29.455 * [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 ) 0.018 * * [simplify]: iteration 1 : 36 enodes (cost 4 ) 0.020 * * [simplify]: iteration 2 : 73 enodes (cost 4 ) 0.021 * * [simplify]: iteration 3 : 127 enodes (cost 4 ) 0.024 * * [simplify]: iteration 4 : 167 enodes (cost 4 ) 0.026 * * [simplify]: iteration 5 : 185 enodes (cost 4 ) 0.028 * * [simplify]: iteration 6 : 187 enodes (cost 4 ) 0.030 * * [simplify]: iteration 7 : 187 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.042 * * * * [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 0.055 * [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 0.068 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.068 * [taylor]: Taking taylor expansion of 2.0 in y 0.068 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.068 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [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 0.070 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.070 * [taylor]: Taking taylor expansion of 2.0 in x 0.070 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.070 * [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 0.072 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.072 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.074 * [taylor]: Taking taylor expansion of 2.0 in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.077 * [taylor]: Taking taylor expansion of 2.0 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.084 * [taylor]: Taking taylor expansion of 2.0 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.092 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.092 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.094 * [taylor]: Taking taylor expansion of 2.0 in x 0.094 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [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 0.097 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.099 * [taylor]: Taking taylor expansion of -2.0 in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [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 0.118 * [simplify]: Simplifying using # : (- (+ (+ (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 0.125 * * [simplify]: iteration 0 : 211 enodes (cost 184 ) 0.131 * * [simplify]: iteration 1 : 1144 enodes (cost 151 ) 0.155 * * [simplify]: iteration 2 : 5002 enodes (cost 151 ) 0.157 * [simplify]: Simplified to: (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 0.157 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.214 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.237 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.245 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.245 * [taylor]: Taking taylor expansion of 2.0 in y 0.245 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.245 * [taylor]: Taking taylor expansion of (* x y) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (- x y) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.246 * [taylor]: Taking taylor expansion of 2.0 in x 0.246 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.246 * [taylor]: Taking taylor expansion of (* x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (- x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.247 * [taylor]: Taking taylor expansion of 2.0 in x 0.247 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.247 * [taylor]: Taking taylor expansion of (* x y) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (- x y) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of -2.0 in y 0.249 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.249 * [taylor]: Taking taylor expansion of 2.0 in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.253 * [taylor]: Taking taylor expansion of 2.0 in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.259 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.259 * [taylor]: Taking taylor expansion of 2.0 in y 0.259 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (* x y) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.262 * [taylor]: Taking taylor expansion of 2.0 in x 0.262 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (* x y) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.264 * [taylor]: Taking taylor expansion of 2.0 in x 0.264 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (* x y) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.266 * [taylor]: Taking taylor expansion of 2.0 in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.269 * [taylor]: Taking taylor expansion of 2.0 in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.275 * [taylor]: Taking taylor expansion of 2.0 in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.284 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.284 * [taylor]: Taking taylor expansion of 2.0 in y 0.284 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in x 0.286 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.289 * [taylor]: Taking taylor expansion of 2.0 in x 0.289 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.291 * [taylor]: Taking taylor expansion of -2.0 in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.294 * [taylor]: Taking taylor expansion of 2.0 in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.303 * [taylor]: Taking taylor expansion of 2.0 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.312 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.312 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 0.312 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (- x y) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (- x y) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (- x y) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.325 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 