6.765 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (+ x y) (+ y 1.0)) 0.019 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (/ (+ x y) (+ y 1.0)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.041 * [taylor]: Taking taylor expansion of (+ x y) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.041 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.043 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) 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 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.052 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 1.0 in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.066 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.075 * * * [progress]: simplifying candidates 0.076 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (+ y 1.0))) (log1p (/ (+ x y) (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (exp (/ (+ x y) (+ y 1.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))) (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (- (+ x y)) (- (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y 1.0))) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (cbrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) 1) (/ (+ x y) 1) (/ (+ y 1.0) (cbrt (+ x y))) (/ (+ y 1.0) (sqrt (+ x y))) (/ (+ y 1.0) (+ x y)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (+ y 1.0) (+ (* x x) (- (* y y) (* x y)))) (* (+ y 1.0) (- x y)) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.080 * * [simplify]: iteration 0 : 197 enodes (cost 262 ) 0.083 * * [simplify]: iteration 1 : 620 enodes (cost 246 ) 0.093 * * [simplify]: iteration 2 : 1970 enodes (cost 245 ) 0.123 * * [simplify]: iteration 3 : 5001 enodes (cost 245 ) 0.125 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y 1.0))) (log1p (/ (+ x y) (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (exp (/ (+ x y) (+ y 1.0))) (pow (/ (+ x y) (+ y 1.0)) 3) (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))) (pow (/ (+ x y) (+ y 1.0)) 3) (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (- (+ x y)) (- (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y 1.0))) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y 1.0)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (cbrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) 1 (/ (+ x y) (+ y 1.0)) 1 (/ (+ x y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) 1 (/ (+ x y) (+ y 1.0)) 1 (/ (+ x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ y 1.0) (cbrt (+ x y))) (/ (+ y 1.0) (sqrt (+ x y))) (/ (+ y 1.0) (+ x y)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (fma y (- y x) (* x x)) (+ 1.0 y)) (* (+ y 1.0) (- x y)) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.125 * * * [progress]: adding candidates to table 0.195 * * [progress]: iteration 2 / 4 0.195 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.201 * * * [progress]: generating rewritten candidates 0.201 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.224 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.232 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.232 * [taylor]: Taking taylor expansion of (+ x y) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 1.0 in y 0.233 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.233 * [taylor]: Taking taylor expansion of (+ x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.233 * [taylor]: Taking taylor expansion of (+ x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 1.0 in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.235 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 1.0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 1.0 in y 0.240 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 1.0 in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.243 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 1.0 in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.251 * [taylor]: Taking taylor expansion of -1 in y 0.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of 1.0 in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.253 * [taylor]: Taking taylor expansion of -1 in x 0.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.253 * [taylor]: Taking taylor expansion of -1 in x 0.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) 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 0.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 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 (- 1.0 (/ 1 y))) in y 0.254 * [taylor]: Taking taylor expansion of -1 in y 0.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.255 * [taylor]: Taking taylor expansion of 1.0 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.257 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.257 * [taylor]: Taking taylor expansion of 1.0 in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.270 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.270 * [approximate]: Taking taylor expansion of (/ 1 (+ y 1.0)) in (y) around 0 0.270 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.270 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.271 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in (y) around 0 0.276 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.284 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in (y) around 0 0.284 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.284 * [taylor]: Taking taylor expansion of 1.0 in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.285 * [taylor]: Taking taylor expansion of 1.0 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.292 * * * [progress]: simplifying candidates 0.294 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (/ 1 (+ y 1.0)))) (log1p (* (+ x y) (/ 1 (+ y 1.0)))) (* (+ x y) (/ 1 (+ y 1.0))) (+ (log (+ x y)) (- (log (+ y 1.0)))) (+ (log (+ x y)) (- 0 (log (+ y 1.0)))) (+ (log (+ x y)) (- (log 1) (log (+ y 1.0)))) (+ (log (+ x y)) (log (/ 1 (+ y 1.0)))) (log (* (+ x y) (/ 1 (+ y 1.0)))) (exp (* (+ x y) (/ 1 (+ y 1.0)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0)))) (* (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (cbrt (* (+ x y) (/ 1 (+ y 1.0))))) (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (* (* (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0)))) (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (* (+ (pow x 3) (pow y 3)) 1) (* (+ (* x x) (- (* y y) (* x y))) (+ y 1.0)) (* (- (* x x) (* y y)) 1) (* (- x y) (+ y 1.0)) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ 1 (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ 1 (sqrt (+ y 1.0)))) (* (+ x y) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0))))) (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y 1.0)))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x y) (/ (sqrt 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (+ x y) (/ (sqrt 1) 1)) (* (+ x y) (/ (sqrt 1) 1)) (* (+ x y) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ 1 (sqrt (+ y 1.0)))) (* (+ x y) (/ 1 1)) (* (+ x y) (/ 1 1)) (* (+ x y) 1) (* (+ x y) 1) (* (+ x y) (/ 1 (+ (pow y 3) (pow 1.0 3)))) (* (+ x y) (/ 1 (- (* y y) (* 1.0 1.0)))) (* (cbrt (+ x y)) (/ 1 (+ y 1.0))) (* (sqrt (+ x y)) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) 1) (* (+ (pow x 3) (pow y 3)) (/ 1 (+ y 1.0))) (* (- (* x x) (* y y)) (/ 1 (+ y 1.0))) (expm1 (/ 1 (+ y 1.0))) (log1p (/ 1 (+ y 1.0))) (- 1) (- (log (+ y 1.0))) (- 0 (log (+ y 1.0))) (- (log 1) (log (+ y 1.0))) (log (/ 1 (+ y 1.0))) (exp (/ 1 (+ y 1.0))) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0)))) (cbrt (/ 1 (+ y 1.0))) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (- 1) (- (+ y 1.0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt 1) (cbrt (+ y 1.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y 1.0)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y 1.0)) (/ (sqrt 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt 1) (cbrt (+ y 1.0))) (/ (sqrt 1) (sqrt (+ y 1.0))) (/ (sqrt 1) (sqrt (+ y 1.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y 1.0)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 1) (/ 1 (+ y 1.0)) (/ 1 1) (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) 1) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (+ y 1.0))) (/ 1 1) (/ 1 1) (/ (+ y 1.0) (cbrt 1)) (/ (+ y 1.0) (sqrt 1)) (/ (+ y 1.0) 1) (/ 1 (+ (pow y 3) (pow 1.0 3))) (/ 1 (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (pow y 2)) 1.0) (* 1.0 y)) (- (+ (/ 1 y) (* 1.0 (/ 1 (pow y 3)))) (* 1.0 (/ 1 (pow y 2)))) (- (+ (/ 1 y) (* 1.0 (/ 1 (pow y 3)))) (* 1.0 (/ 1 (pow y 2)))) 0.299 * * [simplify]: iteration 0 : 361 enodes (cost 480 ) 0.306 * * [simplify]: iteration 1 : 1694 enodes (cost 416 ) 0.333 * * [simplify]: iteration 2 : 5002 enodes (cost 380 ) 0.336 * [simplify]: Simplified to: (expm1 (* (+ x y) (/ 1 (+ y 1.0)))) (log1p (* (+ x y) (/ 1 (+ y 1.0)))) (/ (+ x y) (+ y 1.0)) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (exp (* (+ x y) (/ 1 (+ y 1.0)))) (pow (/ (+ x y) (+ y 1.0)) 3) (pow (/ (+ x y) (+ y 1.0)) 3) (* (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (cbrt (* (+ x y) (/ 1 (+ y 1.0))))) (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (pow (/ (+ x y) (+ y 1.0)) 3) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (+ (pow x 3) (pow y 3)) (* (fma y (- y x) (* x x)) (+ y 1.0)) (- (* x x) (* y y)) (* (- x y) (+ y 1.0)) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (* (+ x y) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0))))) (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (+ x y) (+ x y) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (+ x y) (/ (+ (pow x 3) (pow y 3)) (+ y 1.0)) (/ (- (* x x) (* y y)) (+ y 1.0)) (expm1 (/ 1 (+ y 1.0))) (log1p (/ 1 (+ y 1.0))) (- 1) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (exp (/ 1 (+ y 1.0))) (/ 1 (pow (+ y 1.0) 3)) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0)))) (cbrt (/ 1 (+ y 1.0))) (/ 1 (pow (+ y 1.0) 3)) (sqrt (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (- 1) (- (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0)) (+ y 1.0) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (+ y 1.0))) 1 1 (+ y 1.0) (+ y 1.0) (+ y 1.0) (/ 1 (+ (pow y 3) (pow 1.0 3))) (/ 1 (- (* y y) (* 1.0 1.0))) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (fma (pow y 2) 1.0 (- 1.0 (* 1.0 y))) (fma 1.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2))) (/ 1 y)) (fma 1.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2))) (/ 1 y)) 0.336 * * * [progress]: adding candidates to table 0.468 * [progress]: [Phase 3 of 3] Extracting. 0.468 * * [regime]: Finding splitpoints for: (# #) 0.468 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y 1.0)) y x) 0.468 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y 1.0)) from (# #) 0.479 * * * * [regimes]: Trying to branch on y from (# #) 0.489 * * * * [regimes]: Trying to branch on x from (# #) 0.502 * * * [regime]: Found split indices: #