18.912 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (* (* x 2.0) y) (- x y)) 0.017 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 36 enodes (cost 4 ) 0.021 * * [simplify]: iteration 2 : 73 enodes (cost 4 ) 0.023 * * [simplify]: iteration 3 : 127 enodes (cost 4 ) 0.025 * * [simplify]: iteration 4 : 167 enodes (cost 4 ) 0.028 * * [simplify]: iteration 5 : 185 enodes (cost 4 ) 0.031 * * [simplify]: iteration 6 : 187 enodes (cost 4 ) 0.033 * * [simplify]: iteration 7 : 187 enodes (cost 4 ) 0.033 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.053 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.053 * [taylor]: Taking taylor expansion of 2.0 in y 0.053 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.053 * [taylor]: Taking taylor expansion of (* x y) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (- x y) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.054 * [taylor]: Taking taylor expansion of 2.0 in x 0.054 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (- x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.055 * [taylor]: Taking taylor expansion of 2.0 in x 0.055 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (- x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of -2.0 in y 0.057 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.057 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of 2.0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.061 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.067 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.067 * [taylor]: Taking taylor expansion of 2.0 in y 0.067 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* x y) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.069 * [taylor]: Taking taylor expansion of 2.0 in x 0.069 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.069 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (* x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.082 * [taylor]: Taking taylor expansion of 2.0 in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.090 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.090 * [taylor]: Taking taylor expansion of y 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 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in x 0.092 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.100 * [taylor]: Taking taylor expansion of -2.0 in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.103 * [taylor]: Taking taylor expansion of 2.0 in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.109 * [taylor]: Taking taylor expansion of 2.0 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.117 * * * [progress]: simplifying candidates 0.117 * [simplify]: Simplifying using # : (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- 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))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) 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)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (* (* (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- x y))) (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) 1) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) 1) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.122 * * [simplify]: iteration 0 : 214 enodes (cost 194 ) 0.127 * * [simplify]: iteration 1 : 1150 enodes (cost 161 ) 0.153 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.155 * [simplify]: Simplified to: (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (* x 2.0) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (* x 2.0) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (* (* x 2.0) y) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (* (* x 2.0) y) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.155 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.237 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.237 * [taylor]: Taking taylor expansion of 2.0 in y 0.237 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.237 * [taylor]: Taking taylor expansion of (* x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (- x y) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.238 * [taylor]: Taking taylor expansion of 2.0 in x 0.238 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.238 * [taylor]: Taking taylor expansion of (* x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (- x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.239 * [taylor]: Taking taylor expansion of 2.