4.091 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.013 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.014 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.014 * [simplify]: Simplified to: (/ x (+ x y)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.018 * * * [progress]: generating rewritten candidates 0.018 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.024 * * * [progress]: generating series expansions 0.024 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.024 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.024 * [taylor]: Taking taylor expansion of x in y 0.024 * [taylor]: Taking taylor expansion of (+ x y) in y 0.024 * [taylor]: Taking taylor expansion of x in y 0.024 * [taylor]: Taking taylor expansion of y in y 0.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of (+ x y) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of y in x 0.024 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of (+ x y) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of y in x 0.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.024 * [taylor]: Taking taylor expansion of y in y 0.025 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.035 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.035 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.048 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.048 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.048 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.063 * * * [progress]: simplifying candidates 0.064 * [simplify]: Simplifying using # : (- (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)) 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) 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 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ 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 0.067 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.069 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.075 * * [simplify]: iteration 2 : 1024 enodes (cost 144 ) 0.091 * * [simplify]: iteration 3 : 3620 enodes (cost 144 ) 0.136 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.137 * [simplify]: Simplified to: (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) (- (+ 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)) (/ (cbrt x) (+ x 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) (+ 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 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x 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 0.138 * * * [progress]: adding candidates to table 0.186 * * [progress]: iteration 2 / 4 0.186 * * * [progress]: picking best candidate 0.188 * * * * [pick]: Picked # 0.188 * * * [progress]: localizing error 0.192 * * * [progress]: generating rewritten candidates 0.193 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.201 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.209 * * * [progress]: generating series expansions 0.209 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.209 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (+ x y) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (+ x y) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (+ x y) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.220 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.220 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.221 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.222 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.232 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.232 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.233 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.235 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.241 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.248 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.248 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.248 * [taylor]: Taking taylor expansion of (+ x y) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.248 * [taylor]: Taking taylor expansion of (+ x y) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.248 * [taylor]: Taking taylor expansion of (+ x y) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.259 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [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 (+ (/ 1 y) (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of 1 in y 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.268 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.268 * [taylor]: Taking taylor expansion of -1 in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of -1 in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of -1 in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of -1 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.278 * * * [progress]: simplifying candidates 0.279 * [simplify]: Simplifying using # : (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 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)) 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) 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 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 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 0.283 * * [simplify]: iteration 0 : 226 enodes (cost 346 ) 0.288 * * [simplify]: iteration 1 : 996 enodes (cost 296 ) 0.302 * * [simplify]: iteration 2 : 3433 enodes (cost 258 ) 0.330 * * [simplify]: iteration 3 : 5001 enodes (cost 258 ) 0.332 * [simplify]: Simplified to: (/ x (+ x y)) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (exp (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x (- 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 (/ 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 (/ 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 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 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 0.332 * * * [progress]: adding candidates to table 0.421 * * [progress]: iteration 3 / 4 0.421 * * * [progress]: picking best candidate 0.422 * * * * [pick]: Picked # 0.422 * * * [progress]: localizing error 0.426 * * * [progress]: generating rewritten candidates 0.426 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.433 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.443 * * * [progress]: generating series expansions 0.443 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.443 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.443 * [taylor]: Taking taylor expansion of (+ x y) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (+ x y) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (+ x y) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.457 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.457 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.458 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.460 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1 in y 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.470 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.470 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.471 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.472 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1 in y 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.482 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.482 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.482 * [taylor]: Taking taylor expansion of (+ x y) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.482 * [taylor]: Taking taylor expansion of (+ x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.483 * [taylor]: Taking taylor expansion of (+ x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of 1 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of 1 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.502 * * * [progress]: simplifying candidates 0.504 * [simplify]: Simplifying using # : (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.509 * * [simplify]: iteration 0 : 346 enodes (cost 800 ) 0.516 * * [simplify]: iteration 1 : 1531 enodes (cost 702 ) 0.536 * * [simplify]: iteration 2 : 5001 enodes (cost 612 ) 0.539 * [simplify]: Simplified to: (- 1) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* y (- y x)) (* x x)) x) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.539 * * * [progress]: adding candidates to table 0.663 * [progress]: [Phase 3 of 3] Extracting. 0.663 * * [regime]: Finding splitpoints for: (# # #) 0.663 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 0.663 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 0.674 * * * * [regimes]: Trying to branch on y from (# # #) 0.687 * * * * [regimes]: Trying to branch on x from (# # #) 0.699 * * * [regime]: Found split indices: #