0.325 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.326 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.329 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.342 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 0.342 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.342 * [taylor]: Taking taylor expansion of -1 in x 0.342 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.343 * [taylor]: Taking taylor expansion of -1 in y 0.343 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.345 * [taylor]: Taking taylor expansion of -1 in y 0.345 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of -1 in x 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.358 * * * [progress]: simplifying candidates 0.359 * [simplify]: Simplifying using # : (* (* 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) (- (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 0.364 * * [simplify]: iteration 0 : 310 enodes (cost 435 ) 0.371 * * [simplify]: iteration 1 : 1657 enodes (cost 385 ) 0.401 * * [simplify]: iteration 2 : 5001 enodes (cost 385 ) 0.403 * [simplify]: Simplified to: (* (* 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) (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 0.403 * * * [progress]: adding candidates to table 0.529 * * [progress]: iteration 3 / 4 0.529 * * * [progress]: picking best candidate 0.536 * * * * [pick]: Picked # 0.536 * * * [progress]: localizing error 0.542 * * * [progress]: generating rewritten candidates 0.542 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.564 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.579 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.589 * * * [progress]: generating series expansions 0.589 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.590 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.590 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.590 * [taylor]: Taking taylor expansion of 2.0 in y 0.590 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.590 * [taylor]: Taking taylor expansion of (* x y) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (- x y) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.591 * [taylor]: Taking taylor expansion of 2.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.591 * [taylor]: Taking taylor expansion of (* x y) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (- x y) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.594 * [taylor]: Taking taylor expansion of 2.0 in x 0.594 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.594 * [taylor]: Taking taylor expansion of (* x y) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (- x y) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of -2.0 in y 0.597 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.597 * [taylor]: Taking taylor expansion of 2.0 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.601 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.601 * [taylor]: Taking taylor expansion of 2.0 in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.607 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.607 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.607 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (* x y) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.609 * [taylor]: Taking taylor expansion of 2.0 in x 0.609 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.609 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (* x y) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.611 * [taylor]: Taking taylor expansion of 2.0 in x 0.611 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.611 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (* x y) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.613 * [taylor]: Taking taylor expansion of 2.0 in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.617 * [taylor]: Taking taylor expansion of 2.0 in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.623 * [taylor]: Taking taylor expansion of 2.0 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.631 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.632 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.632 * [taylor]: Taking taylor expansion of 2.0 in y 0.632 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.632 * [taylor]: Taking taylor expansion of x in y 0.632 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.632 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.634 * [taylor]: Taking taylor expansion of 2.0 in x 0.634 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.636 * [taylor]: Taking taylor expansion of 2.0 in x 0.636 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.638 * [taylor]: Taking taylor expansion of -2.0 in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.641 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.641 * [taylor]: Taking taylor expansion of 2.0 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.648 * [taylor]: Taking taylor expansion of 2.0 in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.656 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.657 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 0.657 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (- x y) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (- x y) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (- x y) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.663 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.670 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.670 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 0.670 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.670 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.670 