12.436 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.024 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.025 * * [simplify]: iteration 1 : 48 enodes (cost 4 ) 0.027 * * [simplify]: iteration 2 : 106 enodes (cost 4 ) 0.029 * * [simplify]: iteration 3 : 174 enodes (cost 4 ) 0.031 * * [simplify]: iteration 4 : 198 enodes (cost 4 ) 0.033 * * [simplify]: iteration 5 : 203 enodes (cost 4 ) 0.036 * * [simplify]: iteration 6 : 203 enodes (cost 4 ) 0.036 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.057 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.057 * [taylor]: Taking taylor expansion of 0.5 in y 0.058 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.058 * [taylor]: Taking taylor expansion of (- x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.058 * [taylor]: Taking taylor expansion of 0.5 in x 0.058 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.058 * [taylor]: Taking taylor expansion of (- x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of 0.5 in x 0.059 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (- x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of -0.5 in y 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of 0.5 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.071 * [taylor]: Taking taylor expansion of 0.5 in y 0.071 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.071 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (* x y) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of 0.5 in x 0.071 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.072 * [taylor]: Taking taylor expansion of 0.5 in x 0.072 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.072 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.074 * [taylor]: Taking taylor expansion of 0.5 in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.077 * [taylor]: Taking taylor expansion of 0.5 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.091 * [taylor]: Taking taylor expansion of 0.5 in y 0.091 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.092 * [taylor]: Taking taylor expansion of 0.5 in x 0.092 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.092 * [taylor]: Taking taylor expansion of 0.5 in x 0.092 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.095 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.095 * [taylor]: Taking taylor expansion of 0.5 in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 0.5 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.114 * * * [progress]: simplifying candidates 0.114 * [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))) 0.118 * * [simplify]: iteration 0 : 242 enodes (cost 218 ) 0.123 * * [simplify]: iteration 1 : 990 enodes (cost 181 ) 0.142 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.143 * [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 (fma y y (* x y))))) (* (* (* x 2.0) y) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.144 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.211 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.233 * * * [progress]: generating series expansions 0.233 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.233 * [approximate]: Taking taylor expansion of (/ 0.5 y) in (y) around 0 0.233 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.233 * [taylor]: Taking taylor expansion of 0.5 in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.234 * [taylor]: Taking taylor expansion of 0.5 in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.237 * [approximate]: Taking taylor expansion of (* 0.5 y) in (y) around 0 0.237 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.237 * [taylor]: Taking taylor expansion of 0.5 in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.237 * [taylor]: Taking taylor expansion of 0.5 in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.243 * [approximate]: Taking taylor expansion of (* -0.5 y) in (y) around 0 0.243 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.243 * [taylor]: Taking taylor expansion of -0.5 in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.243 * [taylor]: Taking taylor expansion of -0.5 in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.248 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.248 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 0.249 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.249 * [taylor]: Taking taylor expansion of 0.5 in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.249 * [taylor]: Taking taylor expansion of 0.5 in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.249 * [taylor]: Taking taylor expansion of 0.5 in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.250 * [taylor]: Taking taylor expansion of 0.5 in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of 0.5 in x 0.251 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 0.5 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of 0 in x 0.261 * [taylor]: Taking taylor expansion of 0 in x 0.265 * [taylor]: Taking taylor expansion of 0 in x 0.265 * [approximate]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in (y x) around 0 0.265 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in x 0.265 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.265 * [taylor]: Taking taylor expansion of 0.5 in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.265 * [taylor]: Taking taylor expansion of 0.5 in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.265 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.265 * [taylor]: Taking taylor expansion of 0.5 in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.265 * [taylor]: Taking taylor expansion of 0.5 in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.265 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.265 * [taylor]: Taking taylor expansion of 0.5 in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.265 * [taylor]: Taking taylor expansion of 0.5 in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.266 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.266 * [taylor]: Taking taylor expansion of 0.5 in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 0.5 in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.273 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [approximate]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in (y x) around 0 0.274 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in x 0.274 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.274 * [taylor]: Taking taylor expansion of 0.5 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.274 * [taylor]: Taking taylor expansion of 0.5 in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.275 * [taylor]: Taking taylor expansion of 0.5 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.277 * [taylor]: Taking taylor expansion of 0.5 in x 0.279 * [taylor]: Taking taylor expansion of 0 in x 0.282 * [taylor]: Taking taylor expansion of 0 in x 0.283 * * * [progress]: simplifying candidates 0.284 * [simplify]: Simplifying using # : (expm1 (/ 1 (* 2.0 y))) (log1p (/ 1 (* 2.0 y))) (- 1) (- 1) (- (+ (log 2.0) (log y))) (- (log (* 2.0 y))) (- 0 (+ (log 2.0) (log y))) (- 0 (log (* 2.0 y))) (- (log 1) (+ (log 2.0) (log y))) (- (log 1) (log (* 2.0 y))) (log (/ 1 (* 2.0 y))) (exp (/ 1 (* 2.0 y))) (/ (* (* 1 1) 1) (* (* (* 2.0 2.0) 2.0) (* (* y y) y))) (/ (* (* 1 1) 1) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 y))) (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (* (* (/ 1 (* 2.0 y)) (/ 1 (* 2.0 y))) (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- 1) (- (* 2.0 y)) (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (/ 1 2.0) (/ 1 y) (/ 1 (* 2.0 y)) (/ (* 2.0 y) 1) (/ 1 2.0) (/ (* 2.0 y) (cbrt 1)) (/ (* 2.0 y) (sqrt 1)) (/ (* 2.0 y) 1) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ 1 2.0) (/ 1 y) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (/ 1 2.0) (/ 1 y) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (/ 1 2.0) (/ 1 y) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (/ 1 2.0) (/ 1 y) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (/ 1 2.0) (/ 1 y) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (/ 1 2.0) (/ 1 y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ 1 2.0) (/ 1 y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma 1 (/ 1 (* 2.0 y)) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma 1 (/ 1 (* 2.0 y)) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma 1 (/ 1 (* 2.0 y)) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma 1 (/ 1 (* 2.0 y)) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (expm1 (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log1p (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (/ (exp (/ 1 (* 2.0 y))) (exp (/ 1 (* x 2.0)))) (log (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (* (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (* 1 (* x 2.0)) (* (* 2.0 y) 1)) (* (* 2.0 y) (* x 2.0)) (- (pow (/ 1 (* 2.0 y)) 3) (pow (/ 1 (* x 2.0)) 3)) (+ (* (/ 1 (* 2.0 y)) (/ 1 (* 2.0 y))) (+ (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (* (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (- (/ 1 (* x 2.0))) (- (* (/ 1 (* 2.0 y)) (/ 1 (* 2.0 y))) (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0)))) (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (+ (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (/ 0.5 y) (/ 0.5 y) (/ 0.5 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))) 0.292 * * [simplify]: iteration 0 : 365 enodes (cost 1394 ) 0.299 * * [simplify]: iteration 1 : 1360 enodes (cost 809 ) 0.323 * * [simplify]: iteration 2 : 5001 enodes (cost 807 ) 0.327 * [simplify]: Simplified to: (expm1 (/ 1 (* 2.0 y))) (log1p (/ 1 (* 2.0 y))) (- 1) (- 1) (log (/ 1 (* 2.0 y))) (log (/ 1 (* 2.0 y))) (log (/ 1 (* 2.0 y))) (log (/ 1 (* 2.0 y))) (log (/ 1 (* 2.0 y))) (log (/ 1 (* 2.0 y))) (log (/ 1 (* 2.0 y))) (exp (/ 1 (* 2.0 y))) (/ 1 (pow (* 2.0 y) 3)) (/ 1 (pow (* 2.0 y) 3)) (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (/ 1 (pow (* 2.0 y) 3)) (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- 1) (- (* 2.0 y)) (/ 1 2.0) (/ 1 y) (/ 1 2.0) (/ 1 y) (/ 1 2.0) (/ 1 y) (/ 1 (* 2.0 y)) (* 2.0 y) (/ 1 2.0) (* 2.0 y) (* 2.0 y) (* 2.0 y) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (* (* 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y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (* (/ 1 (* x 2.0)) (+ (- 1) 1)) (expm1 (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log1p (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (pow (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) 3) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* 2.0 (- x y)) (* (* 2.0 y) (* x 2.0)) (- (pow (/ 1 (* 2.0 y)) 3) (pow (/ 1 (* x 2.0)) 3)) (fma (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0)) (/ (/ 1 (* 2.0 y)) (* 2.0 y))) (- (/ 1 (* x 2.0))) (* (/ 1 2.0) (- (/ (/ 1 (* 2.0 y)) y) (/ (/ 1 (* x 2.0)) x))) (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (+ (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (/ 0.5 y) (/ 0.5 y) (/ 0.5 y) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.328 * * * [progress]: adding candidates to table 0.422 * * [progress]: iteration 3 / 4 0.422 * * * [progress]: picking best candidate 0.425 * * * * [pick]: Picked # 0.425 * * * [progress]: localizing error 0.431 * * * [progress]: generating rewritten candidates 0.431 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.442 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.458 * * * [progress]: generating series expansions 0.458 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.458 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.458 * [taylor]: Taking taylor expansion of 0.5 in y 0.458 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.458 * [taylor]: Taking taylor expansion of (- x y) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (* x y) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.459 * [taylor]: Taking taylor expansion of 0.5 in x 0.459 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.459 * [taylor]: Taking taylor expansion of (- x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (* x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.460 * [taylor]: Taking taylor expansion of 0.5 in x 0.460 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.460 * [taylor]: Taking taylor expansion of (- x y) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (* x y) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of -0.5 in y 0.462 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.462 * [taylor]: Taking taylor expansion of 0.5 in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.471 * [taylor]: Taking taylor expansion of 0.5 in y 0.471 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of (* x y) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.471 * [taylor]: Taking taylor expansion of 0.5 in x 0.471 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (* x y) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.472 * [taylor]: Taking taylor expansion of 0.5 in x 0.472 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (* x y) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.474 * [taylor]: Taking taylor expansion of 0.5 in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.477 * [taylor]: Taking taylor expansion of 0.5 in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.491 * [taylor]: Taking taylor expansion of 0.5 in y 0.491 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 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 (/ 1 x) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.491 * [taylor]: Taking taylor expansion of 0.5 in x 0.492 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.492 * [taylor]: Taking taylor expansion of 0.5 in x 0.492 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.495 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.495 * [taylor]: Taking taylor expansion of 0.5 in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 0.5 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.511 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.511 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in (x y) around 0 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in y 0.511 * [taylor]: Taking taylor expansion of 0.5 in y 0.511 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.511 * [taylor]: Taking taylor expansion of (- x y) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.511 * [taylor]: Taking taylor expansion of 0.5 in x 0.511 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.511 * [taylor]: Taking taylor expansion of (- x y) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.511 * [taylor]: Taking taylor expansion of 0.5 in x 0.511 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.512 * [taylor]: Taking taylor expansion of (- x y) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.512 * [taylor]: Taking taylor expansion of -0.5 in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 0.5 in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.519 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in y 0.519 * [taylor]: Taking taylor expansion of 0.5 in y 0.519 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.520 * [taylor]: Taking taylor expansion of 0.5 in x 0.520 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.520 * [taylor]: Taking taylor expansion of 0.5 in x 0.520 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of 0.5 in y 0.525 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.525 * [taylor]: Taking taylor expansion of 0.5 in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [approximate]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in y 0.538 * [taylor]: Taking taylor