19.949 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ (* (* x 2.0) y) (- x y)) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.018 * * [simplify]: iteration 1 : 15 enodes (cost 9 ) 0.020 * * [simplify]: iteration 2 : 35 enodes (cost 9 ) 0.025 * * [simplify]: iteration 3 : 70 enodes (cost 9 ) 0.036 * * [simplify]: iteration 4 : 120 enodes (cost 9 ) 0.053 * * [simplify]: iteration 5 : 151 enodes (cost 9 ) 0.074 * * [simplify]: iteration 6 : 166 enodes (cost 9 ) 0.094 * * [simplify]: iteration 7 : 171 enodes (cost 9 ) 0.115 * * [simplify]: iteration done : 171 enodes (cost 9 ) 0.116 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.117 * * * * [pick]: Picked # 0.117 * * * [progress]: localizing error 0.124 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.136 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.136 * [taylor]: Taking taylor expansion of 2.0 in y 0.136 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.136 * [taylor]: Taking taylor expansion of (* x y) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (- x y) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.137 * [taylor]: Taking taylor expansion of 2.0 in x 0.137 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.137 * [taylor]: Taking taylor expansion of (* x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (- x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.138 * [taylor]: Taking taylor expansion of 2.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.138 * [taylor]: Taking taylor expansion of (* x y) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (- x y) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of -2.0 in y 0.140 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.140 * [taylor]: Taking taylor expansion of 2.0 in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of 2.0 in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.149 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.149 * [taylor]: Taking taylor expansion of 2.0 in y 0.150 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (* x y) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.152 * [taylor]: Taking taylor expansion of 2.0 in x 0.152 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (* x y) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.154 * [taylor]: Taking taylor expansion of 2.0 in x 0.154 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (* x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.156 * [taylor]: Taking taylor expansion of 2.0 in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of 2.0 in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.166 * [taylor]: Taking taylor expansion of 2.0 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.173 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.174 * [taylor]: Taking taylor expansion of 2.0 in y 0.174 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.176 * [taylor]: Taking taylor expansion of 2.0 in x 0.176 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.181 * [taylor]: Taking taylor expansion of 2.0 in x 0.181 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.183 * [taylor]: Taking taylor expansion of -2.0 in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.186 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of 2.0 in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.192 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.192 * [taylor]: Taking taylor expansion of 2.0 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.200 * * * [progress]: simplifying candidates 0.201 * [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 0.203 * * [simplify]: iteration 0 : 79 enodes (cost 420 ) 0.217 * * [simplify]: iteration 1 : 215 enodes (cost 400 ) 0.277 * * [simplify]: iteration 2 : 983 enodes (cost 334 ) 1.124 * * [simplify]: iteration done : 5000 enodes (cost 334 ) 1.124 * [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 1.124 * * * [progress]: adding candidates to table 1.185 * * [progress]: iteration 2 / 4 1.185 * * * [progress]: picking best candidate 1.191 * * * * [pick]: Picked # 1.191 * * * [progress]: localizing error 1.196 * * * [progress]: generating rewritten candidates 1.196 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.214 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.223 * * * [progress]: generating series expansions 1.223 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.223 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 1.223 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 1.223 * [taylor]: Taking taylor expansion of 2.0 in y 1.223 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 1.224 * [taylor]: Taking taylor expansion of (* x y) in y 1.224 * [taylor]: Taking taylor expansion of x in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of (- x y) in y 1.224 * [taylor]: Taking taylor expansion of x in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 1.224 * [taylor]: Taking taylor expansion of 2.0 in x 1.224 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 1.224 * [taylor]: Taking taylor expansion of (* x y) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.224 * [taylor]: Taking taylor expansion of (- x y) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 1.225 * [taylor]: Taking taylor expansion of 2.0 in x 1.225 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 1.225 * [taylor]: Taking taylor expansion of (* x y) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of (- x y) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of -2.0 in y 1.227 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 1.