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.670 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.673 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.673 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of -1 in x 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.689 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 0.689 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.690 * [taylor]: Taking taylor expansion of -1 in y 0.690 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.692 * [taylor]: Taking taylor expansion of -1 in y 0.692 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.704 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.704 * [approximate]: Taking taylor expansion of (/ 1 (- x y)) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 0.704 * [taylor]: Taking taylor expansion of (- x y) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.705 * [taylor]: Taking taylor expansion of (- x y) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.705 * [taylor]: Taking taylor expansion of (- x y) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.705 * [taylor]: Taking taylor expansion of -1 in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.710 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.718 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.718 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 0.718 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.719 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.720 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.720 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of 1 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.728 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 0.728 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.730 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of -1 in y 0.732 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.740 * * * [progress]: simplifying candidates 0.741 * [simplify]: Simplifying using # : (* (* x 2.0) (* y (/ 1 (- x y)))) (* (* x 2.0) (* y (/ 1 (- x y)))) (* (* x 2.0) (* y (/ 1 (- x y)))) (* (* x 2.0) (* y (/ 1 (- x y)))) (+ (+ (log x) (log 2.0)) (+ (log y) (- (log (- x y))))) (+ (+ (log x) (log 2.0)) (+ (log y) (- 0 (log (- x y))))) (+ (+ (log x) (log 2.0)) (+ (log y) (- (log 1) (log (- x y))))) (+ (+ (log x) (log 2.0)) (+ (log y) (log (/ 1 (- x y))))) (+ (+ (log x) (log 2.0)) (log (* y (/ 1 (- x y))))) (+ (log (* x 2.0)) (+ (log y) (- (log (- x y))))) (+ (log (* x 2.0)) (+ (log y) (- 0 (log (- x y))))) (+ (log (* x 2.0)) (+ (log y) (- (log 1) (log (- x y))))) (+ (log (* x 2.0)) (+ (log y) (log (/ 1 (- x y))))) (+ (log (* x 2.0)) (log (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (exp (* (* x 2.0) (* y (/ 1 (- x y))))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (* y y) y) (/ (* (* 1 1) 1) (* (* (- x y) (- x y)) (- x y))))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (* y y) y) (* (* (/ 1 (- x y)) (/ 1 (- x y))) (/ 1 (- x y))))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (* y (/ 1 (- x y))) (* y (/ 1 (- x y)))) (* y (/ 1 (- x y))))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (* y y) y) (/ (* (* 1 1) 1) (* (* (- x y) (- x y)) (- x y))))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (* y y) y) (* (* (/ 1 (- x y)) (/ 1 (- x y))) (/ 1 (- x y))))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (* y (/ 1 (- x y))) (* y (/ 1 (- x y)))) (* y (/ 1 (- x y))))) (* (cbrt (* (* x 2.0) (* y (/ 1 (- x y))))) (cbrt (* (* x 2.0) (* y (/ 1 (- x y)))))) (cbrt (* (* x 2.0) (* y (/ 1 (- x y))))) (* (* (* (* x 2.0) (* y (/ 1 (- x y)))) (* (* x 2.0) (* y (/ 1 (- x y))))) (* (* x 2.0) (* y (/ 1 (- x y))))) (sqrt (* (* x 2.0) (* y (/ 1 (- x y))))) (sqrt (* (* x 2.0) (* y (/ 1 (- x y))))) (* (* x 2.0) y) (* 2.0 (* y (/ 1 (- x y)))) (* (* x 2.0) y) (* (* x 2.0) (* y 1)) (* y (/ 1 (- x y))) (+ (log y) (- (log (- x y)))) (+ (log y) (- 0 (log (- x y)))) (+ (log y) (- (log 1) (log (- x y)))) (+ (log y) (log (/ 1 (- x y)))) (log (* y (/ 1 (- x y)))) (exp (* y (/ 1 (- x y)))) (* (* (* y y) y) (/ (* (* 1 1) 1) (* (* (- x y) (- x y)) (- x y)))) (* (* (* y y) y) (* (* (/ 1 (- x y)) (/ 1 (- x y))) (/ 1 (- x y)))) (* (cbrt (* y (/ 1 (- x y)))) (cbrt (* y (/ 1 (- x y))))) (cbrt (* y (/ 1 (- x y)))) (* (* (* y (/ 1 (- x y))) (* y (/ 1 (- x y)))) (* y (/ 1 (- x y)))) (sqrt (* y (/ 1 (- x y)))) (sqrt (* y (/ 1 (- x y)))) (* (sqrt y) (sqrt (/ 1 (- x y)))) (* (sqrt y) (sqrt (/ 1 (- x y)))) (* (sqrt y) (/ (sqrt 1) (sqrt (- x y)))) (* (sqrt y) (/ (sqrt 1) (sqrt (- x y)))) (* (sqrt y) (/ 1 (sqrt (- x y)))) (* (sqrt y) (/ 1 (sqrt (- x y)))) (* y (* (cbrt (/ 1 (- x y))) (cbrt (/ 1 (- x y))))) (* y (sqrt (/ 1 (- x y)))) (* y (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- x y)) (cbrt (- x y))))) (* y (/ (* (cbrt 1) (cbrt 1)) (sqrt (- x y)))) (* y (/ (* (cbrt 1) (cbrt 1)) 1)) (* y (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt x) (sqrt y)))) (* y (/ (* (cbrt 1) (cbrt 1)) 1)) (* y (/ (sqrt 1) (* (cbrt (- x y)) (cbrt (- x y))))) (* y (/ (sqrt 1) (sqrt (- x y)))) (* y (/ (sqrt 1) 1)) (* y (/ (sqrt 1) (+ (sqrt x) (sqrt y)))) (* y (/ (sqrt 1) 1)) (* y (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (* y (/ 1 (sqrt (- x y)))) (* y (/ 1 1)) (* y (/ 1 (+ (sqrt x) (sqrt y)))) (* y (/ 1 1)) (* y 1) (* y 1) (* y (/ 1 (- (pow x 3) (pow y 3)))) (* y (/ 1 (- (* x x) (* y y)))) (* (cbrt y) (/ 1 (- x y))) (* (sqrt y) (/ 1 (- x y))) (* y (/ 1 (- x y))) (* y 1) (- 1) (- (log (- x y))) (- 0 (log (- x y))) (- (log 1) (log (- x y))) (log (/ 1 (- x y))) (exp (/ 1 (- x y))) (/ (* (* 1 1) 1) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ 1 (- x y))) (cbrt (/ 1 (- x y)))) (cbrt (/ 1 (- x y))) (* (* (/ 1 (- x y)) (/ 1 (- x y))) (/ 1 (- x