30.697 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.034 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.037 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.041 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.044 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.047 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.047 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [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 (fma y 2.0 x) x (pow y 2)) in (y x) around 0 0.064 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in x 0.064 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.064 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) 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 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 (fma y 2.0 x) x (pow y 2)) in y 0.064 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.064 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.064 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.064 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.064 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 2.0 in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [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 (fma y 2.0 x) x (pow y 2)) in y 0.064 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.064 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.065 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.065 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.065 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 2.0 in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.067 * [taylor]: Taking taylor expansion of 2.0 in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1 in x 0.073 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in (y x) around 0 0.073 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in x 0.073 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.073 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.073 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.073 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y 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 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.075 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.075 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.075 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.075 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.075 * [taylor]: Taking taylor expansion of (* (/ 1 y) 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 0.075 * [taylor]: Taking taylor expansion of 2.0 in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.076 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.076 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.076 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.076 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.077 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 2.0 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1 in x 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of 2.0 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.085 * [approximate]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in (y x) around 0 0.085 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in x 0.085 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.085 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.086 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.086 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.086 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.086 * [taylor]: Taking taylor expansion of -1 in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of 2.0 in x 0.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.086 * [taylor]: Taking taylor expansion of -1 in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.086 * [taylor]: Taking taylor expansion of -1 in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.087 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.087 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.087 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.087 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.087 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.087 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.087 * [taylor]: Taking taylor expansion of -1 in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 2.0 in y 0.088 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.089 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.089 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.089 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.089 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.089 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.089 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.089 * [taylor]: Taking taylor expansion of -1 in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.090 * [taylor]: Taking taylor expansion of -1 in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.090 * [taylor]: Taking taylor expansion of -1 in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 1 in x 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * * * [progress]: simplifying candidates 0.099 * [simplify]: Simplifying using # : (expm1 (fma (fma y 2.0 x) x (* y y))) (log1p (fma (fma y 2.0 x) x (* y y))) (* (fma y 2.0 x) x) (log (fma (fma y 2.0 x) x (* y y))) (exp (fma (fma y 2.0 x) x (* y y))) (* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y)))) (cbrt (fma (fma y 2.0 x) x (* y y))) (* (* (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y))) (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) 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)))) 0.103 * * [simplify]: iteration 0 : 42 enodes (cost 68 ) 0.106 * * [simplify]: iteration 1 : 104 enodes (cost 52 ) 0.111 * * [simplify]: iteration 2 : 467 enodes (cost 52 ) 0.125 * * [simplify]: iteration 3 : 2419 enodes (cost 52 ) 0.208 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.209 * [simplify]: Simplified to: (expm1 (fma (fma y 2.0 x) x (* y y))) (log1p (fma (fma y 2.0 x) x (* y y))) (* (fma y 2.0 x) x) (log (fma (fma y 2.0 x) x (* y y))) (exp (fma (fma y 2.0 x) x (* y y))) (* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y)))) (cbrt (fma (fma y 2.0 x) x (* y y))) (pow (fma (fma y 2.0 x) x (* y y)) 3) (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) 0.209 * * * [progress]: adding candidates to table 0.241 * * [progress]: iteration 2 / 4 0.241 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.252 * * * [progress]: generating rewritten candidates 0.252 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.259 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.265 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.265 * [taylor]: Taking taylor expansion of 2.0 in y 0.265 * [taylor]: Taking taylor expansion of (* x y) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.265 * [taylor]: Taking taylor expansion of 2.0 in x 0.265 * [taylor]: Taking taylor expansion of (* x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.266 * [taylor]: Taking taylor expansion of 2.0 in x 0.266 * [taylor]: Taking taylor expansion of (* x y) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.268 * [taylor]: Taking taylor expansion of 2.0 in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.273 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.274 * [taylor]: Taking taylor expansion of 2.0 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.274 * [taylor]: Taking taylor expansion of (* x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.276 * [taylor]: Taking taylor expansion of 2.0 in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.276 * [taylor]: Taking taylor expansion of (* x y) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.277 * [taylor]: Taking taylor expansion of (* x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.279 * [taylor]: Taking taylor expansion of 2.0 in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.284 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.285 * [taylor]: Taking taylor expansion of 2.0 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.287 * [taylor]: Taking taylor expansion of 2.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.288 * [taylor]: Taking taylor expansion of 2.0 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.288 * [taylor]: Taking taylor expansion of (* x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.290 * [taylor]: Taking taylor expansion of 2.0 in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.295 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.295 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.295 * [taylor]: Taking taylor expansion of 2.0 in y 0.295 * [taylor]: Taking taylor expansion of (* x y) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.295 * [taylor]: Taking taylor expansion of 2.0 in x 0.295 * [taylor]: Taking taylor expansion of (* x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [taylor]: Taking taylor expansion of (* x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.297 * [taylor]: Taking taylor expansion of 2.0 in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of 1 in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.308 * [taylor]: Taking taylor expansion of 2.0 in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.308 * [taylor]: Taking taylor expansion of (* x y) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.309 * [taylor]: Taking taylor expansion of 2.0 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.309 * [taylor]: Taking taylor expansion of (* x y) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.310 * [taylor]: Taking taylor expansion of 2.