0.483 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.028 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.029 * * [simplify]: iteration 1 : 18 enodes (cost 12 ) 0.031 * * [simplify]: iteration 2 : 44 enodes (cost 10 ) 0.037 * * [simplify]: iteration 3 : 71 enodes (cost 9 ) 0.044 * * [simplify]: iteration 4 : 73 enodes (cost 9 ) 0.051 * * [simplify]: iteration done : 73 enodes (cost 9 ) 0.051 * [simplify]: Simplified to: (fma x (fma y 2.0 x) (* y y)) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in y 0.063 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.063 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.063 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.063 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 0.064 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.064 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.064 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.064 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 2.0 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 0.064 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.064 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.064 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.064 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 2.0 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.066 * [taylor]: Taking taylor expansion of 2.0 in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 0.069 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.069 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.070 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.070 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 2.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.071 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.071 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.071 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.071 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.072 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.072 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.072 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.072 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of 2.0 in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in y 0.079 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.079 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in y 0.079 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.079 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.079 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.079 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.080 * [taylor]: Taking taylor expansion of -1 in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 0.081 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.081 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.081 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.081 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of 2.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 0.082 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.082 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 0.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.082 * [taylor]: Taking taylor expansion of -1 in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.082 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.082 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.082 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.082 * [taylor]: Taking taylor expansion of -1 in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.083 * [taylor]: Taking taylor expansion of -1 in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.088 * [taylor]: Taking taylor expansion of 2.0 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.092 * * * [progress]: simplifying candidates 0.092 * [simplify]: Simplifying using # : (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* x (fma y 2.0 x)) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (* (* (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y))) (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y 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)))) 0.094 * * [simplify]: iteration 0 : 23 enodes (cost 165 ) 0.097 * * [simplify]: iteration 1 : 43 enodes (cost 165 )