y))) (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))) (- 1) (- (- x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt 1) (cbrt (- x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- x y))) (/ (cbrt 1) (sqrt (- x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- x y)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt x) (sqrt y))) (/ (cbrt 1) (- (sqrt x) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- x y)) (/ (sqrt 1) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt 1) (cbrt (- x y))) (/ (sqrt 1) (sqrt (- x y))) (/ (sqrt 1) (sqrt (- x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (- x y)) (/ (sqrt 1) (+ (sqrt x) (sqrt y))) (/ (sqrt 1) (- (sqrt x) (sqrt y))) (/ (sqrt 1) 1) (/ (sqrt 1) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 1) (/ 1 (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ 1 (- (sqrt x) (sqrt y))) (/ 1 1) (/ 1 (- x y)) (/ 1 (- x y)) (/ (- x y) 1) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (sqrt (- x y))) (/ 1 1) (/ 1 (+ (sqrt x) (sqrt y))) (/ 1 1) (/ (- x y) (cbrt 1)) (/ (- x y) (sqrt 1)) (/ (- x y) 1) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0 0 0 0.747 * * [simplify]: iteration 0 : 379 enodes (cost 634 ) 0.755 * * [simplify]: iteration 1 : 1779 enodes (cost 506 ) 0.784 * * [simplify]: iteration 2 : 5001 enodes (cost 464 ) 0.787 * [simplify]: Simplified to: (* (/ y (- x y)) (* x 2.0)) (* (/ y (- x y)) (* x 2.0)) (* (/ y (- x y)) (* x 2.0)) (* (/ y (- x y)) (* x 2.0)) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (log (* (* x 2.0) (* y (/ 1 (- x y))))) (pow (exp x) (* (/ y (- x y)) 2.0)) (pow (* (/ y (- x y)) (* x 2.0)) 3) (pow (* (/ y (- x y)) (* x 2.0)) 3) (pow (* (/ y (- x y)) (* x 2.0)) 3) (pow (* (/ y (- x y)) (* x 2.0)) 3) (pow (* (/ y (- x y)) (* x 2.0)) 3) (pow (* (/ y (- x y)) (* x 2.0)) 3) (* (cbrt (* (* x 2.0) (* y (/ 1 (- x y))))) (cbrt (* (* x 2.0) (* y (/ 1 (- x y)))))) (cbrt (* (* x 2.0) (* y (/ 1 (- x y))))) (pow (* (/ y (- x y)) (* x 2.0)) 3) (sqrt (* (* x 2.0) (* y (/ 1 (- x y))))) (sqrt (* (* x 2.0) (* y (/ 1 (- x y))))) (* x (* 2.0 y)) (* (/ y (- x y)) 2.0) (* x (* 2.0 y)) (* x (* 2.0 y)) (/ y (- x y)) (- (log y) (log (- x y))) (- (log y) (log (- x y))) (- (log y) (log (- x y))) (- (log y) (log (- x y))) (- (log y) (log (- x y))) (exp (* y (/ 1 (- x y)))) (pow (/ y (- x y)) 3) (pow (/ y (- x y)) 3) (* (cbrt (* y (/ 1 (- x y)))) (cbrt (* y (/ 1 (- x y))))) (cbrt (* y (/ 1 (- x y)))) (pow (/ y (- x y)) 3) (sqrt (* y (/ 1 (- x y)))) (sqrt (* y (/ 1 (- x y)))) (* (sqrt y) (sqrt (/ 1 (- x y)))) (* (sqrt y) (sqrt (/ 1 (- x y)))) (/ (* (sqrt y) 1) (sqrt (- x y))) (/ (* (sqrt y) 1) (sqrt (- x y))) (/ (* (sqrt y) 1) (sqrt (- x y))) (/ (* (sqrt y) 1) (sqrt (- x y))) (* y (* (cbrt (/ 1 (- x y))) (cbrt (/ 1 (- x y))))) (* y (sqrt (/ 1 (- x y)))) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) y (/ y (+ (sqrt x) (sqrt y))) y (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) y (/ y (+ (sqrt x) (sqrt y))) y (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) y (/ y (+ (sqrt x) (sqrt y))) y y y (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) (/ (cbrt y) (- x y)) (/ (sqrt y) (- x y)) (/ y (- x y)) y (- 1) (log (/ 1 (- x y))) (log (/ 1 (- x y))) (log (/ 1 (- x y))) (log (/ 1 (- x y))) (exp (/ 1 (- x y))) (/ 1 (pow (- x y) 3)) (* (cbrt (/ 1 (- x y))) (cbrt (/ 1 (- x y)))) (cbrt (/ 1 (- x y))) (/ 1 (pow (- x y) 3)) (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))) (- 1) (- (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 (sqrt (- x y))) 1 (/ 1 (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ 1 (- (sqrt x) (sqrt y))) 1 (/ 1 (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 (sqrt (- x y))) 1 (/ 1 (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ 1 (- (sqrt x) (sqrt y))) 1 (/ 1 (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 (sqrt (- x y))) 1 (/ 1 (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ 1 (- (sqrt x) (sqrt y))) 1 (/ 1 (- x y)) (/ 1 (- x y)) (- x y) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ 1 (sqrt (- x y))) 1 (/ 1 (+ (sqrt x) (sqrt y))) 1 (- x y) (- x y) (- x y) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0 0 0 0.787 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 4 / 4 0.938 * * * [progress]: picking best candidate 0.944 * * * * [pick]: Picked # 0.944 * * * [progress]: localizing error 0.950 * * * [progress]: generating rewritten candidates 0.950 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.959 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.973 * * * [progress]: generating series expansions 0.973 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.973 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.973 * [taylor]: Taking taylor expansion of 2.0 in y 0.973 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.973 * [taylor]: Taking taylor expansion of (* x y) in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (- x y) in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.974 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.974 * [taylor]: Taking taylor expansion of 2.0 in x 0.974 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.974 * [taylor]: Taking taylor expansion of (* x y) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of y in x 0.974 * [taylor]: Taking taylor expansion of (- x y) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of y in x 0.