14.036 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.020 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.022 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.023 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.023 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.064 * [taylor]: Taking taylor expansion of (+ x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (* x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x 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 0.064 * [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 (* 0.5 (/ (+ x y) (* x y))) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.065 * [taylor]: Taking taylor expansion of (+ x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (* x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 0.5 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.075 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* y x) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of 0.5 in x 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* y x) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.076 * [taylor]: Taking taylor expansion of 0.5 in x 0.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* y x) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.078 * [taylor]: Taking taylor expansion of 0.5 in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0.5 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.090 * [taylor]: Taking taylor expansion of -0.5 in y 0.090 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [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 0.091 * [taylor]: Taking taylor expansion of (* y x) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.091 * [taylor]: Taking taylor expansion of -0.5 in x 0.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* y x) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.091 * [taylor]: Taking taylor expansion of -0.5 in x 0.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* y x) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.093 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.093 * [taylor]: Taking taylor expansion of 0.5 in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.095 * [taylor]: Taking taylor expansion of 0.5 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * * * [progress]: simplifying candidates 0.108 * [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)) (/ (* (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) (/ 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) (+ 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))) 0.112 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.116 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.137 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.139 * [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)) (/ (* (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) (/ 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) (+ x y)) (* (* (fma y (- y x) (* x x)) x) (* 2.0 y)) (* (* (* x 2.0) y) (- x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) 0.139 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.198 * * * [progress]: generating series expansions 0.198 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.198 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.198 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.198 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.198 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.198 * [taylor]: Taking taylor expansion of 0.5 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.199 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.199 * [taylor]: Taking taylor expansion of 0.5 in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.199 * [taylor]: Taking taylor expansion of 0.5 in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.199 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 0 in x 0.205 * [taylor]: Taking taylor expansion of 0 in x 0.207 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.208 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.208 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.208 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.208 * [taylor]: Taking taylor expansion of 0.5 in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.208 * [taylor]: Taking taylor expansion of 0.5 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.208 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.208 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.208 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.208 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.212 * [taylor]: Taking taylor expansion of 0 in x 0.214 * [taylor]: Taking taylor expansion of 0 in x 0.214 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.214 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.214 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.214 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.214 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.215 * [taylor]: Taking taylor expansion of -0.5 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.215 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.215 * [taylor]: Taking taylor expansion of 0.5 in y 0.215 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.215 * [taylor]: Taking taylor expansion of -1 in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.215 * [taylor]: Taking taylor expansion of -0.5 in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.215 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.215 * [taylor]: Taking taylor expansion of 0.5 in y 0.215 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.215 * [taylor]: Taking taylor expansion of -1 