30.553 * [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 x) (* (* x 2.0) y)) (* y y)) 0.026 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.028 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.034 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.034 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.059 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.059 * [taylor]: Taking taylor expansion of 2.0 in y 0.059 * [taylor]: Taking taylor expansion of (* x y) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of 2.0 in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of 2.0 in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.070 * [taylor]: Taking taylor expansion of 2.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.070 * [taylor]: Taking taylor expansion of (* x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 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 0.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of 2.0 in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.089 * [taylor]: Taking taylor expansion of 2.0 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 (+ (/ 1 (pow x 2)) (* 2.0 (/ 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 (* 2.0 (/ 1 (* x y))) in x 0.090 * [taylor]: Taking taylor expansion of 2.0 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 (+ (/ 1 (pow x 2)) (* 2.0 (/ 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 (* 2.0 (/ 1 (* x y))) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 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 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.104 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.104 * [taylor]: Taking taylor expansion of 2.0 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 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in x 0.104 * [taylor]: Taking taylor expansion of (* x y) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in x 0.104 * [taylor]: Taking taylor expansion of (* x y) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.106 * [taylor]: Taking taylor expansion of 2.0 in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 1 in y 0.110 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) 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 0.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.111 * [taylor]: Taking taylor expansion of 2.0 in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.112 * [taylor]: Taking taylor expansion of 2.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.112 * [taylor]: Taking taylor expansion of (* x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) 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 (* 2.0 (/ 1 (* x y))) in x 0.113 * [taylor]: Taking taylor expansion of 2.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.113 * [taylor]: Taking taylor expansion of (* x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of 2.0 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.118 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.119 * [taylor]: Taking taylor expansion of 2.0 in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.119 * [taylor]: Taking taylor expansion of (* x y) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.121 * [taylor]: Taking taylor expansion of 2.0 in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.121 * [taylor]: Taking taylor expansion of (* x y) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.122 * [taylor]: Taking taylor expansion of 2.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.122 * [taylor]: Taking taylor expansion of (* x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.124 * [taylor]: Taking taylor expansion of 2.0 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.124 * [taylor]: Taking taylor expansion of y 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 0.127 * * * [progress]: simplifying candidates 0.128 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.132 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.138 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.165 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.167 * [simplify]: Simplified to: (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (fma y 2.0 x)) (+ (log x) (log (fma y 2.0 x))) (pow (exp x) (fma y 2.0 x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (fma x x (* (* x 2.0) y)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (fma (pow x 3) (pow (* 2.0 y) 3) (pow x 6)) (fma x (* (* 2.0 y) (* x (- (* 2.0 y) x))) (pow x 4)) (* (* (* x (- x (* 2.0 y))) x) (fma y 2.0 x)) (* x (- x (* 2.0 y))) (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (pow (fma y (fma 2.0 x y) (pow x 2)) 3) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* (* x 2.0) y)) 3)) (+ (+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y))) (pow y 4)) (* (fma y (fma 2.0 x y) (pow x 2)) (fma y (- (* x 2.0) y) (pow x 2))) (fma y (- (* x 2.0) y) (pow x 2)) (* (fma 2.0 x y) y) (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y)) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) 0.167 * * * [progress]: adding candidates to table 0.256 * * [progress]: iteration 2 / 4 0.256 * * * [progress]: picking best candidate 0.259 * * * * [pick]: Picked # 0.259 * * * [progress]: localizing error 0.267 * * * [progress]: generating rewritten candidates 0.268 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.268 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.272 * * * [progress]: generating series expansions 0.272 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.272 * [approximate]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.272 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.272 * [taylor]: Taking taylor expansion of (* x x) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.272 * [taylor]: Taking taylor expansion of 2.0 in y 0.272 * [taylor]: Taking taylor expansion of (* x y) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.272 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.272 * [taylor]: Taking taylor expansion of (* x x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.272 * [taylor]: Taking taylor expansion of 2.0 in x 0.273 * [taylor]: Taking taylor expansion of (* x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.273 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.273 * [taylor]: Taking taylor expansion