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.227 * [taylor]: Taking taylor expansion of 2.0 in y 1.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.231 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 1.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.231 * [taylor]: Taking taylor expansion of 2.0 in y 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.231 * [taylor]: Taking taylor expansion of y in y 1.240 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 1.240 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 1.240 * [taylor]: Taking taylor expansion of 2.0 in y 1.240 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 1.240 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.240 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.240 * [taylor]: Taking taylor expansion of x in y 1.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.240 * [taylor]: Taking taylor expansion of y in y 1.240 * [taylor]: Taking taylor expansion of (* x y) in y 1.240 * [taylor]: Taking taylor expansion of x in y 1.240 * [taylor]: Taking taylor expansion of y in y 1.242 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 1.242 * [taylor]: Taking taylor expansion of 2.0 in x 1.242 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 1.242 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.242 * [taylor]: Taking taylor expansion of y in x 1.242 * [taylor]: Taking taylor expansion of (* x y) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of y in x 1.244 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 1.244 * [taylor]: Taking taylor expansion of 2.0 in x 1.244 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 1.244 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.244 * [taylor]: Taking taylor expansion of (* x y) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.246 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 1.246 * [taylor]: Taking taylor expansion of 2.0 in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.249 * [taylor]: Taking taylor expansion of 2.0 in y 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.249 * [taylor]: Taking taylor expansion of y in y 1.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 1.255 * [taylor]: Taking taylor expansion of 2.0 in y 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.255 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.263 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.263 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 1.263 * [taylor]: Taking taylor expansion of 2.0 in y 1.263 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 1.263 * [taylor]: Taking taylor expansion of x in y 1.263 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.263 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.263 * [taylor]: Taking taylor expansion of x in y 1.265 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.265 * [taylor]: Taking taylor expansion of 2.0 in x 1.265 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.265 * [taylor]: Taking taylor expansion of y in x 1.265 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.265 * [taylor]: Taking taylor expansion of y in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.267 * [taylor]: Taking taylor expansion of 2.0 in x 1.267 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.267 * [taylor]: Taking taylor expansion of y in x 1.267 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.267 * [taylor]: Taking taylor expansion of y in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 1.269 * [taylor]: Taking taylor expansion of -2.0 in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.272 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 1.273 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.273 * [taylor]: Taking taylor expansion of 2.0 in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.279 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 1.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 1.279 * [taylor]: Taking taylor expansion of 2.0 in y 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.279 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.279 * [taylor]: Taking taylor expansion of y in y 1.287 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.287 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 1.287 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 1.287 * [taylor]: Taking taylor expansion of y in x 1.287 * [taylor]: Taking taylor expansion of (- x y) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of y in x 1.287 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.287 * [taylor]: Taking taylor expansion of (- x y) in y 1.287 * [taylor]: Taking taylor expansion of x in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (- x y) in y 1.288 * [taylor]: Taking taylor expansion of x in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.293 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.299 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 1.299 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 1.299 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 1.299 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.300 * [taylor]: Taking taylor expansion of y in x 1.300 * [taylor]: Taking taylor expansion of y in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 1.300 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 1.300 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.300 * [taylor]: Taking taylor expansion of x in y 1.