13.169 * [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 # : (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.019 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.021 * * [simplify]: iteration 1 : 40 enodes (cost 9 ) 0.023 * * [simplify]: iteration 2 : 78 enodes (cost 9 ) 0.026 * * [simplify]: iteration 3 : 134 enodes (cost 9 ) 0.029 * * [simplify]: iteration 4 : 200 enodes (cost 9 ) 0.032 * * [simplify]: iteration 5 : 233 enodes (cost 9 ) 0.036 * * [simplify]: iteration 6 : 239 enodes (cost 9 ) 0.040 * * [simplify]: iteration 7 : 239 enodes (cost 9 ) 0.040 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.068 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of 4.0 in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of 4.0 in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.068 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.069 * [taylor]: Taking taylor expansion of 4.0 in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.069 * [taylor]: Taking taylor expansion of 4.0 in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.069 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.069 * [taylor]: Taking taylor expansion of 4.0 in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.070 * [taylor]: Taking taylor expansion of 4.0 in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of -1.0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.076 * [taylor]: Taking taylor expansion of 0.5 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of 4.0 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.086 * [taylor]: Taking taylor expansion of 4.0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 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 0.089 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of 4.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 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 (* 4.0 (/ 1 (pow y 2))) in x 0.090 * [taylor]: Taking taylor expansion of 4.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.092 * [taylor]: Taking taylor expansion of 4.0 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.093 * [taylor]: Taking taylor expansion of 4.0 in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.100 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.100 * [taylor]: Taking taylor expansion of 8.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of 4.0 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.110 * [taylor]: Taking taylor expansion of 4.0 in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of 4.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of 4.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of 4.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of 4.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.124 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.124 * [taylor]: Taking taylor expansion of 8.0 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.132 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of 4.0 in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of 4.0 in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of 4.0 in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of 4.0 in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [taylor]: Taking taylor expansion of 1 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of 4.0 in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of 4.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.152 * [taylor]: Taking taylor expansion of 4.0 in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.155 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.155 * [taylor]: Taking taylor expansion of 4.0 in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of 4.0 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of 4.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of 4.0 in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.171 * [taylor]: Taking taylor expansion of 4.0 in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.181 * * * [progress]: simplifying candidates 0.182 * [simplify]: Simplifying using # : (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- 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x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (fma x x (- (* y (* y 4.0)))) (fma (- y) (* y 4.0) (* y (* y 4.0))) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) 0.188 * * [simplify]: iteration 0 : 237 enodes (cost 617 ) 0.195 * * [simplify]: iteration 1 : 1114 enodes (cost 565 ) 0.220 * * [simplify]: iteration 2 : 5002 enodes (cost 555 ) 0.223 * [simplify]: Simplified to: (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) 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(* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (fma (pow (pow y 2) 3) (pow 4.0 3) (pow x 6))) (/ (- (* x x) (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (pow x 2))) (* (* x x) (* x x))) (fma x x (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) (* (* y 4.0) (+ (- y) y)) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (fma (pow y 2) (* 4.0 (fma x x (* (* y 4.0) y))) (pow x 4)) (- (* (* y 4.0) y)) (fma (- (* y 4.0)) (* (pow y 3) 4.0) (pow x 4)) (fma x x (* (* y 4.0) y)) (- (* (* y 4.0) y)) -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) 0.224 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 2 / 4 0.354 * * * [progress]: picking best candidate 0.356 * * * * [pick]: Picked # 0.356 * * * [progress]: localizing error 0.357 * * * [progress]: generating rewritten candidates 0.357 * * * [progress]: generating series expansions 0.357 * * * [progress]: simplifying candidates 0.357 * [simplify]: Simplifying using # : 0.359 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.359 * [simplify]: Simplified to: 0.360 * * * [progress]: adding candidates to table 0.360 * * [progress]: iteration 3 / 4 0.360 * * * [progress]: picking best candidate 0.361 * * * * [pick]: Picked # 0.361 * * * [progress]: localizing error 0.361 * * * [progress]: generating rewritten candidates 0.361 * * * [progress]: generating series expansions 0.361 * * * [progress]: simplifying candidates 0.362 * [simplify]: Simplifying using # : 0.364 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.364 * [simplify]: Simplified to: 0.364 * * * [progress]: adding candidates to table 0.364 * [progress]: [Phase 3 of 3] Extracting. 0.364 * * [regime]: Finding splitpoints for: (# #) 0.365 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.365 * * * * [regimes]: Trying to branch on y from (# #) 0.388 * * * * [regimes]: Trying to branch on x from (# #) 0.418 * * * [regime]: Found split indices: #