12.949 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.019 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.020 * * [simplify]: iteration 1 : 48 enodes (cost 4 ) 0.022 * * [simplify]: iteration 2 : 106 enodes (cost 4 ) 0.024 * * [simplify]: iteration 3 : 174 enodes (cost 4 ) 0.026 * * [simplify]: iteration 4 : 198 enodes (cost 4 ) 0.029 * * [simplify]: iteration 5 : 203 enodes (cost 4 ) 0.031 * * [simplify]: iteration 6 : 203 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.049 * [taylor]: Taking taylor expansion of 0.5 in y 0.049 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.049 * [taylor]: Taking taylor expansion of (- x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (* x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.050 * [taylor]: Taking taylor expansion of 0.5 in x 0.050 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.050 * [taylor]: Taking taylor expansion of (- x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (* x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.051 * [taylor]: Taking taylor expansion of 0.5 in x 0.051 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.051 * [taylor]: Taking taylor expansion of (- x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (* x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of -0.5 in y 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of 0.5 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.062 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (* x y) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.063 * [taylor]: Taking taylor expansion of 0.5 in x 0.063 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (* x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.066 * [taylor]: Taking taylor expansion of 0.5 in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.069 * [taylor]: Taking taylor expansion of 0.5 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.083 * [taylor]: Taking taylor expansion of 0.5 in y 0.083 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.084 * [taylor]: Taking taylor expansion of 0.5 in x 0.084 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.084 * [taylor]: Taking taylor expansion of 0.5 in x 0.084 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.087 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.087 * [taylor]: Taking taylor expansion of 0.5 in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 0.5 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * * * [progress]: simplifying candidates 0.106 * [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))) 0.111 * * [simplify]: iteration 0 : 242 enodes (cost 218 ) 0.117 * * [simplify]: iteration 1 : 990 enodes (cost 181 ) 0.138 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.140 * [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))) 0.140 * * * [progress]: adding candidates to table 0.194 * * [progress]: iteration 2 / 4 0.194 * * * [progress]: picking best candidate 0.197 * * * * [pick]: Picked # 0.197 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.236 * * * [progress]: generating series expansions 0.236 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.236 * [approximate]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in (y x) around 0 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of 1 in x 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of 0 in x 0.241 * [taylor]: Taking taylor expansion of 0 in x 0.243 * [taylor]: Taking taylor expansion of 0 in x 0.243 * [approximate]: Taking taylor expansion of (- y x) in (y x) around 0 0.243 * [taylor]: Taking taylor expansion of (- y x) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (- y x) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (- y x) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (- x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [taylor]: Taking taylor expansion of 0 in x 0.246 * [taylor]: Taking taylor expansion of 0 in x 0.246 * [approximate]: Taking taylor expansion of (- x y) in (y x) around 0 0.246 * [taylor]: Taking taylor expansion of (- x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (- x y) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (- x y) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [taylor]: Taking taylor expansion of 0 in x 0.252 * [taylor]: Taking taylor expansion of 0 in x 0.252 * * * [progress]: simplifying candidates 0.256 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))))) (fma (- (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x))))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt 1) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) (sqrt x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))))) (fma (- (/ (cbrt 1) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) (* (/ (cbrt 1) (sqrt x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1)))) (fma (- (/ (cbrt 1) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt 1) (cbrt x))) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x))))) (fma (- (/ (sqrt 1) (sqrt x))) (/ (sqrt 1) (sqrt x)) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) x) (/ (sqrt 1) 1)))) (fma (- (/ (sqrt 1) x)) (/ (sqrt 1) 1) (* (/ (sqrt 1) x) (/ (sqrt 1) 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ 1 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ 1 (sqrt x))) (/ 1 (sqrt x)) (* (/ 1 (sqrt x)) (/ 1 (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) (/ 1 1)))) (fma (- (/ 1 x)) (/ 1 1) (* (/ 1 x) (/ 1 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) 