in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.215 * [taylor]: Taking taylor expansion of -0.5 in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.216 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.216 * [taylor]: Taking taylor expansion of 0.5 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.218 * [taylor]: Taking taylor expansion of 0.5 in x 0.223 * [taylor]: Taking taylor expansion of 0 in x 0.231 * [taylor]: Taking taylor expansion of 0 in x 0.232 * * * [progress]: simplifying candidates 0.233 * [simplify]: Simplifying using # : (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* 0.5 (/ 1 y)) (log (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (exp (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (* (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 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 (/ 1 y)) (* 0.5 (/ 1 x))) 0.238 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.240 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.244 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.257 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.295 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.296 * [simplify]: Simplified to: (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (/ 0.5 y) (log (fma (/ 0.5 y) 1 (/ 0.5 x))) (exp (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (pow (fma (/ 0.5 y) 1 (/ 0.5 x)) 3) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) 0.296 * * * [progress]: adding candidates to table 0.320 * * [progress]: iteration 3 / 4 0.320 * * * [progress]: picking best candidate 0.323 * * * * [pick]: Picked # 0.323 * * * [progress]: localizing error 0.329 * * * [progress]: generating rewritten candidates 0.329 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.381 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.402 * * * [progress]: generating series expansions 0.402 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.402 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.402 * [taylor]: Taking taylor expansion of 0.5 in y 0.402 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.402 * [taylor]: Taking taylor expansion of (+ x y) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (* x y) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.403 * [taylor]: Taking taylor expansion of 0.5 in x 0.403 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.403 * [taylor]: Taking taylor expansion of (+ x y) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (* x y) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.403 * [taylor]: Taking taylor expansion of 0.5 in x 0.403 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.403 * [taylor]: Taking taylor expansion of (+ x y) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (* x y) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 0.5 in y 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.407 * [taylor]: Taking taylor expansion of 0.5 in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.415 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.415 * [taylor]: Taking taylor expansion of 0.5 in y 0.415 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.416 * [taylor]: Taking taylor expansion of 0.5 in x 0.416 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.416 * [taylor]: Taking taylor expansion of 0.5 in x 0.416 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.418 * [taylor]: Taking taylor expansion of 0.5 in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of 0.5 in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.432 * [taylor]: Taking taylor expansion of -0.5 in y 0.432 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.432 * [taylor]: Taking taylor expansion of -0.5 in x 0.432 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.432 * [taylor]: Taking taylor expansion of -0.5 in x 0.432 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.435 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.435 * [taylor]: Taking taylor expansion of 0.5 in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.436 * [taylor]: Taking taylor expansion of 0.5 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.449 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.449 * [approximate]: Taking taylor expansion of (/ (+ x y) y) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.449 * [taylor]: Taking taylor expansion of (+ x y) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.449 * [taylor]: Taking taylor expansion of (+ x y) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.450 * [taylor]: Taking taylor expansion of (+ x y) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of 1 in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.452 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of 1 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.459 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.459 * [taylor]: Taking taylor expansion of x in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (* (+ (/ 1 y) (/ 1 x)) y) in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [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 y in y 0.461 * [taylor]: Taking taylor expansion of 1 in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.465 * * * [progress]: simplifying candidates 0.466 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (+ (- (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- 0 (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- 0 (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (log (* x 2.0))) (log (/ (+ x y) y))) (+ (log (/ 1 (* x 2.0))) (- (log (+ x y)) (log y))) (+ (log (/ 1 (* x 2.0))) (log (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* 1 (+ x y)) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y)))) (* (/ 