3.792 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.030 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.030 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.030 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * * * [progress]: simplifying candidates 0.048 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.079 * * [simplify]: iteration 0 : 4958 enodes (cost 131 ) 0.079 * * [simplify]: iteration 1 : 4958 enodes (cost 131 ) 0.080 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow x 4) (- (pow y 4) (* x (* x (* y y))))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.080 * * * [progress]: adding candidates to table 0.099 * * [progress]: iteration 2 / 4 0.099 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.113 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.130 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.138 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.140 * [taylor]: Taking taylor expansion of 1/2 in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of 1/2 in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of 1/2 in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.145 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.146 * [taylor]: Taking taylor expansion of 1/2 in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of 1/2 in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x 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 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of 1/2 in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.152 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.152 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of 1 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.158 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 1 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of 1 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.164 * * * [progress]: simplifying candidates 0.165 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.219 * * [simplify]: iteration 0 : 4956 enodes (cost 1086 ) 0.220 * * [simplify]: iteration 1 : 4956 enodes (cost 1086 ) 0.224 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow x 6) (pow y 6))) (sqrt (+ (pow x 4) (- (pow y 4) (* x (* x (* y y)))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow x 6) (pow y 6))) (sqrt (+ (pow x 4) (- (pow y 4) (* x (* x (* y y)))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow x 4) (- (pow y 4) (* x (* x (* y y))))) (* (sqrt (+ (pow x 6) (pow y 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (pow x 4) (- (pow y 4) (* x (* x (* y y)))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow x 6) (pow y 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (pow x 4) (- (pow y 4) (* x (* x (* y y)))))) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (* (sqrt (+ (* x x) (* y y))) (fabs (cbrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow x 6) (pow y 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow x 6) (pow y 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow x 4) (- (pow y 4) (* x (* x (* y y))))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (neg x) y x (neg x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.225 * * * [progress]: adding candidates to table 0.314 * [progress]: [Phase 3 of 3] Extracting. 0.314 * * [regime]: Finding splitpoints for: (# #) 0.314 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 0.314 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.345 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.377 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.410 * * * * [regimes]: Trying to branch on y from (# #) 0.443 * * * * [regimes]: Trying to branch on x from (# #) 0.475 * * * [regime]: Found split indices: #