18.716 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.026 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.028 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.034 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.034 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in (y x) around 0 0.046 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in x 0.046 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in x 0.046 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.046 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.046 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 2.0 in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.046 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.046 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.046 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.046 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 2.0 in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.046 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.046 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.047 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.047 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 2.0 in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.049 * [taylor]: Taking taylor expansion of 2.0 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of 1 in x 0.053 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in (y x) around 0 0.053 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in x 0.053 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.053 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.053 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 2.0 in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.054 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.054 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.054 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.054 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 2.0 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.055 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.055 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.056 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.056 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.056 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 2.0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1 in x 0.058 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of 2.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.063 * [approximate]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in (y x) around 0 0.063 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in x 0.063 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.063 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.063 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.063 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of 2.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.064 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.064 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.064 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.064 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.064 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 2.0 in y 0.065 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.065 * [taylor]: Taking taylor expansion of -1 in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.065 * [taylor]: Taking taylor expansion of -1 in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.065 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.065 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.065 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.065 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.065 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.065 * [taylor]: Taking taylor expansion of -1 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 2.0 in y 0.066 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.066 * [taylor]: Taking taylor expansion of -1 in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.066 * [taylor]: Taking taylor expansion of -1 in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1 in x 0.069 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.069 * [taylor]: Taking taylor expansion of 2.0 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * * * [progress]: simplifying candidates 0.074 * [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)))) 0.077 * * [simplify]: iteration 0 : 42 enodes (cost 68 ) 0.079 * * [simplify]: iteration 1 : 104 enodes (cost 52 ) 0.082 * * [simplify]: iteration 2 : 467 enodes (cost 52 ) 0.093 * * [simplify]: iteration 3 : 2419 enodes (cost 52 ) 0.166 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.167 * [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)) 0.167 * * * [progress]: adding candidates to table 0.198 * [progress]: [Phase 3 of 3] Extracting. 0.200 * [simplify]: Simplifying using # : (fma (fma y 2.0 x) x (* y y)) 0.201 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.201 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.873 * [regime-testing]: End program error score: 0.014096122953139577 0.891 * [regime-testing]: Target error score: 0.015383578838093817