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.975 * [taylor]: Taking taylor expansion of 2.0 in x 0.975 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.975 * [taylor]: Taking taylor expansion of (* x y) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of y in x 0.975 * [taylor]: Taking taylor expansion of (- x y) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of y in x 0.976 * [taylor]: Taking taylor expansion of -2.0 in y 0.977 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.977 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.977 * [taylor]: Taking taylor expansion of 2.0 in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.981 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.981 * [taylor]: Taking taylor expansion of 2.0 in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.987 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.988 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.988 * [taylor]: Taking taylor expansion of 2.0 in y 0.988 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.988 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.988 * [taylor]: Taking taylor expansion of x in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (* x y) in y 0.988 * [taylor]: Taking taylor expansion of x in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.990 * [taylor]: Taking taylor expansion of 2.0 in x 0.990 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.990 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of (* x y) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.992 * [taylor]: Taking taylor expansion of 2.0 in x 0.992 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.992 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (* x y) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.994 * [taylor]: Taking taylor expansion of 2.0 in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.998 * [taylor]: Taking taylor expansion of 2.0 in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 1.004 * [taylor]: Taking taylor expansion of 2.0 in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.004 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.013 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.013 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 1.013 * [taylor]: Taking taylor expansion of 2.0 in y 1.013 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.015 * [taylor]: Taking taylor expansion of 2.0 in x 1.015 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.018 * [taylor]: Taking taylor expansion of 2.0 in x 1.018 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 1.020 * [taylor]: Taking taylor expansion of -2.0 in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 1.023 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.023 * [taylor]: Taking taylor expansion of 2.0 in y 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 1.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 1.030 * [taylor]: Taking taylor expansion of 2.0 in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.030 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.039 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.039 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 1.039 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 1.039 * [taylor]: Taking taylor expansion of (- x y) in y 1.039 * [taylor]: Taking taylor expansion of x in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.040 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 1.040 * [taylor]: Taking taylor expansion of (- x y) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 1.040 * [taylor]: Taking taylor expansion of (- x y) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of -1 in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.043 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 1.044 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 1.044 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.044 * [taylor]: Taking taylor expansion of x in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 1.045 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.045 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 1.045 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (- 1) in y 1.047 * [taylor]: Taking taylor expansion of 1 in y 1.048 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [taylor]: Taking taylor expansion of 0 in y 1.053 * [taylor]: Taking taylor expansion of 0 in y 1.053 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.054 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 1.054 * [taylor]: Taking taylor expansion of -1 in y 1.054 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.054 * [taylor]: Taking taylor expansion of x in y 1.054 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of y in y 1.060 * [taylor]: Taking taylor expansion of (- 1) in y 1.061 * [taylor]: Taking taylor expansion of 1 in y 1.063 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [taylor]: Taking taylor expansion of 0 in y 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.069 * * * [progress]: simplifying candidates 1.071 * [simplify]: Simplifying using # : (- (+ (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)) (- (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) 1.077 * * [simplify]: iteration 0 : 386 enodes (cost 605 ) 1.085 * * [simplify]: iteration 1 : 1911 enodes (cost 548 ) 1.119 * * [simplify]: iteration 2 : 5001 enodes (cost 547 ) 1.122 * [simplify]: Simplified to: (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)) (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)) (* (+ (* y (+ x y)) (* x x)) y) (* y (+ x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 1.122 * * * [progress]: adding candidates to table 1.288 * [progress]: [Phase 3 of 3] Extracting. 1.288 * * [regime]: Finding splitpoints for: (# #) 1.288 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.288 * * * * [regimes]: Trying to branch on y from (# #) 1.307 * * * * [regimes]: Trying to branch on x from (# #) 1.324 * * * [regime]: Found split indices: #