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.310 * [taylor]: Taking taylor expansion of (* x y) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of 1 in y 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.312 * [taylor]: Taking taylor expansion of 2.0 in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.326 * [taylor]: Taking taylor expansion of 2.0 in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.326 * [taylor]: Taking taylor expansion of (* x y) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.327 * [taylor]: Taking taylor expansion of 2.0 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.328 * [taylor]: Taking taylor expansion of (* x y) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.329 * [taylor]: Taking taylor expansion of 2.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.329 * [taylor]: Taking taylor expansion of (* x y) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1 in y 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of 2.0 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * * * [progress]: simplifying candidates 0.349 * [simplify]: Simplifying using # : (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)) (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)) (+ (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)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.354 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.360 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.388 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.390 * [simplify]: Simplified to: (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) (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))) (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)) (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y)) 0.390 * * * [progress]: adding candidates to table 0.468 * * [progress]: iteration 3 / 4 0.468 * * * [progress]: picking best candidate 0.470 * * * * [pick]: Picked # 0.470 * * * [progress]: localizing error 0.478 * * * [progress]: generating rewritten candidates 0.478 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.479 * * * [progress]: generating series expansions 0.479 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.480 * [approximate]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in (y x) around 0 0.480 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in x 0.480 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.480 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.480 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.480 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.480 * [taylor]: Taking taylor expansion of 2.0 in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.480 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.480 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.480 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.480 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.480 * [taylor]: Taking taylor expansion of 2.0 in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.481 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.481 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.481 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.481 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.481 * [taylor]: Taking taylor expansion of 2.0 in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.483 * [taylor]: Taking taylor expansion of 2.0 in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.487 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in (y x) around 0 0.487 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in x 0.487 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.488 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.488 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.488 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of 2.0 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 0.489 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.489 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.490 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.490 * [taylor]: Taking taylor expansion of 2.0 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 0.490 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.490 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.491 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.491 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.491 * [taylor]: Taking taylor expansion of 2.0 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of 1 in x 0.495 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.495 * [taylor]: Taking taylor expansion of 2.0 in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.500 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in (y x) around 0 0.500 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in x 0.500 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.500 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in x 0.500 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.501 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.501 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of 2.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 0.502 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.502 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.502 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.502 * [taylor]: Taking taylor expansion of -1 in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.503 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.503 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.503 * [taylor]: Taking taylor expansion of 2.0 in y 0.503 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.503 * [taylor]: Taking taylor expansion of -1 in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.503 * [taylor]: Taking taylor expansion of -1 in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.503 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.503 * [taylor]: Taking taylor expansion of -1 in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 0.504 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.504 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.504 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.504 * [taylor]: Taking taylor expansion of -1 in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.504 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.504 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.504 * [taylor]: Taking taylor expansion of 2.0 in y 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.504 * [taylor]: Taking taylor expansion of -1 in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.504 * [taylor]: Taking taylor expansion of -1 in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.505 * [taylor]: Taking taylor expansion of -1 in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of 2.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.513 * * * [progress]: simplifying candidates 0.513 * [simplify]: Simplifying using # : (expm1 (fma y (fma 2.0 x y) (pow x 2))) (log1p (fma y (fma 2.0 x y) (pow x 2))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (fma y (fma 2.0 x y) (pow x 2))) (cbrt (fma y (fma 2.0 x y) (pow x 2)))) (cbrt (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))) (fma y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (+ (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)))) 0.517 * * [simplify]: iteration 0 : 41 enodes (cost 68 ) 0.521 * * [simplify]: iteration 1 : 97 enodes (cost 52 ) 0.526 * * [simplify]: iteration 2 : 453 enodes (cost 52 ) 0.539 * * [simplify]: iteration 3 : 2426 enodes (cost 52 ) 0.622 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.623 * [simplify]: Simplified to: (expm1 (fma y (fma 2.0 x y) (pow x 2))) (log1p (fma y (fma 2.0 x y) (pow x 2))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (fma y (fma 2.0 x y) (pow x 2))) (cbrt (fma y (fma 2.0 x y) (pow x 2)))) (cbrt (fma y (fma 2.0 x y) (pow x 2))) (pow (fma y (fma 2.0 x y) (pow x 2)) 3) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (sqrt (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)) (fma y (fma 2.0 x y) (pow x 2)) 0.623 * * * [progress]: adding candidates to table 0.656 * [progress]: [Phase 3 of 3] Extracting. 0.656 * * [regime]: Finding splitpoints for: (# #) 0.657 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.657 * * * * [regimes]: Trying to branch on y from (# #) 0.670 * * * * [regimes]: Trying to branch on x from (# #) 0.683 * * * [regime]: Found split indices: #