20.986 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (* x 2.0) (* x x)) (* y y)) 0.025 * * [simplify]: iteration 0 : 16 enodes (cost 4 ) 0.026 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 41 enodes (cost 3 ) 0.029 * * [simplify]: iteration 3 : 41 enodes (cost 3 ) 0.029 * [simplify]: Simplified to: (fma x (+ 2.0 x) (* y y)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.055 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.055 * [taylor]: Taking taylor expansion of 2.0 in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.055 * [taylor]: Taking taylor expansion of 2.0 in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.072 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 2.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of 2.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.090 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 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 (* 2.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 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 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.110 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.110 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 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 (+ (* 2.0 x) (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.110 * [taylor]: Taking taylor expansion of 2.0 in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.110 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.110 * [taylor]: Taking taylor expansion of 2.0 in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.110 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.110 * [taylor]: Taking taylor expansion of 2.0 in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 2.0 in y 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.115 * [taylor]: Taking taylor expansion of 2.0 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) 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 (* 2.0 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 2.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 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 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of 2.0 in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.119 * [taylor]: Taking taylor expansion of 2.0 in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 2.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 2.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of 1 in y 0.131 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.131 * [taylor]: Taking taylor expansion of 2.0 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.138 * * * [progress]: simplifying candidates 0.139 * [simplify]: Simplifying using # : (expm1 (+ (* x 2.0) (* x x))) (log1p (+ (* x 2.0) (* x x))) (* (exp (* x 2.0)) (exp (* x x))) (log (+ (* x 2.0) (* x x))) (exp (+ (* x 2.0) (* x x))) (* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x)))) (cbrt (+ (* x 2.0) (* x x))) (* (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (+ (pow (* x 2.0) 3) (pow (* x x) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (* x x) (* x x)) (* (* x 2.0) (* x x)))) (- (* (* x 2.0) (* x 2.0)) (* (* x x) (* x x))) (- (* x 2.0) (* x x)) (+ 2.0 x) (expm1 (+ (+ (* x 2.0) (* x x)) (* y y))) (log1p (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (exp (* x 2.0)) (exp (* x x))) (exp (* y y))) (* (exp (+ (* x 2.0) (* x x))) (exp (* y y))) (log (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (+ (+ (* x 2.0) (* x x)) (* y y))) (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (+ (+ (* x 2.0) (* x x)) (* y y)) (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (pow (+ (* x 2.0) (* x x)) 3) (pow (* y y) 3)) (+ (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (- (* (* y y) (* y y)) (* (+ (* x 2.0) (* x x)) (* y y)))) (- (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (* (* y y) (* y y))) (- (+ (* x 2.0) (* x x)) (* y y)) (+ (* x x) (* y y)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.147 * * [simplify]: iteration 0 : 196 enodes (cost 206 ) 0.152 * * [simplify]: iteration 1 : 967 enodes (cost 178 ) 0.169 * * [simplify]: iteration 2 : 4173 enodes (cost 167 ) 0.242 * * [simplify]: iteration 3 : 5001 enodes (cost 166 ) 0.244 * [simplify]: Simplified to: (expm1 (+ (* x 2.0) (* x x))) (log1p (+ (* x 2.0) (* x x))) (pow (exp x) (+ 2.0 x)) (log (+ (* x 2.0) (* x x))) (pow (exp x) (+ 2.0 x)) (* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x)))) (cbrt (+ (* x 2.0) (* x x))) (pow (fma x 2.0 (* x x)) 3) (sqrt (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (fma (pow 2.0 3) (pow x 3) (pow x 6)) (* x (* x (fma 2.0 2.0 (* x (- x 2.0))))) (* (pow x 2) (- (* 2.0 2.0) (pow x 2))) (* x (- 2.0 x)) (+ 2.0 x) (expm1 (+ (+ (* x 2.0) (* x x)) (* y y))) (log1p (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (fma 2.0 x (fma x x (* y y)))) (exp (fma 2.0 x (fma x x (* y y)))) (log (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (fma 2.0 x (fma x x (* y y)))) (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (pow (fma 2.0 x (fma x x (* y y))) 3) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6)) (fma (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))) (pow y 4)) (* (fma 2.0 x (- (pow x 2) (pow y 2))) (fma 2.0 x (fma x x (* y y)))) (fma 2.0 x (- (pow x 2) (pow y 2))) (fma x x (* y y)) (fma x 2.0 (* x x)) (fma x 2.0 (* x x)) (fma x 2.0 (* x x)) (fma 2.0 x (fma x x (* y y))) (fma 2.0 x (fma x x (* y y))) (fma 2.0 x (fma x x (* y y))) 0.244 * * * [progress]: adding candidates to table 0.321 * [progress]: [Phase 3 of 3] Extracting. 0.322 * [simplify]: Simplifying using # : (+ (+ (* x 2.0) (* x x)) (* y y)) 0.323 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.323 * * [simplify]: iteration 1 : 11 enodes (cost 5 ) 0.323 * [simplify]: Simplified to: (+ (+ (* x 2.0) (* x x)) (* y y)) 0.932 * [regime-testing]: End program error score: 0.014074879672549214 0.949 * [regime-testing]: Target error score: 0.014074879672549214