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 1.302 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 1.302 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.302 * [taylor]: Taking taylor expansion of x in y 1.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.303 * [taylor]: Taking taylor expansion of y in y 1.303 * [taylor]: Taking taylor expansion of y in y 1.305 * [taylor]: Taking taylor expansion of -1 in x 1.307 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.318 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 1.318 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 1.318 * [taylor]: Taking taylor expansion of -1 in x 1.318 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.318 * [taylor]: Taking taylor expansion of y in x 1.318 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.318 * [taylor]: Taking taylor expansion of y in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 1.319 * [taylor]: Taking taylor expansion of -1 in y 1.319 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.321 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 1.321 * [taylor]: Taking taylor expansion of -1 in y 1.321 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.321 * [taylor]: Taking taylor expansion of y in y 1.321 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.321 * [taylor]: Taking taylor expansion of y in y 1.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.321 * [taylor]: Taking taylor expansion of x in y 1.323 * [taylor]: Taking taylor expansion of -1 in x 1.324 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.333 * * * [progress]: simplifying candidates 1.334 * [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) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (- (log y) (log (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y))) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) (/ 1 1) (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ 1 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) (/ y 1) (/ y (+ (sqrt x) (sqrt y))) (/ y 1) (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 1.337 * * [simplify]: iteration 0 : 120 enodes (cost 947 ) 1.363 * * [simplify]: iteration 1 : 316 enodes (cost 888 ) 1.551 * * [simplify]: iteration 2 : 1315 enodes (cost 788 ) 2.181 * * [simplify]: iteration done : 5000 enodes (cost 788 ) 2.181 * [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)))) (* (sqrt y) (* x 2.0)) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* (sqrt y) (* x 2.0)) (/ (* 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) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (log (/ y (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (pow (/ y (- x y)) 3) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (pow (/ y (- x y)) 3) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (sqrt y) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (sqrt y) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) 1 (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) 1 (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) y (/ y (+ (sqrt x) (sqrt y))) y (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 2.182 * * * [progress]: adding candidates to table 2.339 * * [progress]: iteration 3 / 4 2.339 * * * [progress]: picking best candidate 2.343 * * * * [pick]: Picked # 2.344 * * * [progress]: localizing error 2.349 * * * [progress]: generating rewritten candidates 2.349 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.359 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.373 * * * [progress]: generating series expansions 2.373 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.373 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 2.373 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 2.373 * [taylor]: Taking taylor expansion of 2.0 in y 2.373 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 2.373 * [taylor]: Taking taylor expansion of (* x y) in y 2.373 * [taylor]: Taking taylor expansion of x in y 2.373 * [taylor]: Taking taylor expansion of y in y 2.373 * [taylor]: Taking taylor expansion of (- x y) in y 2.373 * [taylor]: Taking taylor expansion of x in y 2.373 * [taylor]: Taking taylor expansion of y in y 2.374 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 2.374 * [taylor]: Taking taylor expansion of 2.0 in x 2.374 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 2.374 * [taylor]: Taking taylor expansion of (* x y) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.374 * [taylor]: Taking taylor expansion of (- x y) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.374 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 2.374 * [taylor]: Taking taylor expansion of 2.0 in x 2.374 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 2.374 * [taylor]: Taking taylor expansion of (* x y) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.374 * [taylor]: Taking taylor expansion of (- x y) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.375 * [taylor]: Taking taylor expansion of -2.0 in y 2.377 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 2.377 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.377 * [taylor]: Taking taylor expansion of 2.0 in y 2.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.377 * [taylor]: Taking taylor expansion of y in y 2.381 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 2.