1))) (fma (- (/ 1 x)) 1 (* (/ 1 x) 1)) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) 1))) (fma (- (/ 1 x)) 1 (* (/ 1 x) 1)) (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))))) (fma (- (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))) (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x))))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (fma (sqrt (/ 1 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0.272 * * [simplify]: iteration 0 : 632 enodes (cost 4575 ) 0.281 * * [simplify]: iteration 1 : 1668 enodes (cost 2587 ) 0.297 * * [simplify]: iteration 2 : 4521 enodes (cost 2326 ) 0.346 * * [simplify]: iteration 3 : 5001 enodes (cost 2232 ) 0.357 * [simplify]: Simplified to: (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (/ (- (/ 1 (cbrt x))) (* (cbrt x) (cbrt x))) 1 (pow (cbrt (/ 1 y)) 3)) (- (pow (/ 1 (cbrt x)) 3) (pow (/ 1 (cbrt x)) 3)) (fma (/ (- (/ 1 (sqrt x))) (sqrt x)) 1 (pow (cbrt (/ 1 y)) 3)) (* (/ 1 (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (/ (- (/ 1 (cbrt x))) (* (cbrt x) (cbrt x))) 1 (pow (cbrt (/ 1 y)) 3)) (- (pow (/ 1 (cbrt x)) 3) (pow (/ 1 (cbrt x)) 3)) (fma (/ (- (/ 1 (sqrt x))) (sqrt x)) 1 (pow (cbrt (/ 1 y)) 3)) (* (/ 1 (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 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x))) (* (cbrt (- (/ 1 y) (/ 1 x))) (cbrt (- (/ 1 y) (/ 1 x)))) (cbrt (- (/ 1 y) (/ 1 x))) (pow (- (/ 1 y) (/ 1 x)) 3) (sqrt (- (/ 1 y) (/ 1 x))) (sqrt (- (/ 1 y) (/ 1 x))) (fma (- 1) y x) (* y x) (- (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (fma (+ (/ 1 y) (/ 1 x)) (/ 1 x) (/ (/ 1 y) y)) (- (/ 1 x)) (+ (/ (- (/ 1 x)) x) (/ (/ 1 y) y)) (+ (/ 1 y) (/ 1 x)) (+ (sqrt (/ 1 y)) (sqrt (/ 1 x))) (- (sqrt (/ 1 y)) (sqrt (/ 1 x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) 0.358 * * * [progress]: adding candidates to table 0.473 * * [progress]: iteration 3 / 4 0.473 * * * [progress]: picking best candidate 0.476 * * * * [pick]: Picked # 0.476 * * * [progress]: localizing error 0.482 * * * [progress]: generating rewritten candidates 0.482 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.493 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.503 * * * [progress]: generating series expansions 0.503 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.503 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.503 * [taylor]: Taking taylor expansion of 0.5 in y 0.503 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.503 * [taylor]: Taking taylor expansion of (- x y) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (* x y) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.504 * [taylor]: Taking taylor expansion of 0.5 in x 0.504 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.504 * [taylor]: Taking taylor expansion of (- x y) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (* x y) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.505 * [taylor]: Taking taylor expansion of 0.5 in x 0.505 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.505 * [taylor]: Taking taylor expansion of (- x y) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (* x y) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of -0.5 in y 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.507 * [taylor]: Taking taylor expansion of 0.5 in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.516 * [taylor]: Taking taylor expansion of 0.5 in y 0.516 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (* x y) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.517 * [taylor]: Taking taylor expansion of 0.5 in x 0.517 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (* x y) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.517 * [taylor]: Taking taylor expansion of 0.5 in x 0.517 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (* x y) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.520 * [taylor]: Taking taylor expansion of 0.5 in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.522 * [taylor]: Taking taylor expansion of 0.5 in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.536 * [taylor]: Taking taylor expansion of 0.5 in y 0.536 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.537 * [taylor]: Taking taylor expansion of 0.5 in x 0.537 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.537 * [taylor]: Taking taylor expansion of 0.5 in x 0.537 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.540 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.540 * [taylor]: Taking taylor expansion of 0.5 in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of 0.5 in y 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.556 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.556 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in (x y) around 0 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in y 0.556 * [taylor]: Taking taylor expansion of 0.5 in y 0.556 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.556 * [taylor]: Taking taylor expansion of (- x y) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.557 * [taylor]: Taking taylor expansion of 0.5 in x 0.557 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.557 * [taylor]: Taking taylor expansion of (- x y) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.557 * [taylor]: Taking taylor expansion of 0.5 in x 0.557 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.557 * [taylor]: Taking taylor expansion of (- x y) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.557 * [taylor]: Taking taylor expansion