16.988 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.045 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.048 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.050 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.053 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.056 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.056 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in (y x) around 0 0.071 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in x 0.071 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.071 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in x 0.071 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.071 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.071 * [taylor]: Taking taylor expansion of (* y 2.0) 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 x in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.072 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.072 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.072 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.072 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.072 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 2.0 in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.072 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.072 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.072 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.072 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.072 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 2.0 in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.075 * [taylor]: Taking taylor expansion of 2.0 in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1 in x 0.079 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in (y x) around 0 0.079 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in x 0.079 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.079 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.079 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.079 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 2.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.080 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.080 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.080 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.080 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.080 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 2.0 in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.082 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.082 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.082 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.082 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.082 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 2.0 in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 1 in x 0.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of 2.0 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [approximate]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in (y x) around 0 0.089 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in x 0.089 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.090 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.090 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.090 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.090 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.090 * [taylor]: Taking taylor expansion of -1 in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of 2.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.090 * [taylor]: Taking taylor expansion of -1 in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.090 * [taylor]: Taking taylor expansion of -1 in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.091 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.091 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.091 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.091 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.091 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.091 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 2.0 in y 0.091 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.092 * [taylor]: Taking taylor expansion of -1 in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.092 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.092 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.092 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.093 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.093 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.093 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.093 * [taylor]: Taking taylor expansion of -1 in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 2.0 in y 0.093 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.093 * [taylor]: Taking taylor expansion of -1 in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.093 * [taylor]: Taking taylor expansion of -1 in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 1 in x 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of 2.0 in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * * * [progress]: simplifying candidates 0.101 * [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)))) 0.104 * * [simplify]: iteration 0 : 42 enodes (cost 68 ) 0.107 * * [simplify]: iteration 1 : 104 enodes (cost 52 ) 0.110 * * [simplify]: iteration 2 : 467 enodes (cost 52 ) 0.124 * * [simplify]: iteration 3 : 2419 enodes (cost 52 ) 0.202 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.204 * [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)) 0.204 * * * [progress]: adding candidates to table 0.237 * * [progress]: iteration 2 / 4 0.237 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.247 * * * [progress]: generating rewritten candidates 0.247 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.250 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.264 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 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 (* 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) (* 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 (* 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 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 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 (* 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 0 in y 0.267 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.267 * [taylor]: Taking taylor expansion of 2.0 in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 1 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.276 * [taylor]: Taking taylor expansion of 2.0 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.276 * [taylor]: Taking taylor expansion of (* x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x 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 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.278 * [taylor]: Taking taylor expansion of 2.