expansion of -0.5 in y 0.538 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of -0.5 in x 0.539 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of -0.5 in x 0.539 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.542 * [taylor]: Taking taylor expansion of 0.5 in y 0.544 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.544 * [taylor]: Taking taylor expansion of 0.5 in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.553 * * * [progress]: simplifying candidates 0.554 * [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) (* x 2.0))) (log 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 2.0)) (/ (- x y) (* x 2.0))) (/ (- x y) (* x 2.0))) (* (* y y) 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) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) 1) (/ (cbrt (/ (- x y) (* x 2.0))) y) (/ (sqrt (/ (- x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) 1) (/ (sqrt (/ (- x y) (* x 2.0))) y) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (- x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (sqrt y)) (/ (/ (cbrt (- x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) 1) (/ (/ (cbrt (- x y)) 2.0) y) (/ (/ (sqrt (- x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (- x y)) 2.0) (cbrt y)) (/ (/ (sqrt (- x y)) x) (sqrt y)) (/ (/ (sqrt (- x y)) 2.0) (sqrt y)) (/ (/ (sqrt (- x y)) x) 1) (/ (/ (sqrt (- x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (- x y) 2.0) y) (/ (/ (+ (sqrt x) (sqrt y)) x) (* (cbrt y) (cbrt y))) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (cbrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) (sqrt y)) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (sqrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) 1) (/ (/ (- (sqrt x) (sqrt y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (- x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (- x y) (* x 2.0)) y) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (- x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (- x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (- x y) (* x 2.0))) (/ (/ (- x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ (/ (- x y) (* x 2.0)) 1) (/ y (cbrt (/ (- x y) (* x 2.0)))) (/ y (sqrt (/ (- x y) (* x 2.0)))) (/ y (/ (cbrt (- x y)) 2.0)) (/ y (/ (sqrt (- x y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- (sqrt x) (sqrt y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (expm1 (/ (- x y) (* x 2.0))) (log1p (/ (- x y) (* x 2.0))) (- (log (- x y)) (+ (log x) (log 2.0))) (- (log (- x y)) (log (* x 2.0))) (log (/ (- x y) (* x 2.0))) (exp (/ (- x y) (* x 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (cbrt (/ (- x y) (* x 2.0))) (* (* (/ (- x y) (* x 2.0)) (/ (- x y) (* x 2.0))) (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (- (- x y)) (- (* x 2.0)) (/ x (* x 2.0)) (/ y (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (cbrt (- x y)) 2.0) (/ (sqrt (- x y)) x) (/ (sqrt (- x y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (- x y)) (/ (- x y) x) (/ (* x 2.0) (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- (sqrt x) (sqrt y))) (/ (* x 2.0) (- x y)) (* (* x 2.0) (+ (* x x) (+ (* y y) (* x y)))) (* (* x 2.0) (+ 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))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 0.560 * * [simplify]: iteration 0 : 386 enodes (cost 623 ) 0.566 * * [simplify]: iteration 1 : 1500 enodes (cost 563 ) 0.588 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.591 * [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 (* y 2.0)) (/ 1 (* x 2.0)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (- x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (/ (cbrt (/ (- x y) (* x 2.0))) y) (/ (sqrt (/ (- x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (- x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (sqrt y)) (/ (/ (cbrt (- x y)) 2.0) (sqrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (/ (cbrt (- x y)) 2.0) y) (/ (/ (sqrt (- x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (- x y)) 2.0) (cbrt y)) (/ (/ (sqrt (- x y)) x) (sqrt y)) (/ (/ (sqrt (- x y)) 2.0) (sqrt y)) (/ (sqrt (- x y)) x) (/ (/ (sqrt (- x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (- x y) 2.0) y) (/ (/ (+ (sqrt x) (sqrt y)) x) (* (cbrt y) (cbrt y))) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (cbrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) (sqrt y)) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) x) (/ (/ (- (sqrt x) (sqrt y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (- x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (- x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (- x y) (* x 2.0)) y) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (- x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (- x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (- x y) (* x 2.0))) (/ (/ (- x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ (- x y) (* x 2.0)) (/ y (cbrt (/ (- x y) (* x 2.0)))) (/ y (sqrt (/ (- x y) (* x 2.0)))) (/ y (/ (cbrt (- x y)) 2.0)) (/ y (/ (sqrt (- x y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- (sqrt x) (sqrt y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- x y) (* x 2.0))) (* y (* x 2.0)) (* y (* x 2.0)) (expm1 (/ (- x