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.239 * [taylor]: Taking taylor expansion of (* x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (- x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of -2.0 in y 0.241 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.241 * [taylor]: Taking taylor expansion of 2.0 in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.245 * [taylor]: Taking taylor expansion of 2.0 in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.251 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.251 * [taylor]: Taking taylor expansion of 2.0 in y 0.251 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (* x y) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.253 * [taylor]: Taking taylor expansion of 2.0 in x 0.253 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.253 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (* x y) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.255 * [taylor]: Taking taylor expansion of 2.0 in x 0.255 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (* x y) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.257 * [taylor]: Taking taylor expansion of 2.0 in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.260 * [taylor]: Taking taylor expansion of 2.0 in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.269 * [taylor]: Taking taylor expansion of 2.0 in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.277 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.277 * [taylor]: Taking taylor expansion of 2.0 in y 0.277 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.279 * [taylor]: Taking taylor expansion of 2.0 in x 0.279 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.281 * [taylor]: Taking taylor expansion of 2.0 in x 0.281 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.283 * [taylor]: Taking taylor expansion of -2.0 in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.286 * [taylor]: Taking taylor expansion of 2.0 in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.292 * [taylor]: Taking taylor expansion of 2.0 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.300 * * * [progress]: simplifying candidates 0.301 * [simplify]: Simplifying using # : (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (+ (+ (log x) (log 2.0)) (- (log y) (log (- x y)))) (+ (+ (log x) (log 2.0)) (log (/ y (- x y)))) (+ (log (* x 2.0)) (- (log y) (log (- x y)))) (+ (log (* x 2.0)) (log (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ 1 (sqrt (- x y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) (/ 1 (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) 1) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) 0 0 0 0.306 * * [simplify]: iteration 0 : 283 enodes (cost 258 ) 0.314 * * [simplify]: iteration 1 : 1537 enodes (cost 217 ) 0.346 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.347 * [simplify]: Simplified to: (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* x (* 2.0 (* (cbrt y) (cbrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* x (* 2.0 (* (cbrt y) (cbrt y)))) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* x (* 2.0 (sqrt y))) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* x (* 2.0 (sqrt y))) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (sqrt (- x y))) (* x 2.0) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (* x 2.0) (* x 2.0) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) 0 0 0 0.348 * * * [progress]: adding candidates to table 0.408 * * [progress]: iteration 3 / 4 0.408 * * * [progress]: picking best candidate 0.411 * * * * [pick]: Picked # 0.411 * * * [progress]: localizing error 0.417 * * * [progress]: generating rewritten candidates 0.417 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.426 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.441 * * * [progress]: generating series expansions 0.441 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.441 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.441 * [taylor]: Taking taylor expansion of 2.0 in y 0.441 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.441 * [taylor]: Taking taylor expansion of (* x y) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (- x y) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.442 * [taylor]: Taking taylor expansion of 2.0 in x 0.442 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.442 * [taylor]: Taking taylor expansion of (* x y) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (- x y) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.443 * [taylor]: Taking taylor expansion of 2.0 in x 0.443 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.443 * [taylor]: Taking taylor expansion of (* x y) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (- x y) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of -2.0 in y 0.445 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.445 * [taylor]: Taking taylor expansion of 2.0 in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.448 * [taylor]: Taking taylor expansion of 2.0 in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.454 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.454 * [taylor]: Taking taylor expansion of 2.0 in y 0.454 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.454 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (* x y) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.456 * [taylor]: Taking taylor expansion of 2.0 in x 0.456 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of (* x y) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.458 * [taylor]: Taking taylor expansion of 2.0 in x 0.458 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (* x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.460 * [taylor]: Taking taylor expansion of 2.0 in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of 2.0 in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.469 * [taylor]: Taking taylor expansion of 2.0 in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.469 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.477 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.477 * [taylor]: Taking taylor expansion of 2.0 in y 0.477 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.479 * [taylor]: Taking taylor expansion of 2.0 in x 0.479 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.481 * [taylor]: Taking taylor expansion of 2.0 in x 0.481 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.483 * [taylor]: Taking taylor expansion of -2.0 in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.486 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of 2.0 in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.492 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.492 * [taylor]: Taking taylor expansion of 2.0 in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.500 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.500 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 0.500 * [taylor]: Taking taylor expansion of (- x y) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.500 * [taylor]: Taking taylor expansion of (- x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.500 * [taylor]: Taking taylor expansion of (- x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of -1 in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.504 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (- 1) in y 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [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 (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.516 * [taylor]: Taking taylor expansion of -1 in y 0.516 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 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 (/ 1 x) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 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 (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 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 (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (- 1) in y 0.520 * [taylor]: Taking taylor expansion of 1 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.527 * * * [progress]: simplifying candidates 0.529 * [simplify]: Simplifying using # : (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* 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))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y 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)) (/ (* (* (- 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))) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (* (* (/ (* x 2.0) (/ (- x y) y)) (/ (* x 2.0) (/ (- x y) y))) (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 1)) (/ 2.0 (/ (sqrt (- x y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 1)) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x 1) (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (/ 2.0 (/ 1 y)) (/ 1 (/ (- x y) y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (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))) 1)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ (* x 2.0) (/ (sqrt (- x y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) 1) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x 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) (/ x y) (/ 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) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt 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 (- (sqrt x) (sqrt y))) (/ y (- x y)) (* y (+ (* x x) (+ (* y y) (* x y)))) (* y (+ x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.535 * * [simplify]: iteration 0 : 392 enodes (cost 620 ) 0.544 * * [simplify]: iteration 1 : 1920 enodes (cost 563 ) 0.579 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.582 * [simplify]: Simplified to: (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (sqrt (- x y))) (/ 2.0 (/ (sqrt (- x y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) x (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (* y 2.0) (/ y (- x y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 2.0)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 2.0)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 2.0)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (* x 2.0) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (log (/ (- x y) y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (pow (- (/ x y) 1) 3) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (pow (- (/ x y) 1) 3) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) 1 (/ (* (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) 1) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (- (/ (sqrt x) (sqrt y)) 1) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ 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 (- (sqrt x) (sqrt y))) (/ y (- x y)) (* (fma x x (fma y y (* x y))) y) (fma y y (* x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.583 * * * [progress]: adding candidates to table 0.773 * * [progress]: iteration 4 / 4 0.773 * * * [progress]: picking best candidate 0.775 * * * * [pick]: Picked # 0.775 * * * [progress]: localizing error 0.781 * * * [progress]: generating rewritten candidates 0.781 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.801 * * * [progress]: generating series expansions 0.801 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.801 * [approximate]: Taking taylor expansion of (* 2.0 (/ x (- (/ x y) 1))) in (x y) around 0 0.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- (/ x y) 1))) in y 0.801 * [taylor]: Taking taylor expansion of 2.0 in y 0.801 * [taylor]: Taking taylor expansion of (/ x (- (/ x y) 1)) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of (- (/ x y) 1) in y 0.801 * [taylor]: Taking taylor expansion of (/ x y) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of 1 in y 0.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- (/ x y) 1))) in x 0.801 * [taylor]: Taking taylor expansion of 2.0 in x 0.801 * [taylor]: Taking taylor expansion of (/ x (- (/ x y) 1)) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (- (/ x y) 1) in x 0.801 * [taylor]: Taking taylor expansion of (/ x y) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of 1 in x 0.802 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- (/ x y) 1))) in x 0.802 * [taylor]: Taking taylor expansion of 2.0 in x 0.802 * [taylor]: Taking taylor expansion of (/ x (- (/ x y) 1)) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (- (/ x y) 1) in x 0.803 * [taylor]: Taking taylor expansion of (/ x y) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of 1 in x 0.804 * [taylor]: Taking taylor expansion of -2.0 in y 0.805 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.805 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.805 * [taylor]: Taking taylor expansion of 2.0 in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.808 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.808 * [taylor]: Taking taylor expansion of 2.0 in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.814 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (- (/ y x) 1))) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (- (/ y x) 1))) in y 0.814 * [taylor]: Taking taylor expansion of 2.0 in y 0.814 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in y 0.814 * [taylor]: Taking taylor expansion of (/ y x) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of 1 in y 0.814 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (- (/ y x) 1))) in x 0.814 * [taylor]: Taking taylor expansion of 2.0 in x 0.814 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in x 0.814 * [taylor]: Taking taylor expansion of (/ y x) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of 1 in x 0.816 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (- (/ y x) 1))) in x 0.816 * [taylor]: Taking taylor expansion of 2.0 in x 0.816 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in x 0.816 * [taylor]: Taking taylor expansion of (/ y x) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of 1 in x 0.817 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.817 * [taylor]: Taking taylor expansion of 2.0 in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.820 * [taylor]: Taking taylor expansion of 2.0 in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.826 * [taylor]: Taking taylor expansion of 2.0 in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.834 * [approximate]: Taking taylor expansion of (/ -2.0 (* x (- (/ y x) 1))) in (x y) around 0 0.834 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ y x) 1))) in y 0.834 * [taylor]: Taking taylor expansion of -2.0 in y 0.834 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in y 0.834 * [taylor]: Taking taylor expansion of x in y 0.834 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in y 0.834 * [taylor]: Taking taylor expansion of (/ y x) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of x in y 0.834 * [taylor]: Taking taylor expansion of 1 in y 0.835 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ y x) 1))) in x 0.835 * [taylor]: Taking taylor expansion of -2.0 in x 0.835 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in x 0.835 * [taylor]: Taking taylor expansion of (/ y x) in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of 1 in x 0.837 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ y x) 1))) in x 0.837 * [taylor]: Taking taylor expansion of -2.0 in x 0.837 * [taylor]: Taking