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.278 * [taylor]: Taking taylor expansion of (* x y) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.280 * [taylor]: Taking taylor expansion of 2.0 in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.292 * [taylor]: Taking taylor expansion of 2.0 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.292 * [taylor]: Taking taylor expansion of (* x y) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.293 * [taylor]: Taking taylor expansion of 2.0 in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.293 * [taylor]: Taking taylor expansion of (* x y) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.294 * [taylor]: Taking taylor expansion of 2.0 in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.294 * [taylor]: Taking taylor expansion of (* x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of 1 in y 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.296 * [taylor]: Taking taylor expansion of 2.0 in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.307 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.307 * [taylor]: Taking taylor expansion of 2.0 in y 0.307 * [taylor]: Taking taylor expansion of (* x y) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.308 * [taylor]: Taking taylor expansion of 2.0 in x 0.308 * [taylor]: Taking taylor expansion of (* x y) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.308 * [taylor]: Taking taylor expansion of 2.0 in x 0.308 * [taylor]: Taking taylor expansion of (* x y) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.309 * [taylor]: Taking taylor expansion of 2.0 in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of 1 in y 0.314 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.319 * [taylor]: Taking taylor expansion of 2.0 in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.319 * [taylor]: Taking taylor expansion of (* x y) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.320 * [taylor]: Taking taylor expansion of 2.0 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.320 * [taylor]: Taking taylor expansion of (* x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.321 * [taylor]: Taking taylor expansion of 2.0 in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.321 * [taylor]: Taking taylor expansion of (* x y) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of 1 in y 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.323 * [taylor]: Taking taylor expansion of 2.0 in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* 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 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.328 * [taylor]: Taking taylor expansion of 2.0 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.328 * [taylor]: Taking taylor expansion of (* x y) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.329 * [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 (* 2.0 (/ 1 (* x y))) in x 0.330 * [taylor]: Taking taylor expansion of 2.0 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.330 * [taylor]: Taking taylor expansion of (* x y) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* 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 (* 2.0 (/ 1 (* x y))) in x 0.331 * [taylor]: Taking taylor expansion of 2.0 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.332 * [taylor]: Taking taylor expansion of 1 in y 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.333 * [taylor]: Taking taylor expansion of 2.0 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.337 * * * [progress]: simplifying candidates 0.337 * [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)))) 0.342 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.350 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.381 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.383 * [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)) 0.383 * * * [progress]: adding candidates to table 0.472 * * [progress]: iteration 3 / 4 0.472 * * * [progress]: picking best candidate 0.473 * * * * [pick]: Picked # 0.473 * * * [progress]: localizing error 0.483 * * * [progress]: generating rewritten candidates 0.484 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.486 * * * [progress]: generating series expansions 0.486 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.487 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.487 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.487 * [taylor]: Taking taylor expansion of (* x x) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.487 * [taylor]: Taking taylor expansion of 2.0 in y 0.487 * [taylor]: Taking taylor expansion of (* x y) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.487 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.487 * [taylor]: Taking taylor expansion of (* x x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.487 * [taylor]: Taking taylor expansion of 2.0 in x 0.487 * [taylor]: Taking taylor expansion of (* x y) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.487 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.487 * [taylor]: Taking taylor expansion of (* x x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.487 * [taylor]: Taking taylor expansion of 2.0 in x 0.487 * [taylor]: Taking taylor expansion of (* x y) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.490 * [taylor]: Taking taylor expansion of 2.0 in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.494 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.495 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.495 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.495 * [taylor]: Taking taylor expansion of 2.0 in y 0.495 * [taylor]: Taking taylor expansion of (* x y) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.496 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.497 * [taylor]: Taking taylor expansion of 2.0 in x 0.497 * [taylor]: Taking taylor expansion of (* x y) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.497 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.497 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.498 * [taylor]: Taking taylor expansion of 2.0 in x 0.498 * [taylor]: Taking taylor expansion of (* x y) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of 1 in y 0.500 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.500 * [taylor]: Taking taylor expansion of 2.0 in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.505 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 0.505 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in y 0.505 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.505 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.505 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) 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 0.505 * [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 0.505 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.505 * [taylor]: Taking taylor expansion of 2.0 in y 0.505 * [taylor]: Taking taylor expansion of (* x y) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.507 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.507 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.507 * [taylor]: Taking taylor expansion of 2.0 in x 0.507 * [taylor]: Taking taylor expansion of (* x y) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.508 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.508 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.509 * [taylor]: Taking taylor expansion of 2.0 in x 0.509 * [taylor]: Taking taylor expansion of (* x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.512 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.512 * [taylor]: Taking taylor expansion of 2.0 in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.516 * * * [progress]: simplifying candidates 0.517 * [simplify]: Simplifying using # : (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) (+ (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)))) 0.521 * * [simplify]: iteration 0 : 113 enodes (cost 137 ) 0.525 * * [simplify]: iteration 1 : 428 enodes (cost 116 ) 0.534 * * [simplify]: iteration 2 : 1776 enodes (cost 104 ) 0.584 * * [simplify]: iteration 3 : 5002 enodes (cost 101 ) 0.585 * [simplify]: Simplified to: (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (fma y (fma 2.0 x y) (pow x 2))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (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 y (pow y 5) (pow (fma x x (* (* x 2.0) y)) 3)) (fma (fma x x (* (* x 2.0) y)) (- (fma x x (* (* x 2.0) y)) (* y y)) (pow y 4)) (* (fma y (fma 2.0 x y) (pow x 2)) (- (fma x x (* (* x 2.0) y)) (* y y))) (fma y (- (* x 2.0) y) (pow x 2)) (* (fma 2.0 x y) 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)) 0.585 * * * [progress]: adding candidates to table 0.638 * [progress]: [Phase 3 of 3] Extracting. 0.638 * * [regime]: Finding splitpoints for: (# # #) 0.639 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 0.639 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# # #) 0.654 * * * * [regimes]: Trying to branch on y from (# # #) 0.670 * * * * [regimes]: Trying to branch on x from (# # #) 0.683 * * * [regime]: Found split indices: #