8.133 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.016 * * [simplify]: iteration 1 : 18 enodes (cost 9 ) 0.019 * * [simplify]: iteration 2 : 47 enodes (cost 9 ) 0.026 * * [simplify]: iteration 3 : 102 enodes (cost 9 ) 0.042 * * [simplify]: iteration 4 : 159 enodes (cost 9 ) 0.062 * * [simplify]: iteration 5 : 182 enodes (cost 9 ) 0.084 * * [simplify]: iteration 6 : 190 enodes (cost 9 ) 0.106 * * [simplify]: iteration done : 190 enodes (cost 9 ) 0.106 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.106 * * [progress]: iteration 1 / 4 0.106 * * * [progress]: picking best candidate 0.107 * * * * [pick]: Picked # 0.107 * * * [progress]: localizing error 0.113 * * * [progress]: generating rewritten candidates 0.113 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.129 * * * [progress]: generating series expansions 0.129 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.129 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.129 * [taylor]: Taking taylor expansion of 0.5 in y 0.129 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.129 * [taylor]: Taking taylor expansion of (- x y) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (* x y) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.130 * [taylor]: Taking taylor expansion of 0.5 in x 0.130 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.130 * [taylor]: Taking taylor expansion of (- x y) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (* x y) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.130 * [taylor]: Taking taylor expansion of 0.5 in x 0.130 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.130 * [taylor]: Taking taylor expansion of (- x y) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (* x y) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of -0.5 in y 0.132 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of 0.5 in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.142 * [taylor]: Taking taylor expansion of 0.5 in y 0.142 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (* x y) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.142 * [taylor]: Taking taylor expansion of 0.5 in x 0.142 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (* x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.143 * [taylor]: Taking taylor expansion of 0.5 in x 0.143 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (* x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.145 * [taylor]: Taking taylor expansion of 0.5 in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.151 * [taylor]: Taking taylor expansion of 0.5 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.165 * [taylor]: Taking taylor expansion of 0.5 in y 0.165 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.166 * [taylor]: Taking taylor expansion of 0.5 in x 0.166 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.166 * [taylor]: Taking taylor expansion of 0.5 in x 0.166 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.169 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.169 * [taylor]: Taking taylor expansion of 0.5 in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0.5 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.186 * * * [progress]: simplifying candidates 0.186 * [simplify]: Simplifying using # : (expm1 (/ (- x y) (* (* x 2.0) y))) (log1p (/ (- x y) (* (* x 2.0) y))) (- (log (- x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (- x y)) (+ (log (* x 2.0)) (log y))) (- (log (- x y)) (log (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (* (* (/ (- x y) (* (* x 2.0) y)) (/ (- x y) (* (* x 2.0) y))) (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (- (- x y)) (- (* (* x 2.0) y)) (/ x (* (* x 2.0) y)) (/ y (* (* x 2.0) y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (- x y))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (* (* x 2.0) y) (+ (* x x) (+ (* y y) (* x y)))) (* (* (* x 2.0) y) (+ x y)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.189 * * [simplify]: iteration 0 : 84 enodes (cost 467 ) 0.203 * * [simplify]: iteration 1 : 241 enodes (cost 452 ) 0.253 * * [simplify]: iteration 2 : 932 enodes (cost 372 ) 0.557 * * [simplify]: iteration done : 5000 enodes (cost 370 ) 0.557 * [simplify]: Simplified to: (expm1 (/ (- x y) (* (* x 2.0) y))) (log1p (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (pow (/ (- x y) (* (* x 2.0) y)) 3) (pow (/ (- x y) (* (* x 2.0) y)) 3) (pow (/ (- x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (pow (/ (- x y) (* (* x 2.0) y)) 3) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (- (- x y)) (- (* (* x 2.0) y)) (/ (/ 1 2.0) y) (/ 1 (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (- x y))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (* (* x 2.0) y) (fma x x (* y (+ x y)))) (* (* (* x 2.0) y) (+ x y)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) 0.557 * * * [progress]: adding candidates to table 0.615 * * [progress]: iteration 2 / 4 0.615 * * * [progress]: picking best candidate 0.616 * * * * [pick]: Picked # 0.616 * * * [progress]: localizing error 0.624 * * * [progress]: generating rewritten candidates 0.624 * * * [progress]: generating series expansions 0.624 * * * [progress]: simplifying candidates 0.624 * [simplify]: Simplifying using # : 0.625 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.625 * * [simplify]: iteration done : 0 enodes (cost 0 ) 0.625 * [simplify]: Simplified to: 0.625 * * * [progress]: adding candidates to table 0.625 * [progress]: [Phase 3 of 3] Extracting. 0.627 * [simplify]: Simplifying using # : (- (/ 0.5 y) (/ 0.5 x)) 0.627 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.627 * * [simplify]: iteration done : 6 enodes (cost 7 ) 0.627 * [simplify]: Simplified to: (- (/ 0.5 y) (/ 0.5 x)) 0.987 * [regime-testing]: End program error score: 0.012574692149108785 1.005 * [regime-testing]: Target error score: 0.012574692149108785