taylor expansion of (* x (- (/ y x) 1)) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (- (/ y x) 1) in x 0.837 * [taylor]: Taking taylor expansion of (/ y x) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of 1 in x 0.838 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.838 * [taylor]: Taking taylor expansion of -2.0 in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.842 * [taylor]: Taking taylor expansion of 2.0 in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.848 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.848 * [taylor]: Taking taylor expansion of 2.0 in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.848 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.856 * * * [progress]: simplifying candidates 0.857 * [simplify]: Simplifying using # : (expm1 (/ (* x 2.0) (- (/ x y) 1))) (log1p (/ (* x 2.0) (- (/ x y) 1))) (- (+ (log x) (log 2.0)) (log (- (/ x y) 1))) (- (log (* x 2.0)) (log (- (/ x y) 1))) (log (/ (* x 2.0) (- (/ x y) 1))) (exp (/ (* x 2.0) (- (/ x y) 1))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (- (/ x y) 1) (- (/ x y) 1)) (- (/ x y) 1))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (- (/ x y) 1) (- (/ x y) 1)) (- (/ x y) 1))) (* (cbrt (/ (* x 2.0) (- (/ x y) 1))) (cbrt (/ (* x 2.0) (- (/ x y) 1)))) (cbrt (/ (* x 2.0) (- (/ x y) 1))) (* (* (/ (* x 2.0) (- (/ x y) 1)) (/ (* x 2.0) (- (/ x y) 1))) (/ (* x 2.0) (- (/ x y) 1))) (sqrt (/ (* x 2.0) (- (/ x y) 1))) (sqrt (/ (* x 2.0) (- (/ x y) 1))) (- (* x 2.0)) (- (- (/ x y) 1)) (/ x (* (cbrt (- (/ x y) 1)) (cbrt (- (/ x y) 1)))) (/ 2.0 (cbrt (- (/ x y) 1))) (/ x (sqrt (- (/ x y) 1))) (/ 2.0 (sqrt (- (/ x y) 1))) (/ x 1) (/ 2.0 (- (/ x y) 1)) (/ x (+ (sqrt (/ x y)) (sqrt 1))) (/ 2.0 (- (sqrt (/ x y)) (sqrt 1))) (/ x (+ (sqrt (/ x y)) 1)) (/ 2.0 (- (sqrt (/ x y)) 1)) (/ x (+ (/ (sqrt x) (sqrt y)) (sqrt 1))) (/ 2.0 (- (/ (sqrt x) (sqrt y)) (sqrt 1))) (/ x (+ (/ (sqrt x) (sqrt y)) 1)) (/ 2.0 (- (/ (sqrt x) (sqrt y)) 1)) (/ x (+ (sqrt (/ x y)) 1)) (/ 2.0 (- (sqrt (/ x y)) 1)) (/ x (+ (/ (sqrt x) (sqrt y)) 1)) (/ 2.0 (- (/ (sqrt x) (sqrt y)) 1)) (/ x 1) (/ 2.0 (- (/ x y) 1)) (/ 1 (- (/ x y) 1)) (/ (- (/ x y) 1) (* x 2.0)) (/ (* x 2.0) (* (cbrt (- (/ x y) 1)) (cbrt (- (/ x y) 1)))) (/ (* x 2.0) (sqrt (- (/ x y) 1))) (/ (* x 2.0) 1) (/ (* x 2.0) (+ (sqrt (/ x y)) (sqrt 1))) (/ (* x 2.0) (+ (sqrt (/ x y)) 1)) (/ (* x 2.0) (+ (/ (sqrt x) (sqrt y)) (sqrt 1))) (/ (* x 2.0) (+ (/ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) (+ (sqrt (/ x y)) 1)) (/ (* x 2.0) (+ (/ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) 1) (/ (- (/ x y) 1) 2.0) (/ (* x 2.0) (- (pow (/ x y) 3) (pow 1 3))) (/ (* x 2.0) (- (* (/ x y) (/ x y)) (* 1 1))) 0 0 0 0.862 * * [simplify]: iteration 0 : 204 enodes (cost 259 ) 0.867 * * [simplify]: iteration 1 : 859 enodes (cost 226 ) 0.886 * * [simplify]: iteration 2 : 3910 enodes (cost 226 ) 0.941 * * [simplify]: iteration 3 : 5001 enodes (cost 226 ) 0.942 * [simplify]: Simplified to: (expm1 (/ (* x 2.0) (- (/ x y) 1))) (log1p (/ (* x 2.0) (- (/ x y) 1))) (log (/ (* x 2.0) (- (/ x y) 1))) (log (/ (* x 2.0) (- (/ x y) 1))) (log (/ (* x 2.0) (- (/ x y) 1))) (exp (/ (* x 2.0) (- (/ x y) 1))) (pow (/ (* x 2.0) (- (/ x y) 1)) 3) (pow (/ (* x 2.0) (- (/ x y) 1)) 3) (* (cbrt (/ (* x 2.0) (- (/ x y) 1))) (cbrt (/ (* x 2.0) (- (/ x y) 1)))) (cbrt (/ (* x 2.0) (- (/ x y) 1))) (pow (/ (* x 2.0) (- (/ x y) 1)) 3) (sqrt (/ (* x 2.0) (- (/ x y) 1))) (sqrt (/ (* x 2.0) (- (/ x y) 1))) (- (* x 2.0)) (- (- (/ x y) 1)) (/ x (* (cbrt (- (/ x y) 1)) (cbrt (- (/ x y) 1)))) (/ 2.0 (cbrt (- (/ x y) 1))) (/ x (sqrt (- (/ x y) 1))) (/ 2.0 (sqrt (- (/ x y) 1))) x (/ 2.0 (- (/ x y) 1)) (/ x (+ (sqrt (/ x y)) 1)) (/ 2.0 (- (sqrt (/ x y)) 1)) (/ x (+ (sqrt (/ x y)) 1)) (/ 2.0 (- (sqrt (/ x y)) 1)) (/ x (+ (/ (sqrt x) (sqrt y)) 1)) (/ 2.0 (- (/ (sqrt x) (sqrt y)) 1)) (/ x (+ (/ (sqrt x) (sqrt y)) 1)) (/ 2.0 (- (/ (sqrt x) (sqrt y)) 1)) (/ x (+ (sqrt (/ x y)) 1)) (/ 2.0 (- (sqrt (/ x y)) 1)) (/ x (+ (/ (sqrt x) (sqrt y)) 1)) (/ 2.0 (- (/ (sqrt x) (sqrt y)) 1)) x (/ 2.0 (- (/ x y) 1)) (/ 1 (- (/ x y) 1)) (/ (- (/ x y) 1) (* x 2.0)) (/ (* x 2.0) (* (cbrt (- (/ x y) 1)) (cbrt (- (/ x y) 1)))) (/ (* x 2.0) (sqrt (- (/ x y) 1))) (* x 2.0) (/ (* x 2.0) (+ (sqrt (/ x y)) 1)) (/ (* x 2.0) (+ (sqrt (/ x y)) 1)) (/ (* x 2.0) (+ (/ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) (+ (/ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) (+ (sqrt (/ x y)) 1)) (/ (* x 2.0) (+ (/ (sqrt x) (sqrt y)) 1)) (* x 2.0) (/ (- (/ x y) 1) 2.0) (/ (* x 2.0) (- (pow (/ x y) 3) 1)) (/ (* x 2.0) (- (* (/ x y) (/ x y)) 1)) 0 0 0 0.942 * * * [progress]: adding candidates to table 1.008 * [progress]: [Phase 3 of 3] Extracting. 1.008 * * [regime]: Finding splitpoints for: (# #) 1.008 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.008 * * * * [regimes]: Trying to branch on y from (# #) 1.025 * * * * [regimes]: Trying to branch on x from (# #) 1.045 * * * [regime]: Found split indices: #