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.381 * [taylor]: Taking taylor expansion of 2.0 in y 2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.381 * [taylor]: Taking taylor expansion of y in y 2.390 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 2.390 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 2.390 * [taylor]: Taking taylor expansion of 2.0 in y 2.390 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 2.390 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.390 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.390 * [taylor]: Taking taylor expansion of x in y 2.390 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.390 * [taylor]: Taking taylor expansion of y in y 2.390 * [taylor]: Taking taylor expansion of (* x y) in y 2.390 * [taylor]: Taking taylor expansion of x in y 2.391 * [taylor]: Taking taylor expansion of y in y 2.392 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 2.392 * [taylor]: Taking taylor expansion of 2.0 in x 2.392 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 2.392 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.392 * [taylor]: Taking taylor expansion of x in x 2.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.393 * [taylor]: Taking taylor expansion of y in x 2.393 * [taylor]: Taking taylor expansion of (* x y) in x 2.393 * [taylor]: Taking taylor expansion of x in x 2.393 * [taylor]: Taking taylor expansion of y in x 2.394 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 2.394 * [taylor]: Taking taylor expansion of 2.0 in x 2.394 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 2.394 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.394 * [taylor]: Taking taylor expansion of y in x 2.394 * [taylor]: Taking taylor expansion of (* x y) in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of y in x 2.396 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 2.396 * [taylor]: Taking taylor expansion of 2.0 in y 2.396 * [taylor]: Taking taylor expansion of y in y 2.399 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.399 * [taylor]: Taking taylor expansion of 2.0 in y 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.399 * [taylor]: Taking taylor expansion of y in y 2.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 2.405 * [taylor]: Taking taylor expansion of 2.0 in y 2.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.405 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.405 * [taylor]: Taking taylor expansion of y in y 2.414 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 2.414 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 2.414 * [taylor]: Taking taylor expansion of 2.0 in y 2.414 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 2.414 * [taylor]: Taking taylor expansion of x in y 2.414 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 2.414 * [taylor]: Taking taylor expansion of y in y 2.414 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.414 * [taylor]: Taking taylor expansion of y in y 2.414 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.414 * [taylor]: Taking taylor expansion of x in y 2.416 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 2.416 * [taylor]: Taking taylor expansion of 2.0 in x 2.416 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 2.416 * [taylor]: Taking taylor expansion of x in x 2.416 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 2.416 * [taylor]: Taking taylor expansion of y in x 2.416 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.416 * [taylor]: Taking taylor expansion of y in x 2.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.416 * [taylor]: Taking taylor expansion of x in x 2.418 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 2.418 * [taylor]: Taking taylor expansion of 2.0 in x 2.418 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.418 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 2.418 * [taylor]: Taking taylor expansion of y in x 2.418 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.418 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.418 * [taylor]: Taking taylor expansion of y in x 2.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.420 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 2.420 * [taylor]: Taking taylor expansion of -2.0 in y 2.420 * [taylor]: Taking taylor expansion of y in y 2.423 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 2.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.423 * [taylor]: Taking taylor expansion of 2.0 in y 2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.423 * [taylor]: Taking taylor expansion of y in y 2.430 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 2.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 2.430 * [taylor]: Taking taylor expansion of 2.0 in y 2.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.430 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.430 * [taylor]: Taking taylor expansion of y in y 2.438 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.438 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 2.438 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 2.438 * [taylor]: Taking taylor expansion of (- x y) in y 2.438 * [taylor]: Taking taylor expansion of x in y 2.438 * [taylor]: Taking taylor expansion of y in y 2.438 * [taylor]: Taking taylor expansion of y in y 2.438 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 2.438 * [taylor]: Taking taylor expansion of (- x y) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [taylor]: Taking taylor expansion of y in x 2.438 * [taylor]: Taking taylor expansion of y in x 2.439 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 2.439 * [taylor]: Taking taylor expansion of (- x y) in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.439 * [taylor]: Taking taylor expansion of y in x 2.439 * [taylor]: Taking taylor expansion of y in x 2.439 * [taylor]: Taking taylor expansion of -1 in y 2.