 * [taylor]: Taking taylor expansion of -1 in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.063 * [taylor]: Taking taylor expansion of -1 in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 y) (/ -1 x) (pow (/ -1 x) 2))) in y 1.064 * [taylor]: Taking taylor expansion of 2.0 in y 1.064 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (pow (/ -1 x) 2)) in y 1.064 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (pow (/ -1 x) 2)) 1.064 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in y 1.064 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.064 * [taylor]: Taking taylor expansion of -1 in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.064 * [taylor]: Taking taylor expansion of -1 in y 1.064 * [taylor]: Taking taylor expansion of x in y 1.064 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 1.064 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.064 * [taylor]: Taking taylor expansion of -1 in y 1.064 * [taylor]: Taking taylor expansion of x in y 1.064 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 y) (/ -1 x) (pow (/ -1 x) 2))) in y 1.064 * [taylor]: Taking taylor expansion of 2.0 in y 1.064 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (pow (/ -1 x) 2)) in y 1.064 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (pow (/ -1 x) 2)) 1.064 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in y 1.064 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.065 * [taylor]: Taking taylor expansion of -1 in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.065 * [taylor]: Taking taylor expansion of -1 in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 1.065 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.065 * [taylor]: Taking taylor expansion of -1 in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 1.065 * [taylor]: Taking taylor expansion of 2.0 in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 1.067 * [taylor]: Taking taylor expansion of 2.0 in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of 0 in x 1.073 * [taylor]: Taking taylor expansion of 0 in x 1.079 * [taylor]: Taking taylor expansion of 0 in x 1.080 * * * [progress]: simplifying candidates 1.081 * [simplify]: Simplifying using # : (expm1 (* 2.0 (fma y x (pow x 2)))) (log1p (* 2.0 (fma y x (pow x 2)))) (* 2.0 (fma y x (pow x 2))) (+ (log 2.0) (log (fma y x (pow x 2)))) (log (* 2.0 (fma y x (pow x 2)))) (exp (* 2.0 (fma y x (pow x 2)))) (* (* (* 2.0 2.0) 2.0) (* (* (fma y x (pow x 2)) (fma y x (pow x 2))) (fma y x (pow x 2)))) (* (cbrt (* 2.0 (fma y x (pow x 2)))) (cbrt (* 2.0 (fma y x (pow x 2))))) (cbrt (* 2.0 (fma y x (pow x 2)))) (* (* (* 2.0 (fma y x (pow x 2))) (* 2.0 (fma y x (pow x 2)))) (* 2.0 (fma y x (pow x 2)))) (sqrt (* 2.0 (fma y x (pow x 2)))) (sqrt (* 2.0 (fma y x (pow x 2)))) (* (sqrt 2.0) (sqrt (fma y x (pow x 2)))) (* (sqrt 2.0) (sqrt (fma y x (pow x 2)))) (* 2.0 (* y x)) (* 2.0 (pow x 2)) (* (* y x) 2.0) (* (pow x 2) 2.0) (* 2.0 (* (cbrt (fma y x (pow x 2))) (cbrt (fma y x (pow x 2))))) (* 2.0 (sqrt (fma y x (pow x 2)))) (* 2.0 1) (* (cbrt 2.0) (fma y x (pow x 2))) (* (sqrt 2.0) (fma y x (pow x 2))) (* 2.0 (fma y x (pow x 2))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 1.085 * * [simplify]: iteration 0 : 89 enodes (cost 119 ) 1.087 * * [simplify]: iteration 1 : 370 enodes (cost 102 ) 1.096 * * [simplify]: iteration 2 : 1850 enodes (cost 102 ) 1.132 * * [simplify]: iteration 3 : 5003 enodes (cost 102 ) 1.134 * [simplify]: Simplified to: (expm1 (* 2.0 (fma y x (pow x 2)))) (log1p (* 2.0 (fma y x (pow x 2)))) (* 2.0 (fma y x (pow x 2))) (log (* 2.0 (fma y x (pow x 2)))) (log (* 2.0 (fma y x (pow x 2)))) (exp (* 2.0 (fma y x (pow x 2)))) (pow (* 2.0 (fma y x (pow x 2))) 3) (* (cbrt (* 2.0 (fma y x (pow x 2)))) (cbrt (* 2.0 (fma y x (pow x 2))))) (cbrt (* 2.0 (fma y x (pow x 2)))) (pow (* 2.0 (fma y x (pow x 2))) 3) (sqrt (* 2.0 (fma y x (pow x 2)))) (sqrt (* 2.0 (fma y x (pow x 2)))) (* (sqrt 2.0) (sqrt (fma y x (pow x 2)))) (* (sqrt 2.0) (sqrt (fma y x (pow x 2)))) (* 2.0 (* y x)) (* 2.0 (pow x 2)) (* 2.0 (* y x)) (* 2.0 (pow x 2)) (* 2.0 (* (cbrt (fma y x (pow x 2))) (cbrt (fma y x (pow x 2))))) (* 2.0 (sqrt (fma y x (pow x 2)))) 2.0 (* (cbrt 2.0) (fma y x (pow x 2))) (* (sqrt 2.0) (fma y x (pow x 2))) (* 2.0 (fma y x (pow x 2))) (* 2.0 (fma y x (pow x 2))) (* 2.0 (fma y x (pow x 2))) (* 2.0 (fma y x (pow x 2))) 1.134 * * * [progress]: adding candidates to table 1.170 * [progress]: [Phase 3 of 3] Extracting. 1.170 * * [regime]: Finding splitpoints for: (# #) 1.170 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.170 * * * * [regimes]: Trying to branch on y from (# #) 1.182 * * * * [regimes]: Trying to branch on x from (# #) 1.197 * * * [regime]: Found split indices: #