15.043 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ x y)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of (+ x y) in y 0.029 * [taylor]: Taking taylor expansion of x in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ x y) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ x y) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.040 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.043 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.054 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.067 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 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 0.071 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.074 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.079 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.096 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.144 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.145 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ 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 0.145 * * * [progress]: adding candidates to table 0.196 * * [progress]: iteration 2 / 4 0.196 * * * [progress]: picking best candidate 0.199 * * * * [pick]: Picked # 0.199 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.213 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.222 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of (+ x y) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (+ x y) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (+ x y) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.233 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.233 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.234 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.236 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.252 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.252 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.254 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1 in y 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.265 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.265 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.265 * [taylor]: Taking taylor expansion of (+ x y) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.265 * [taylor]: Taking taylor expansion of (+ x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.265 * [taylor]: Taking taylor expansion of (+ x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.276 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.286 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.286 * [taylor]: Taking taylor expansion of -1 in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of -1 in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of -1 in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.296 * * * [progress]: simplifying candidates 0.297 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* 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) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 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 0.302 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.307 * * [simplify]: iteration 1 : 1017 enodes (cost 310 ) 0.323 * * [simplify]: iteration 2 : 3519 enodes (cost 272 ) 0.353 * * [simplify]: iteration 3 : 5001 enodes (cost 272 ) 0.355 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (/ 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 (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x 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 (/ 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 0.355 * * * [progress]: adding candidates to table 0.447 * * [progress]: iteration 3 / 4 0.447 * * * [progress]: picking best candidate 0.449 * * * * [pick]: Picked # 0.449 * * * [progress]: localizing error 0.460 * * * [progress]: generating rewritten candidates 0.460 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.469 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.476 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.488 * * * [progress]: generating series expansions 0.488 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.488 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.488 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (+ x y) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ x y) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ x y) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.500 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.500 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.501 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.503 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 1 in y 0.506 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.514 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.514 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.515 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.517 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of 1 in y 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.528 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.528 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 0.528 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [taylor]: Taking taylor expansion of (+ x y) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 0.528 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (+ x y) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 0.528 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (+ x y) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 0.534 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 0.534 * [taylor]: Taking taylor expansion of 3 in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.534 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 0.550 * [taylor]: Taking taylor expansion of 6 in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.550 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.567 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.568 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.568 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.570 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of 1 in y 0.574 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 0.574 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of 3 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of 6 in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.588 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.588 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.588 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.588 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.590 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of 1 in y 0.594 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 0.594 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 0.594 * [taylor]: Taking taylor expansion of 3 in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.600 * [taylor]: Taking taylor expansion of 6 in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.608 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.608 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.608 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of (+ x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (+ x y) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (+ x y) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.613 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.619 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.619 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.620 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.622 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of 1 in y 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.637 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.637 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.638 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.640 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of 1 in y 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.650 * * * [progress]: simplifying candidates 0.652 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (/ x (+ x y)) 3))) (log1p (cbrt (pow (/ x (+ x y)) 3))) (log (cbrt (pow (/ x (+ x y)) 3))) (exp (cbrt (pow (/ x (+ x y)) 3))) (cbrt (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) 3)) (cbrt (pow (cbrt (/ x (+ x y))) 3)) (cbrt (pow (sqrt (/ x (+ x y))) 3)) (cbrt (pow (sqrt (/ x (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ x y)) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) 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(pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 0 0 0 0.659 * * [simplify]: iteration 0 : 396 enodes (cost 820 ) 0.668 * * [simplify]: iteration 1 : 1788 enodes (cost 741 ) 0.698 * * [simplify]: iteration 2 : 5001 enodes (cost 733 ) 0.704 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (/ x (+ 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 (+ 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(/ (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 0 0 0 0 0 0.705 * * * [progress]: adding candidates to table 0.878 * [progress]: [Phase 3 of 3] Extracting. 0.878 * * [regime]: Finding splitpoints for: (# # #) 0.879 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 0.879 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 0.893 * * * * [regimes]: Trying to branch on y from (# # #) 0.906 * * * * [regimes]: Trying to branch on x from (# # #) 0.918 * * * [regime]: Found split indices: #