1 (* x 2.0)) (sqrt (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) (+ x y)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (/ (cbrt 1) 2.0) (/ (+ x y) y)) (* (/ (sqrt 1) 2.0) (/ (+ x y) y)) (* (/ 1 2.0) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (+ x y)) (* 1 (/ (+ x y) y)) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (- (log (+ x y)) (log y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* y (+ (* x x) (- (* y y) (* x y)))) (* 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))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.472 * * [simplify]: iteration 0 : 449 enodes (cost 599 ) 0.482 * * [simplify]: iteration 1 : 2372 enodes (cost 505 ) 0.518 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 0.520 * [simplify]: Simplified to: (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (/ (/ (+ x y) y) (* x 2.0)) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (+ x y) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (/ (/ (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) 2.0) x) (/ (/ (sqrt (/ (+ x y) y)) 2.0) x) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (/ (sqrt (+ x y)) (sqrt y)) 2.0) x) (/ (sqrt (+ x y)) (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ x y) (* x 2.0)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) (* x 2.0)) (/ (/ (+ x y) y) (* x 2.0)) (/ (+ x y) (* x 2.0)) (/ (+ x y) y) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (log (/ (+ x y) y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* (fma x x (- (* y y) (* x y))) y) (* y (- x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.521 * * * [progress]: adding candidates to table 0.654 * * [progress]: iteration 4 / 4 0.654 * * * [progress]: picking best candidate 0.655 * * * * [pick]: Picked # 0.655 * * * [progress]: localizing error 0.660 * * * [progress]: generating rewritten candidates 0.660 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.688 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.708 * * * [progress]: generating series expansions 0.708 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.708 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* y x))) in (x y) around 0 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* y x))) in y 0.708 * [taylor]: Taking taylor expansion of 0.5 in y 0.708 * [taylor]: Taking taylor expansion of (/ (+ x y) (* y x)) in y 0.708 * [taylor]: Taking taylor expansion of (+ x y) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of (* y x) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* y x))) in x 0.709 * [taylor]: Taking taylor expansion of 0.5 in x 0.709 * [taylor]: Taking taylor expansion of (/ (+ x y) (* y x)) in x 0.709 * [taylor]: Taking taylor expansion of (+ x y) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (* y x) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* y x))) in x 0.709 * [taylor]: Taking taylor expansion of 0.5 in x 0.710 * [taylor]: Taking taylor expansion of (/ (+ x y) (* y x)) in x 0.710 * [taylor]: Taking taylor expansion of (+ x y) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of (* y x) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of 0.5 in y 0.711 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.711 * [taylor]: Taking taylor expansion of 0.5 in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.718 * [taylor]: Taking taylor expansion of 0.5 in y 0.718 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of (* y x) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.719 * [taylor]: Taking taylor expansion of 0.5 in x 0.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (* y x) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.719 * [taylor]: Taking taylor expansion of 0.5 in x 0.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (* y x) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.721 * [taylor]: Taking taylor expansion of 0.5 in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of 0.5 in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.733 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.733 * [taylor]: Taking taylor expansion of -0.5 in y 0.733 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (* y x) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.734 * [taylor]: Taking taylor expansion of -0.5 in x 0.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (* y x) in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.734 * [taylor]: Taking taylor expansion of -0.5 in x 0.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (* y x) in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.736 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.736 * [taylor]: Taking taylor expansion of 0.5 in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.738 * [taylor]: Taking taylor expansion of 0.5 in y 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.750 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.750 * [approximate]: Taking taylor expansion of (/ (+ x y) y) in (x y) around 0 0.750 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.750 * [taylor]: Taking taylor expansion of (+ x y) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.750 * [taylor]: Taking taylor expansion of (+ x y) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.750 * [taylor]: Taking taylor expansion of (+ x y) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of 1 in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of 1 in y 0.759 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.762 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of 1 in y 0.765 * [taylor]: Taking taylor expansion of 0 in y 0.766 * [taylor]: Taking taylor expansion of 0 in y 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.768 * * * [progress]: simplifying candidates 0.770 * [simplify]: Simplifying using # : (expm1 (/ (/ (+ x y) y) (* x 2.0))) (log1p (/ (/ (+ x y) y) (* x 2.0))) (- (- (log (+ x y)) (log y)) (+ (log x) (log 2.0))) (- (- (log (+ x y)) (log y)) (log (* x 2.0))) (- (log (/ (+ x y) y)) (+ (log x) (log 2.0))) (- (log (/ (+ x y) y)) (log (* x 2.0))) (log (/ (/ (+ x y) y) (* x 2.0))) (exp (/ (/ (+ x y) y) (* x 2.0))) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (/ (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (/ (+ x y) y) (* x 2.0))) (cbrt (/ (/ (+ x y) y) (* x 2.0)))) (cbrt (/ (/ (+ x y) y) (* x 2.0))) (* (* (/ (/ (+ x y) y) (* x 2.0)) (/ (/ (+ x y) y) (* x 2.0))) (/ (/ (+ x y) y) (* x 2.0))) (sqrt (/ (/ (+ x y) y) (* x 2.0))) (sqrt (/ (/ (+ x y) y) (* x 2.0))) (- (/ (+ x y) y)) (- (* x 2.0)) (/ (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) x) (/ (cbrt (/ (+ x y) y)) 2.0) (/ (sqrt (/ (+ x y) y)) x) (/ (sqrt (/ (+ x y) y)) 2.0) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) x) (/ (/ (cbrt (+ x y)) (cbrt y)) 2.0) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) x) (/ (/ (cbrt (+ x y)) (sqrt y)) 2.0) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) x) (/ (/ (cbrt (+ x y)) y) 2.0) (/ (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) x) (/ (/ (sqrt (+ x y)) (cbrt y)) 2.0) (/ (/ (sqrt (+ x y)) (sqrt y)) x) (/ (/ (sqrt (+ x y)) (sqrt y)) 2.0) (/ (/ (sqrt (+ x y)) 1) x) (/ (/ (sqrt (+ x y)) y) 2.0) (/ (/ 1 (* (cbrt y) (cbrt y))) x) (/ (/ (+ x y) (cbrt y)) 2.0) (/ (/ 1 (sqrt y)) x) (/ (/ (+ x y) (sqrt y)) 2.0) (/ (/ 1 1) x) (/ (/ (+ x y) y) 2.0) (/ (/ 1 (* (cbrt y) (cbrt y))) x) (/ (/ (+ x y) (cbrt y)) 2.0) (/ (/ 1 (sqrt y)) x) (/ (/ (+ x y) (sqrt y)) 2.0) (/ (/ 1 1) x) (/ (/ (+ x y) y) 2.0) (/ 1 x) (/ (/ (+ x y) y) 2.0) (/ (+ x y) x) (/ (/ 1 y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (/ (+ x y) y)) (/ (/ (+ x y) y) x) (/ (* x 2.0) (cbrt (/ (+ x y) y))) (/ (* x 2.0) (sqrt (/ (+ x y) y))) (/ (* x 2.0) (/ (cbrt (+ x y)) (cbrt y))) (/ (* x 2.0) (/ (cbrt (+ x y)) (sqrt y))) (/ (* x 2.0) (/ (cbrt (+ x y)) y)) (/ (* x 2.0) (/ (sqrt (+ x y)) (cbrt y))) (/ (* x 2.0) (/ (sqrt (+ x y)) (sqrt y))) (/ (* x 2.0) (/ (sqrt (+ x y)) y)) (/ (* x 2.0) (/ (+ x y) (cbrt y))) (/ (* x 2.0) (/ (+ x y) (sqrt y))) (/ (* x 2.0) (/ (+ x y) y)) (/ (* x 2.0) (/ (+ x y) (cbrt y))) (/ (* x 2.0) (/ (+ x y) (sqrt y))) (/ (* x 2.0) (/ (+ x y) y)) (/ (* x 2.0) (/ (+ x y) y)) (/ (* x 2.0) (/ 1 y)) (* (* x 2.0) y) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (- (log (+ x y)) (log y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* y (+ (* x x) (- (* y y) (* x y)))) (* 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))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.775 * * [simplify]: iteration 0 : 335 enodes (cost 548 ) 0.781 * * [simplify]: iteration 1 : 1236 enodes (cost 490 ) 0.803 * * [simplify]: iteration 2 : 5001 enodes (cost 487 ) 0.805 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) y) (* x 2.0))) (log1p (/ (/ (+ x y) y) (* x 2.0))) (log (/ (/ (+ x y) y) (* x 2.0))) (log (/ (/ (+ x y) y) (* x 2.0))) (log (/ (/ (+ x y) y) (* x 2.0))) (log (/ (/ (+ x y) y) (* x 2.0))) (log (/ (/ (+ x y) y) (* x 2.0))) (exp (/ (/ (+ x y) y) (* x 2.0))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (* (cbrt (/ (/ (+ x y) y) (* x 2.0))) (cbrt (/ (/ (+ x y) y) (* x 2.0)))) (cbrt (/ (/ (+ x y) y) (* x 2.0))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (sqrt (/ (/ (+ x y) y) (* x 2.0))) (sqrt (/ (/ (+ x y) y) (* x 2.0))) (- (/ (+ x y) y)) (- (* x 2.0)) (/ (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) x) (/ (cbrt (/ (+ x y) y)) 2.0) (/ (sqrt (/ (+ x y) y)) x) (/ (sqrt (/ (+ x y) y)) 2.0) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) x) (/ (/ (cbrt (+ x y)) (cbrt y)) 2.0) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) x) (/ (/ (cbrt (+ x y)) (sqrt y)) 2.0) (/ (cbrt (+ x y)) (/ x (cbrt (+ x y)))) (/ (/ (cbrt (+ x y)) y) 2.0) (/ (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) x) (/ (/ (sqrt (+ x y)) (cbrt y)) 2.0) (/ (/ (sqrt (+ x y)) (sqrt y)) x) (/ (/ (sqrt (+ x y)) (sqrt y)) 2.0) (/ (sqrt (+ x y)) x) (/ (/ (sqrt (+ x y)) y) 2.0) (/ (/ 1 (* (cbrt y) (cbrt y))) x) (/ (/ (+ x y) (cbrt y)) 2.0) (/ (/ 1 (sqrt y)) x) (/ (/ (+ x y) (sqrt y)) 2.0) (/ 1 x) (/ (/ (+ x y) y) 2.0) (/ (/ 1 (* (cbrt y) (cbrt y))) x) (/ (/ (+ x y) (cbrt y)) 2.0) (/ (/ 1 (sqrt y)) x) (/ (/ (+ x y) (sqrt y)) 2.0) (/ 1 x) (/ (/ (+ x y) y) 2.0) (/ 1 x) (/ (/ (+ x y) y) 2.0) (/ (+ x y) x) (/ (/ 1 y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (/ (+ x y) y)) (/ (/ (+ x y) y) x) (/ (* x 2.0) (cbrt (/ (+ x y) y))) (/ (* x 2.0) (sqrt (/ (+ x y) y))) (/ (* x 2.0) (/ (cbrt (+ x y)) (cbrt y))) (/ (* x 2.0) (/ (cbrt (+ x y)) (sqrt y))) (/ (* x 2.0) (/ (cbrt (+ x y)) y)) (/ (* x 2.0) (/ (sqrt (+ x y)) (cbrt y))) (/ (* x 2.0) (/ (sqrt (+ x y)) (sqrt y))) (/ (* x 2.0) (/ (sqrt (+ x y)) y)) (/ (* x 2.0) (/ (+ x y) (cbrt y))) (/ (* x 2.0) (/ (+ x y) (sqrt y))) (/ (* x 2.0) (/ (+ x y) y)) (/ (* x 2.0) (/ (+ x y) (cbrt y))) (/ (* x 2.0) (/ (+ x y) (sqrt y))) (/ (* x 2.0) (/ (+ x y) y)) (/ (* x 2.0) (/ (+ x y) y)) (* (* x 2.0) y) (* (* x 2.0) y) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (log (/ (+ x y) y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* (fma x x (- (* y y) (* x y))) y) (* y (- x y)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.806 * * * [progress]: adding candidates to table 0.946 * [progress]: [Phase 3 of 3] Extracting. 0.946 * * [regime]: Finding splitpoints for: (# # #) 0.946 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.946 * * * * [regimes]: Trying to branch on y from (# # #) 0.958 * * * * [regimes]: Trying to branch on x from (# # #) 0.969 * * * [regime]: Found split indices: #