of (* x x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.273 * [taylor]: Taking taylor expansion of 2.0 in x 0.273 * [taylor]: Taking taylor expansion of (* x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.275 * [taylor]: Taking taylor expansion of 2.0 in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.284 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.284 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.285 * [taylor]: Taking taylor expansion of 2.0 in y 0.285 * [taylor]: Taking taylor expansion of (* x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.285 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.285 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in x 0.286 * [taylor]: Taking taylor expansion of (* x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.286 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.286 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.287 * [taylor]: Taking taylor expansion of 2.0 in x 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of 1 in y 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.289 * [taylor]: Taking taylor expansion of 2.0 in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.301 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.301 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.301 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.301 * [taylor]: Taking taylor expansion of -1 in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.301 * [taylor]: Taking taylor expansion of -1 in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.301 * [taylor]: Taking taylor expansion of 2.0 in y 0.301 * [taylor]: Taking taylor expansion of (* x y) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.301 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.301 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.302 * [taylor]: Taking taylor expansion of -1 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.302 * [taylor]: Taking taylor expansion of -1 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.302 * [taylor]: Taking taylor expansion of 2.0 in x 0.302 * [taylor]: Taking taylor expansion of (* x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.303 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.303 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.303 * [taylor]: Taking taylor expansion of -1 in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.303 * [taylor]: Taking taylor expansion of -1 in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.303 * [taylor]: Taking taylor expansion of 2.0 in x 0.303 * [taylor]: Taking taylor expansion of (* x y) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.306 * [taylor]: Taking taylor expansion of 2.0 in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.318 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.318 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.318 * [taylor]: Taking taylor expansion of (* x x) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.318 * [taylor]: Taking taylor expansion of 2.0 in y 0.318 * [taylor]: Taking taylor expansion of (* x y) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.318 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.318 * [taylor]: Taking taylor expansion of (* x x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.318 * [taylor]: Taking taylor expansion of 2.0 in x 0.318 * [taylor]: Taking taylor expansion of (* x y) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.318 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.318 * [taylor]: Taking taylor expansion of (* x x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.318 * [taylor]: Taking taylor expansion of 2.0 in x 0.318 * [taylor]: Taking taylor expansion of (* x y) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.321 * [taylor]: Taking taylor expansion of 2.0 in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1 in y 0.328 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.329 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.329 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.329 * [taylor]: Taking taylor expansion of 2.0 in y 0.329 * [taylor]: Taking taylor expansion of (* x y) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.330 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.330 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.331 * [taylor]: Taking taylor expansion of 2.0 in x 0.331 * [taylor]: Taking taylor expansion of (* x y) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.331 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.331 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.332 * [taylor]: Taking taylor expansion of 2.0 in x 0.332 * [taylor]: Taking taylor expansion of (* x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 1 in y 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.335 * [taylor]: Taking taylor expansion of 2.0 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.339 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.339 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.339 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.339 * [taylor]: Taking taylor expansion of -1 in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.339 * [taylor]: Taking taylor expansion of -1 in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.339 * [taylor]: Taking taylor expansion of 2.0 in y 0.339 * [taylor]: Taking taylor expansion of (* x y) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.340 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.340 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.340 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.341 * [taylor]: Taking taylor expansion of -1 in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.341 * [taylor]: Taking taylor expansion of 2.0 in x 0.341 * [taylor]: Taking taylor expansion of (* x y) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.342 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.342 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.342 * [taylor]: Taking taylor expansion of -1 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.342 * [taylor]: Taking taylor expansion of -1 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.343 * [taylor]: Taking taylor expansion of 2.0 in x 0.343 * [taylor]: Taking taylor expansion of (* x y) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1 in y 0.