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.439 * [taylor]: Taking taylor expansion of y in y 2.440 * [taylor]: Taking taylor expansion of 0 in y 2.441 * [taylor]: Taking taylor expansion of 0 in y 2.442 * [taylor]: Taking taylor expansion of 0 in y 2.442 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 2.442 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 2.443 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.443 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.443 * [taylor]: Taking taylor expansion of x in y 2.443 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.443 * [taylor]: Taking taylor expansion of y in y 2.443 * [taylor]: Taking taylor expansion of y in y 2.443 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 2.443 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.443 * [taylor]: Taking taylor expansion of x in x 2.443 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.443 * [taylor]: Taking taylor expansion of y in x 2.443 * [taylor]: Taking taylor expansion of y in x 2.443 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 2.443 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.443 * [taylor]: Taking taylor expansion of x in x 2.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.444 * [taylor]: Taking taylor expansion of y in x 2.444 * [taylor]: Taking taylor expansion of y in x 2.444 * [taylor]: Taking taylor expansion of y in y 2.445 * [taylor]: Taking taylor expansion of (- 1) in y 2.445 * [taylor]: Taking taylor expansion of 1 in y 2.446 * [taylor]: Taking taylor expansion of 0 in y 2.448 * [taylor]: Taking taylor expansion of 0 in y 2.450 * [taylor]: Taking taylor expansion of 0 in y 2.451 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 2.451 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 2.451 * [taylor]: Taking taylor expansion of -1 in y 2.451 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 2.451 * [taylor]: Taking taylor expansion of y in y 2.451 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.451 * [taylor]: Taking taylor expansion of y in y 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.451 * [taylor]: Taking taylor expansion of x in y 2.451 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 2.451 * [taylor]: Taking taylor expansion of -1 in x 2.451 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 2.451 * [taylor]: Taking taylor expansion of y in x 2.451 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.451 * [taylor]: Taking taylor expansion of y in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.452 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 2.452 * [taylor]: Taking taylor expansion of -1 in x 2.452 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 2.452 * [taylor]: Taking taylor expansion of y in x 2.452 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.452 * [taylor]: Taking taylor expansion of y in x 2.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.452 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of y in y 2.454 * [taylor]: Taking taylor expansion of (- 1) in y 2.454 * [taylor]: Taking taylor expansion of 1 in y 2.456 * [taylor]: Taking taylor expansion of 0 in y 2.459 * [taylor]: Taking taylor expansion of 0 in y 2.462 * [taylor]: Taking taylor expansion of 0 in y 2.462 * * * [progress]: simplifying candidates 2.467 * [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) 2.471 * * [simplify]: iteration 0 : 155 enodes (cost 1282 ) 2.508 * * [simplify]: iteration 1 : 390 enodes (cost 1208 ) 2.699 * * [simplify]: iteration 2 : 1368 enodes (cost 1094 ) 3.343 * * [simplify]: iteration done : 5000 enodes (cost 1094 ) 3.344 * [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)) -1)) (/ 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)) (* 2.0 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))) (/ (* 2.0 x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ (* x 2.0) (sqrt (- x y))) (* (* 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 2.0) (+ (sqrt x) (sqrt y))) (* (* 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) 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) (/ 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) 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)) -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) 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 (- (sqrt x) (sqrt y))) (/ y (- x y)) (* y (fma x x (* y (+ x y)))) (* y (+ x y)) 0 0 0 (/ (- x y) y) (/ (- x y) y) (/ (- x y) y) 3.344 * * * [progress]: adding candidates to table 3.540 * * [progress]: iteration 4 / 4 3.540 * * * [progress]: picking best candidate 3.542 * * * * [pick]: Picked # 3.542 * * * [progress]: localizing error 3.550 * * * [progress]: generating rewritten candidates 3.551 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.571 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.580 * * * [progress]: generating series expansions 3.580 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.580 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 3.