of -0.5 in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 0.5 in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in y 0.565 * [taylor]: Taking taylor expansion of 0.5 in y 0.565 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.565 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.566 * [taylor]: Taking taylor expansion of 0.5 in x 0.566 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.566 * [taylor]: Taking taylor expansion of 0.5 in x 0.566 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of 0.5 in y 0.571 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.571 * [taylor]: Taking taylor expansion of 0.5 in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [approximate]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.582 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in y 0.582 * [taylor]: Taking taylor expansion of -0.5 in y 0.582 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.583 * [taylor]: Taking taylor expansion of -0.5 in x 0.583 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.583 * [taylor]: Taking taylor expansion of -0.5 in x 0.583 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [taylor]: Taking taylor expansion of 0.5 in y 0.589 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.589 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.589 * [taylor]: Taking taylor expansion of 0.5 in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.598 * * * [progress]: simplifying candidates 0.599 * [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))) 0.605 * * [simplify]: iteration 0 : 386 enodes (cost 623 ) 0.612 * * [simplify]: iteration 1 : 1500 enodes (cost 563 ) 0.637 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.640 * [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))) 0.641 * * * [progress]: adding candidates to table 0.793 * * [progress]: iteration 4 / 4 0.793 * * * [progress]: picking best candidate 0.794 * * * * [pick]: Picked # 0.794 * * * [progress]: localizing error 0.800 * * * [progress]: generating rewritten candidates 0.800 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.806 * * * [progress]: generating series expansions 0.806 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.806 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in (y x) around 0 0.806 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in x 0.806 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in x 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in x 0.806 * [taylor]: Taking taylor expansion of (/ y x) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in y 0.806 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in y 0.806 * [taylor]: Taking taylor expansion of 0.5 in y 0.807 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.807 * [taylor]: Taking taylor expansion of 0.5 in y 0.807 * [taylor]: Taking taylor expansion of (/ y x) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in y 0.807 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in y 0.807 * [taylor]: Taking taylor expansion of 0.5 in y 0.807 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.807 * [taylor]: Taking taylor expansion of 0.5 in y 0.807 * [taylor]: Taking taylor expansion of (/ y x) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of 0.5 in x 0.809 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 x))) in x 0.809 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of 0.5 in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of 0 in x 0.815 * [taylor]: Taking taylor expansion of 0 in x 0.819 * [taylor]: Taking taylor expansion of 0 in x 0.819 * [approximate]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in (y x) around 0 0.819 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in x 0.819 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in x 0.819 * [taylor]: Taking taylor expansion of 0.5 in x 0.819 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.819 * [taylor]: Taking taylor expansion of 0.5 in x 0.819 * [taylor]: Taking taylor expansion of (/ x y) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.819 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.819 * [taylor]: Taking taylor expansion of 0.5 in y 0.819 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.819 * [taylor]: Taking taylor expansion of 0.5 in y 0.819 * [taylor]: Taking taylor expansion of (/ x y) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.820 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.820 * [taylor]: Taking taylor expansion of 0.5 in y 0.820 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.820 * [taylor]: Taking taylor expansion of 0.5 in y 0.820 * [taylor]: Taking taylor expansion of (/ x y) in y 0.820 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of 0 in x 0.821 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.821 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.821 * [taylor]: Taking taylor expansion of 0.5 in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of 0.5 in x 0.829 * [taylor]: Taking taylor expansion of 0 in x 0.836 * [taylor]: Taking taylor expansion of 0 in x 0.836 * [approximate]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in (y x) around 0 0.836 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in x 0.836 * [taylor]: Taking taylor expansion of -1 in x 0.836 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in x 0.836 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in x 0.836 * [taylor]: Taking taylor expansion of 0.5 in x 0.836 