y) (* x 2.0))) (log1p (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (exp (/ (- x y) (* x 2.0))) (pow (/ (- x y) (* x 2.0)) 3) (pow (/ (- x y) (* x 2.0)) 3) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (cbrt (/ (- x y) (* x 2.0))) (pow (/ (- x y) (* x 2.0)) 3) (sqrt (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (- (- x y)) (- (* x 2.0)) (/ 1 2.0) (/ y (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (cbrt (- x y)) 2.0) (/ (sqrt (- x y)) x) (/ (sqrt (- x y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (- x y)) (/ (- x y) x) (/ (* x 2.0) (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- (sqrt x) (sqrt y))) (/ (* x 2.0) (- x y)) (* x (* 2.0 (fma x x (fma y y (* x y))))) (* (* x 2.0) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 0.592 * * * [progress]: adding candidates to table 0.750 * * [progress]: iteration 4 / 4 0.750 * * * [progress]: picking best candidate 0.751 * * * * [pick]: Picked # 0.751 * * * [progress]: localizing error 0.758 * * * [progress]: generating rewritten candidates 0.758 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.812 * * * [progress]: generating series expansions 0.813 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.813 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in (y x) around 0 0.813 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in x 0.813 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in x 0.813 * [taylor]: Taking taylor expansion of 0.5 in x 0.813 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.813 * [taylor]: Taking taylor expansion of 0.5 in x 0.814 * [taylor]: Taking taylor expansion of (/ y x) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in y 0.814 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in y 0.814 * [taylor]: Taking taylor expansion of 0.5 in y 0.814 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.814 * [taylor]: Taking taylor expansion of 0.5 in y 0.814 * [taylor]: Taking taylor expansion of (/ y x) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in y 0.815 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in y 0.815 * [taylor]: Taking taylor expansion of 0.5 in y 0.815 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.815 * [taylor]: Taking taylor expansion of 0.5 in y 0.815 * [taylor]: Taking taylor expansion of (/ y x) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of 0.5 in x 0.816 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 x))) in x 0.816 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.816 * [taylor]: Taking taylor expansion of 0.5 in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of 0 in x 0.823 * [taylor]: Taking taylor expansion of 0 in x 0.827 * [taylor]: Taking taylor expansion of 0 in x 0.828 * [approximate]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in (y x) around 0 0.828 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in x 0.828 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in x 0.828 * [taylor]: Taking taylor expansion of 0.5 in x 0.828 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.828 * [taylor]: Taking taylor expansion of 0.5 in x 0.828 * [taylor]: Taking taylor expansion of (/ x y) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.828 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.828 * [taylor]: Taking taylor expansion of 0.5 in y 0.828 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.828 * [taylor]: Taking taylor expansion of 0.5 in y 0.828 * [taylor]: Taking taylor expansion of (/ x y) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.828 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.828 * [taylor]: Taking taylor expansion of 0.5 in y 0.828 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.828 * [taylor]: Taking taylor expansion of 0.5 in y 0.828 * [taylor]: Taking taylor expansion of (/ x y) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of 0 in x 0.830 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.830 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.830 * [taylor]: Taking taylor expansion of 0.5 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of 0.5 in x 0.838 * [taylor]: Taking taylor expansion of 0 in x 0.842 * [taylor]: Taking taylor expansion of 0 in x 0.843 * [approximate]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in (y x) around 0 0.843 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in x 0.843 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in x 0.843 * [taylor]: Taking taylor expansion of 0.5 in x 0.843 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.843 * [taylor]: Taking taylor expansion of 0.5 in x 0.843 * [taylor]: Taking taylor expansion of (/ x y) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in y 0.843 * [taylor]: Taking taylor expansion of -1 in y 0.843 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.843 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.843 * [taylor]: Taking taylor expansion of 0.5 in y 0.843 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.843 * [taylor]: Taking taylor expansion of 0.5 in y 0.843 * [taylor]: Taking taylor expansion of (/ x y) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in y 0.843 * [taylor]: Taking taylor expansion of -1 in y 0.843 