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 3.580 * [taylor]: Taking taylor expansion of 2.0 in y 3.580 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 3.580 * [taylor]: Taking taylor expansion of (* x y) in y 3.580 * [taylor]: Taking taylor expansion of x in y 3.580 * [taylor]: Taking taylor expansion of y in y 3.580 * [taylor]: Taking taylor expansion of (- x y) in y 3.580 * [taylor]: Taking taylor expansion of x in y 3.580 * [taylor]: Taking taylor expansion of y in y 3.581 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 3.581 * [taylor]: Taking taylor expansion of 2.0 in x 3.581 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 3.581 * [taylor]: Taking taylor expansion of (* x y) in x 3.581 * [taylor]: Taking taylor expansion of x in x 3.581 * [taylor]: Taking taylor expansion of y in x 3.581 * [taylor]: Taking taylor expansion of (- x y) in x 3.581 * [taylor]: Taking taylor expansion of x in x 3.581 * [taylor]: Taking taylor expansion of y in x 3.582 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 3.582 * [taylor]: Taking taylor expansion of 2.0 in x 3.582 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 3.582 * [taylor]: Taking taylor expansion of (* x y) in x 3.582 * [taylor]: Taking taylor expansion of x in x 3.582 * [taylor]: Taking taylor expansion of y in x 3.582 * [taylor]: Taking taylor expansion of (- x y) in x 3.582 * [taylor]: Taking taylor expansion of x in x 3.582 * [taylor]: Taking taylor expansion of y in x 3.583 * [taylor]: Taking taylor expansion of -2.0 in y 3.584 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 3.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 3.584 * [taylor]: Taking taylor expansion of 2.0 in y 3.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.584 * [taylor]: Taking taylor expansion of y in y 3.588 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 3.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 3.588 * [taylor]: Taking taylor expansion of 2.0 in y 3.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.588 * [taylor]: Taking taylor expansion of y in y 3.593 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 3.593 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 3.593 * [taylor]: Taking taylor expansion of 2.0 in y 3.593 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 3.594 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 3.594 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.594 * [taylor]: Taking taylor expansion of x in y 3.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.594 * [taylor]: Taking taylor expansion of y in y 3.594 * [taylor]: Taking taylor expansion of (* x y) in y 3.594 * [taylor]: Taking taylor expansion of x in y 3.594 * [taylor]: Taking taylor expansion of y in y 3.596 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 3.596 * [taylor]: Taking taylor expansion of 2.0 in x 3.596 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 3.596 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.596 * [taylor]: Taking taylor expansion of x in x 3.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.596 * [taylor]: Taking taylor expansion of y in x 3.596 * [taylor]: Taking taylor expansion of (* x y) in x 3.596 * [taylor]: Taking taylor expansion of x in x 3.596 * [taylor]: Taking taylor expansion of y in x 3.597 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 3.598 * [taylor]: Taking taylor expansion of 2.0 in x 3.598 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 3.598 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.598 * [taylor]: Taking taylor expansion of x in x 3.598 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.598 * [taylor]: Taking taylor expansion of y in x 3.598 * [taylor]: Taking taylor expansion of (* x y) in x 3.598 * [taylor]: Taking taylor expansion of x in x 3.598 * [taylor]: Taking taylor expansion of y in x 3.599 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 3.599 * [taylor]: Taking taylor expansion of 2.0 in y 3.599 * [taylor]: Taking taylor expansion of y in y 3.602 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 3.603 * [taylor]: Taking taylor expansion of 2.0 in y 3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.603 * [taylor]: Taking taylor expansion of y in y 3.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 3.609 * [taylor]: Taking taylor expansion of 2.0 in y 3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.609 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.609 * [taylor]: Taking taylor expansion of y in y 3.616 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 3.616 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 3.616 * [taylor]: Taking taylor expansion of 2.0 in y 3.616 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 3.616 * [taylor]: Taking taylor expansion of x in y 3.616 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 3.616 * [taylor]: Taking taylor expansion of y in y 3.616 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.616 * [taylor]: Taking taylor expansion of y in y 3.617 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.617 * [taylor]: Taking taylor expansion of x in y 3.618 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 3.618 * [taylor]: Taking taylor expansion of 2.0 in x 3.618 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 3.618 * [taylor]: Taking taylor expansion of y in x 3.618 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.618 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.618 * [taylor]: Taking taylor expansion of y in x 3.