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.345 * [taylor]: Taking taylor expansion of 2.0 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.350 * * * [progress]: simplifying candidates 0.350 * [simplify]: Simplifying using # : (expm1 (fma x x (* (* x 2.0) y))) (log1p (fma x x (* (* x 2.0) y))) (* x x) (log (fma x x (* (* x 2.0) y))) (exp (fma x x (* (* x 2.0) y))) (* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y)))) (cbrt (fma x x (* (* x 2.0) y))) (* (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (exp (fma x x (* (* x 2.0) y))) (exp (* y y))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (* (+ (fma x x (* (* x 2.0) y)) (* y y)) (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (pow (fma x x (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (fma x x (* (* x 2.0) y)) (* y y)))) (- (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (* (* y y) (* y y))) (- (fma x x (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.354 * * [simplify]: iteration 0 : 121 enodes (cost 188 ) 0.358 * * [simplify]: iteration 1 : 478 enodes (cost 167 ) 0.368 * * [simplify]: iteration 2 : 1983 enodes (cost 156 ) 0.416 * * [simplify]: iteration 3 : 5002 enodes (cost 149 ) 0.417 * [simplify]: Simplified to: (expm1 (fma x x (* (* x 2.0) y))) (log1p (fma x x (* (* x 2.0) y))) (pow x 2) (log (fma x x (* (* x 2.0) y))) (pow (exp x) (fma y 2.0 x)) (* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y)))) (cbrt (fma x x (* (* x 2.0) y))) (pow (fma x x (* (* x 2.0) y)) 3) (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (pow (fma y (fma 2.0 x y) (pow x 2)) 3) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (fma (pow x 3) (pow (fma y 2.0 x) 3) (pow y 6)) (fma (* (fma y 2.0 x) x) (- (fma x x (* (* x 2.0) y)) (* y y)) (pow y 4)) (fma (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)) (* (- (pow y 3)) y)) (fma (fma y 2.0 x) x (- (pow y 2))) (* (fma 2.0 x y) y) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) 0.417 * * * [progress]: adding candidates to table 0.495 * * [progress]: iteration 3 / 4 0.495 * * * [progress]: picking best candidate 0.496 * * * * [pick]: Picked # 0.497 * * * [progress]: localizing error 0.505 * * * [progress]: generating rewritten candidates 0.505 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.509 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.513 * * * [progress]: generating series expansions 0.514 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.514 * [approximate]: Taking taylor expansion of (* (fma 2.0 x y) y) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.514 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.514 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.514 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.514 * [taylor]: Taking taylor expansion of 2.0 in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.514 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.514 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.514 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.514 * [taylor]: Taking taylor expansion of 2.0 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.514 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.514 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.514 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.514 * [taylor]: Taking taylor expansion of 2.0 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.517 * [taylor]: Taking taylor expansion of 2.0 in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [approximate]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.524 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.524 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.524 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.524 * [taylor]: Taking taylor expansion of 2.0 in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.525 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.525 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.525 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 2.0 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.526 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.526 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of 2.0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.527 * [taylor]: Taking taylor expansion of 2.0 in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [approximate]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.539 * [taylor]: Taking taylor expansion of -1 in y 0.539 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.539 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.539 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.539 * [taylor]: Taking taylor expansion of 2.0 in y 0.539 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.539 * [taylor]: Taking taylor expansion of -1 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 -1 in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.540 * [taylor]: Taking taylor expansion of -1 in x 0.540 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.540 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.540 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.540 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.540 * [taylor]: Taking taylor expansion of 2.0 in x 0.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.540 * [taylor]: Taking taylor expansion of -1 in x 0.540 * [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 -1 in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.542 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.542 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.542 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.542 * [taylor]: Taking taylor expansion of 2.0 in x 0.