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.836 * [taylor]: Taking taylor expansion of 0.5 in x 0.836 * [taylor]: Taking taylor expansion of (/ x y) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in y 0.836 * [taylor]: Taking taylor expansion of -1 in y 0.836 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.836 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.836 * [taylor]: Taking taylor expansion of 0.5 in y 0.836 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.836 * [taylor]: Taking taylor expansion of 0.5 in y 0.836 * [taylor]: Taking taylor expansion of (/ x y) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in y 0.837 * [taylor]: Taking taylor expansion of -1 in y 0.837 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.837 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.837 * [taylor]: Taking taylor expansion of 0.5 in y 0.837 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.837 * [taylor]: Taking taylor expansion of 0.5 in y 0.837 * [taylor]: Taking taylor expansion of (/ x y) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of 0 in x 0.839 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.839 * [taylor]: Taking taylor expansion of 0.5 in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.843 * [taylor]: Taking taylor expansion of 0.5 in x 0.847 * [taylor]: Taking taylor expansion of 0 in x 0.852 * [taylor]: Taking taylor expansion of 0 in x 0.853 * * * [progress]: simplifying candidates 0.853 * [simplify]: Simplifying using # : (expm1 (/ (- 0.5 (* 0.5 (/ y x))) y)) (log1p (/ (- 0.5 (* 0.5 (/ y x))) y)) (- (log (- 0.5 (* 0.5 (/ y x)))) (log y)) (log (/ (- 0.5 (* 0.5 (/ y x))) y)) (exp (/ (- 0.5 (* 0.5 (/ y x))) y)) (/ (* (* (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x)))) (- 0.5 (* 0.5 (/ y x)))) (* (* y y) y)) (* (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y))) (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (* (* (/ (- 0.5 (* 0.5 (/ y x))) y) (/ (- 0.5 (* 0.5 (/ y x))) y)) (/ (- 0.5 (* 0.5 (/ y x))) y)) (sqrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (sqrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (- (- 0.5 (* 0.5 (/ y x)))) (- y) (/ 0.5 y) (/ (* 0.5 (/ y x)) y) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (* (cbrt y) (cbrt y))) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt y)) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (sqrt y)) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) 1) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) y) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (* (cbrt y) (cbrt y))) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (cbrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) 1) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- 0.5 (* 0.5 (/ y x))) (cbrt y)) (/ 1 (sqrt y)) (/ (- 0.5 (* 0.5 (/ y x))) (sqrt y)) (/ 1 1) (/ (- 0.5 (* 0.5 (/ y x))) y) (/ 1 y) (/ y (- 0.5 (* 0.5 (/ y x)))) (/ (- 0.5 (* 0.5 (/ y x))) (* (cbrt y) (cbrt y))) (/ (- 0.5 (* 0.5 (/ y x))) (sqrt y)) (/ (- 0.5 (* 0.5 (/ y x))) 1) (/ y (cbrt (- 0.5 (* 0.5 (/ y x))))) (/ y (sqrt (- 0.5 (* 0.5 (/ y x))))) (/ y (- 0.5 (* 0.5 (/ y x)))) (* y (+ (* 0.5 0.5) (+ (* (* 0.5 (/ y x)) (* 0.5 (/ y x))) (* 0.5 (* 0.5 (/ y x)))))) (* y (+ 0.5 (* 0.5 (/ y x)))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.857 * * [simplify]: iteration 0 : 159 enodes (cost 252 ) 0.861 * * [simplify]: iteration 1 : 528 enodes (cost 234 ) 0.871 * * [simplify]: iteration 2 : 2233 enodes (cost 231 ) 0.910 * * [simplify]: iteration 3 : 5001 enodes (cost 230 ) 0.912 * [simplify]: Simplified to: (expm1 (/ (- 0.5 (* 0.5 (/ y x))) y)) (log1p (/ (- 0.5 (* 0.5 (/ y x))) y)) (log (/ (- 0.5 (* 0.5 (/ y x))) y)) (log (/ (- 0.5 (* 0.5 (/ y x))) y)) (exp (/ (- 0.5 (* 0.5 (/ y x))) y)) (pow (/ (- 0.5 (* 0.5 (/ y x))) y) 3) (* (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y))) (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (pow (/ (- 0.5 (* 0.5 (/ y x))) y) 3) (sqrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (sqrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (fma 0.5 (/ y x) (- 0.5)) (- y) (/ 0.5 y) (/ 0.5 x) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (* (cbrt y) (cbrt y))) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt y)) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (sqrt y)) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) y) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (* (cbrt y) (cbrt y))) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (cbrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (sqrt (- 0.5 (* 0.5 (/ y x)))) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- 0.5 (* 0.5 (/ y x))) (cbrt y)) (/ 1 (sqrt y)) (/ (- 0.5 (* 0.5 (/ y x))) (sqrt y)) 1 (* 0.5 (- (/ 1 y) (/ 1 x))) (/ 1 y) (/ y (- 0.5 (* 0.5 (/ y x)))) (/ (- 0.5 (* 0.5 (/ y x))) (* (cbrt y) (cbrt y))) (/ (- 0.5 (* 0.5 (/ y x))) (sqrt y)) (- 0.5 (* 0.5 (/ y x))) (/ y (cbrt (- 0.5 (* 0.5 (/ y x))))) (/ y (sqrt (- 0.5 (* 0.5 (/ y x))))) (/ y (- 0.5 (* 0.5 (/ y x)))) (fma 0.5 (* y 0.5) (* (* y (* 0.5 (/ y x))) (fma 0.5 (/ y x) 0.5))) (* y (+ 0.5 (* 0.5 (/ y x)))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.912 * * * [progress]: adding candidates to table 0.975 * [progress]: [Phase 3 of 3] Extracting. 0.975 * * [regime]: Finding splitpoints for: (# # #) 0.976 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.976 * * * * [regimes]: Trying to branch on y from (# # #) 0.987 * * * * [regimes]: Trying to branch on x from (# # #) 1.001 * * * [regime]: Found split indices: #