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.618 * [taylor]: Taking taylor expansion of x in x 3.620 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 3.620 * [taylor]: Taking taylor expansion of 2.0 in x 3.620 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 3.620 * [taylor]: Taking taylor expansion of x in x 3.620 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 3.620 * [taylor]: Taking taylor expansion of y in x 3.620 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.620 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.620 * [taylor]: Taking taylor expansion of y in x 3.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.620 * [taylor]: Taking taylor expansion of x in x 3.623 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 3.623 * [taylor]: Taking taylor expansion of -2.0 in y 3.623 * [taylor]: Taking taylor expansion of y in y 3.625 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 3.625 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 3.625 * [taylor]: Taking taylor expansion of 2.0 in y 3.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.625 * [taylor]: Taking taylor expansion of y in y 3.634 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 3.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 3.634 * [taylor]: Taking taylor expansion of 2.0 in y 3.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.635 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.635 * [taylor]: Taking taylor expansion of y in y 3.643 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.643 * [approximate]: Taking taylor expansion of (/ x (- x y)) in (x y) around 0 3.643 * [taylor]: Taking taylor expansion of (/ x (- x y)) in y 3.643 * [taylor]: Taking taylor expansion of x in y 3.643 * [taylor]: Taking taylor expansion of (- x y) in y 3.643 * [taylor]: Taking taylor expansion of x in y 3.643 * [taylor]: Taking taylor expansion of y in y 3.643 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 3.643 * [taylor]: Taking taylor expansion of x in x 3.643 * [taylor]: Taking taylor expansion of (- x y) in x 3.644 * [taylor]: Taking taylor expansion of x in x 3.644 * [taylor]: Taking taylor expansion of y in x 3.644 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 3.644 * [taylor]: Taking taylor expansion of x in x 3.644 * [taylor]: Taking taylor expansion of (- x y) in x 3.644 * [taylor]: Taking taylor expansion of x in x 3.644 * [taylor]: Taking taylor expansion of y in x 3.644 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.644 * [taylor]: Taking taylor expansion of -1 in y 3.644 * [taylor]: Taking taylor expansion of y in y 3.645 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.645 * [taylor]: Taking taylor expansion of y in y 3.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 3.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.649 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.649 * [taylor]: Taking taylor expansion of y in y 3.656 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 3.656 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in y 3.656 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 3.656 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 3.656 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.656 * [taylor]: Taking taylor expansion of x in y 3.656 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.656 * [taylor]: Taking taylor expansion of y in y 3.656 * [taylor]: Taking taylor expansion of x in y 3.657 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 3.657 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 3.657 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.657 * [taylor]: Taking taylor expansion of y in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.658 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 3.659 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 3.659 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.659 * [taylor]: Taking taylor expansion of y in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.660 * [taylor]: Taking taylor expansion of 1 in y 3.662 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.662 * [taylor]: Taking taylor expansion of y in y 3.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.665 * [taylor]: Taking taylor expansion of y in y 3.669 * [approximate]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 3.669 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in y 3.669 * [taylor]: Taking taylor expansion of -1 in y 3.669 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 3.669 * [taylor]: Taking taylor expansion of x in y 3.669 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.669 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.669 * [taylor]: Taking taylor expansion of y in y 3.669 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.669 * [taylor]: Taking taylor expansion of x in y 3.670 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 3.670 * [taylor]: Taking taylor expansion of -1 in x 3.670 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.670 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.670 * [taylor]: Taking taylor expansion of y in x 3.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.672 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 3.672 * [taylor]: Taking taylor expansion of -1 in x 3.672 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 3.672 * [taylor]: Taking taylor expansion of x in x 3.672 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.672 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.672 * [taylor]: Taking taylor expansion of y in x 3.