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.543 * [taylor]: Taking taylor expansion of 2.0 in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.557 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.557 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in (x y) around 0 0.557 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in y 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.557 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.557 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.557 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.557 * [taylor]: Taking taylor expansion of 2.0 in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.557 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.558 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.558 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.558 * [taylor]: Taking taylor expansion of 2.0 in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.558 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.558 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.558 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.558 * [taylor]: Taking taylor expansion of 2.0 in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.560 * [taylor]: Taking taylor expansion of 2.0 in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 1 in y 0.563 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.564 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.564 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.564 * [taylor]: Taking taylor expansion of 2.0 in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.565 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.565 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of 2.0 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.567 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.567 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.567 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of 2.0 in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of 1 in y 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.570 * [taylor]: Taking taylor expansion of 2.0 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.574 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.574 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.574 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.574 * [taylor]: Taking taylor expansion of 2.0 in y 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.574 * [taylor]: Taking taylor expansion of -1 in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.574 * [taylor]: Taking taylor expansion of -1 in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.576 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.576 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.576 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.576 * [taylor]: Taking taylor expansion of 2.0 in x 0.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.576 * [taylor]: Taking taylor expansion of -1 in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.576 * [taylor]: Taking taylor expansion of -1 in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.578 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.578 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.578 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.578 * [taylor]: Taking taylor expansion of 2.0 in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of 1 in y 0.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.580 * [taylor]: Taking taylor expansion of 2.0 in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.584 * * * [progress]: simplifying candidates 0.585 * [simplify]: Simplifying using # : (expm1 (* (fma 2.0 x y) y)) (log1p (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y) (+ (log (fma 2.0 x y)) (log y)) (log (* (fma 2.0 x y) y)) (exp (* (fma 2.0 x y) y)) (* (* (* (fma 2.0 x y) (fma 2.0 x y)) (fma 2.0 x y)) (* (* y y) y)) (* (cbrt (* (fma 2.0 x y) y)) (cbrt (* (fma 2.0 x y) y))) (cbrt (* (fma 2.0 x y) y)) (* (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (fma 2.0 x y) (* (cbrt y) (cbrt y))) (* (fma 2.0 x y) (sqrt y)) (* (fma 2.0 x y) 1) (* (cbrt (fma 2.0 x y)) y) (* (sqrt (fma 2.0 x y)) y) (* (fma 2.0 x y) y) (expm1 (+ (* x x) (* (fma 2.0 x y) y))) (log1p (+ (* x x) (* (fma 2.0 x y) y))) (* (exp (* x x)) (exp (* (fma 2.0 x y) y))) (log (+ (* x x) (* (fma 2.0 x y) y))) (exp (+ (* x x) (* (fma 2.0 x y) y))) (* (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (cbrt (+ (* x x) (* (fma 2.0 x y) y)))) (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (* (* (+ (* x x) (* (fma 2.0 x y) y)) (+ (* x x) (* (fma 2.0 x y) y))) (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (+ (pow (* x x) 3) (pow (* (fma 2.0 x y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y)) (* (* x x) (* (fma 2.0 x y) y)))) (- (* (* x x) (* x x)) (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y))) (- (* x x) (* (fma 2.0 x y) y)) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.589 * * [simplify]: iteration 0 : 165 enodes (cost 192 ) 0.593 * * [simplify]: iteration 1 : 662 enodes (cost 162 ) 0.610 * * [simplify]: iteration 2 : 4080 enodes (cost 156 ) 0.688 * * [simplify]: iteration 3 : 5001 enodes (cost 156 ) 0.689 * [simplify]: Simplified to: (expm1 (* (fma 2.0 x y) y)) (log1p (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y) (log (* (fma 2.0 x y) y)) (log (* (fma 2.0 x y) y)) (exp (* (fma 2.0 x y) y)) (pow (* (fma 2.0 x y) y) 3) (* (cbrt (* (fma 2.0 x y) y)) (cbrt (* (fma 2.0 x y) y))) (cbrt (* (fma 2.0 x y) y)) (pow (* (fma 2.0 x y) y) 3) (sqrt (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (fma 2.0 x y) (* (cbrt y) (cbrt y))) (* (fma 2.0 x y) (sqrt y)) (fma 2.0 x y) (* (cbrt (fma 2.0 x y)) y) (* (sqrt (fma 2.0 x y)) y) (* (fma 2.0 x y) y) (expm1 (+ (* x x) (* (fma 2.0 x y) y))) (log1p (+ (* x x) (* (fma 2.0 x y) y))) (exp (fma x x (* (fma 2.0 x y) y))) (log (+ (* x x) (* (fma 2.0 x y) y))) (exp (fma x x (* (fma 2.0 x y) y))) (* (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (cbrt (+ (* x x) (* (fma 2.0 x y) y)))) (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (pow (fma x x (* (fma 2.0 x y) y)) 3) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (fma (pow (fma 2.0 x y) 3) (pow y 3) (pow x 6)) (fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4)) (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (- (* x x) (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y) (* (fma 2.0 x y) y) (* (fma 2.0 x y) y) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) 0.690 * * * [progress]: adding candidates to table 0.769 * [progress]: [Phase 3 of 3] Extracting. 0.769 * * [regime]: Finding splitpoints for: (# #) 0.769 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.769 * * * * [regimes]: Trying to branch on y from (# #) 0.780 * * * * [regimes]: Trying to branch on x from (# #) 0.794 * * * [regime]: Found split indices: #