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.843 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.843 * [taylor]: Taking taylor expansion of 0.5 in y 0.844 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.844 * [taylor]: Taking taylor expansion of 0.5 in y 0.844 * [taylor]: Taking taylor expansion of (/ x y) in y 0.844 * [taylor]: Taking taylor expansion of x in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of 0 in x 0.846 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.846 * [taylor]: Taking taylor expansion of 0.5 in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.849 * [taylor]: Taking taylor expansion of 0.5 in x 0.855 * [taylor]: Taking taylor expansion of 0 in x 0.860 * [taylor]: Taking taylor expansion of 0 in x 0.860 * * * [progress]: simplifying candidates 0.861 * [simplify]: Simplifying using # : (expm1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (log1p (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (- (log (- (/ 1 2.0) (/ y (* x 2.0)))) (log y)) (log (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (exp (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (/ (* (* (- (/ 1 2.0) (/ y (* x 2.0))) (- (/ 1 2.0) (/ y (* x 2.0)))) (- (/ 1 2.0) (/ y (* x 2.0)))) (* (* y y) y)) (* (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y))) (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (* (* (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (sqrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (sqrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (- (- (/ 1 2.0) (/ y (* x 2.0)))) (- y) (/ (/ 1 2.0) y) (/ (/ y (* x 2.0)) y) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (* (cbrt y) (cbrt y))) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt y)) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (sqrt y)) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) 1) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) y) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) 1) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (/ 1 1) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) 1) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ (+ (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (+ (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) 1) (/ (- (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) 1) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (/ 1 1) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (/ 1 1) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ 1 y) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) 1) (/ y (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ y (sqrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ y (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (* y (* 2.0 (* x 2.0))) (* y (+ (* (/ 1 2.0) (/ 1 2.0)) (+ (* (/ y (* x 2.0)) (/ y (* x 2.0))) (* (/ 1 2.0) (/ y (* x 2.0)))))) (* y (+ (/ 1 2.0) (/ y (* x 2.0)))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.871 * * [simplify]: iteration 0 : 240 enodes (cost 527 ) 0.875 * * [simplify]: iteration 1 : 673 enodes (cost 505 ) 0.888 * * [simplify]: iteration 2 : 2377 enodes (cost 496 ) 0.925 * * [simplify]: iteration 3 : 5002 enodes (cost 493 ) 0.928 * [simplify]: Simplified to: (expm1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (log1p (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (log (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (log (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (exp (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (pow (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) 3) (* (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y))) (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (pow (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) 3) (sqrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (sqrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (- (- (/ 1 2.0) (/ y (* x 2.0)))) (- y) (/ (/ 1 2.0) y) (/ 1 (* x 2.0)) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (* (cbrt y) (cbrt y))) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt y)) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (sqrt y)) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) y) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) 1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) 1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) 1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ 1 y) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (- (/ 1 2.0) (/ y (* x 2.0))) (/ y (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ y (sqrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ y (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (* y (* 2.0 (* x 2.0))) (fma y (* (+ (/ y x) 1) (/ (/ y (* x 2.0)) 2.0)) (/ y (* 2.0 2.0))) (fma y (/ y (* x 2.0)) (/ y 2.0)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.928 * * * [progress]: adding candidates to table 1.019 * [progress]: [Phase 3 of 3] Extracting. 1.019 * * [regime]: Finding splitpoints for: (# #) 1.019 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.019 * * * * [regimes]: Trying to branch on y from (# #) 1.032 * * * * [regimes]: Trying to branch on x from (# #) 1.043 * * * [regime]: Found split indices: #