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.672 * [taylor]: Taking taylor expansion of x in x 3.675 * [taylor]: Taking taylor expansion of 1 in y 3.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.677 * [taylor]: Taking taylor expansion of y in y 3.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.681 * [taylor]: Taking taylor expansion of y in y 3.685 * * * [progress]: simplifying candidates 3.686 * [simplify]: Simplifying using # : (expm1 (* (/ x (- x y)) (* 2.0 y))) (log1p (* (/ x (- x y)) (* 2.0 y))) (* (/ x (- x y)) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y)) (+ (- (log x) (log (- x y))) (+ (log 2.0) (log y))) (+ (- (log x) (log (- x y))) (log (* 2.0 y))) (+ (log (/ x (- x y))) (+ (log 2.0) (log y))) (+ (log (/ x (- x y))) (log (* 2.0 y))) (log (* (/ x (- x y)) (* 2.0 y))) (exp (* (/ x (- x y)) (* 2.0 y))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* 2.0 2.0) 2.0) (* (* y y) y))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 y))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* 2.0 2.0) 2.0) (* (* y y) y))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 y))) (* (cbrt (* (/ x (- x y)) (* 2.0 y))) (cbrt (* (/ x (- x y)) (* 2.0 y)))) (cbrt (* (/ x (- x y)) (* 2.0 y))) (* (* (* (/ x (- x y)) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y))) (* (/ x (- x y)) (* 2.0 y))) (sqrt (* (/ x (- x y)) (* 2.0 y))) (sqrt (* (/ x (- x y)) (* 2.0 y))) (* (/ x (- x y)) 2.0) (* (cbrt (/ x (- x y))) (* 2.0 y)) (* (sqrt (/ x (- x y))) (* 2.0 y)) (* (/ (cbrt x) (cbrt (- x y))) (* 2.0 y)) (* (/ (cbrt x) (sqrt (- x y))) (* 2.0 y)) (* (/ (cbrt x) (- x y)) (* 2.0 y)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* 2.0 y)) (* (/ (cbrt x) (- x y)) (* 2.0 y)) (* (/ (sqrt x) (cbrt (- x y))) (* 2.0 y)) (* (/ (sqrt x) (sqrt (- x y))) (* 2.0 y)) (* (/ (sqrt x) (- x y)) (* 2.0 y)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* 2.0 y)) (* (/ (sqrt x) (- x y)) (* 2.0 y)) (* (/ x (cbrt (- x y))) (* 2.0 y)) (* (/ x (sqrt (- x y))) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y)) (* (/ x (- (sqrt x) (sqrt y))) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y)) (* (/ 1 (- x y)) (* 2.0 y)) (* (+ (* x x) (+ (* y y) (* x y))) (* 2.0 y)) (* (+ x y) (* 2.0 y)) (* x (* 2.0 y)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (- (log x) (log (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) (/ 1 1) (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) (/ 1 1) (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) (/ x 1) (/ x (+ (sqrt x) (sqrt y))) (/ x 1) (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 3.689 * * [simplify]: iteration 0 : 123 enodes (cost 926 ) 3.715 * * [simplify]: iteration 1 : 321 enodes (cost 888 ) 3.805 * * [simplify]: iteration 2 : 979 enodes (cost 786 ) 5.147 * * [simplify]: iteration 3 : 4292 enodes (cost 786 ) 6.367 * * [simplify]: iteration done : 5000 enodes (cost 785 ) 6.368 * [simplify]: Simplified to: (expm1 (* (/ x (- x y)) (* 2.0 y))) (log1p (* (/ x (- x y)) (* 2.0 y))) (* (/ x (- x y)) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y)) (log (* (/ x (- x y)) (* 2.0 y))) (log (* (/ x (- x y)) (* 2.0 y))) (log (* (/ x (- x y)) (* 2.0 y))) (log (* (/ x (- x y)) (* 2.0 y))) (log (* (/ x (- x y)) (* 2.0 y))) (exp (* (/ x (- x y)) (* 2.0 y))) (pow (* (/ x (- x y)) (* 2.0 y)) 3) (pow (* (/ x (- x y)) (* 2.0 y)) 3) (pow (* (/ x (- x y)) (* 2.0 y)) 3) (pow (* (/ x (- x y)) (* 2.0 y)) 3) (* (cbrt (* (/ x (- x y)) (* 2.0 y))) (cbrt (* (/ x (- x y)) (* 2.0 y)))) (cbrt (* (/ x (- x y)) (* 2.0 y))) (pow (* (/ x (- x y)) (* 2.0 y)) 3) (sqrt (* (/ x (- x y)) (* 2.0 y))) (sqrt (* (/ x (- x y)) (* 2.0 y))) (* (/ x (- x y)) 2.0) (* (cbrt (/ x (- x y))) (* 2.0 y)) (* (sqrt (/ x (- x y))) (* 2.0 y)) (* (/ (cbrt x) (cbrt (- x y))) (* 2.0 y)) (* (/ (cbrt x) (sqrt (- x y))) (* 2.0 y)) (* (/ (cbrt x) (- x y)) (* 2.0 y)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* 2.0 y)) (* (/ (cbrt x) (- x y)) (* 2.0 y)) (* (/ (sqrt x) (cbrt (- x y))) (* 2.0 y)) (* (/ (sqrt x) (sqrt (- x y))) (* 2.0 y)) (* (/ (sqrt x) (- x y)) (* 2.0 y)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* 2.0 y)) (* (/ (sqrt x) (- x y)) (* 2.0 y)) (* (/ x (cbrt (- x y))) (* 2.0 y)) (* (/ x (sqrt (- x y))) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y)) (* (/ x (- (sqrt x) (sqrt y))) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y)) (* (/ x (- x y)) (* 2.0 y)) (/ (* 2.0 y) (- x y)) (* (* (fma x x (* y (+ x y))) 2.0) y) (* (+ x y) (* 2.0 y)) (* x (* 2.0 y)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (log (/ x (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (pow (/ x (- x y)) 3) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (pow (/ x (- x y)) 3) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- y x) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (sqrt x) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (sqrt x) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) 1 (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) 1 (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) x (/ x (+ (sqrt x) (sqrt y))) x (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 6.368 * * * [progress]: adding candidates to table 6.528 * [progress]: [Phase 3 of 3] Extracting. 6.528 * * [regime]: Finding splitpoints for: (# # #) 6.528 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.528 * * * * [regimes]: Trying to branch on y from (# # #) 6.551 * * * * [regimes]: Trying to branch on x from (# # #) 6.574 * * * [regime]: Found split indices: #