17.598 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (* x y) (+ y 1.0)) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.022 * * [simplify]: iteration 4 : 18 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.036 * [taylor]: Taking taylor expansion of (* x y) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.036 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of (* x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of (* x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.038 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.039 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.039 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.039 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 1 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.040 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.041 * [taylor]: Taking taylor expansion of 1.0 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 y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.041 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.041 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * * * [progress]: simplifying candidates 0.043 * [simplify]: Simplifying using # : (- (+ (log x) (log y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (+ y 1.0) (+ y 1.0)) (+ 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))) (neg (* x y)) (neg (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x 1) (/ y (+ y 1.0)) (/ x 1) (/ 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) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.047 * * [simplify]: iteration 0 : 196 enodes (cost 146 ) 0.051 * * [simplify]: iteration 1 : 876 enodes (cost 121 ) 0.068 * * [simplify]: iteration 2 : 4575 enodes (cost 120 ) 0.168 * * [simplify]: iteration 3 : 5001 enodes (cost 120 ) 0.169 * [simplify]: Simplified to: (log (/ (* 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) (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))) (neg (* x y)) (neg (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) x (/ y (+ y 1.0)) 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) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) 0.169 * * * [progress]: adding candidates to table 0.204 * * [progress]: iteration 2 / 4 0.204 * * * [progress]: picking best candidate 0.214 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.226 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.239 * * * [progress]: generating series expansions 0.239 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.239 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.239 * [taylor]: Taking taylor expansion of (* x y) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 1.0 in y 0.239 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.239 * [taylor]: Taking taylor expansion of (* x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.239 * [taylor]: Taking taylor expansion of (* x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 1.0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.241 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) 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 0.241 * [taylor]: Taking taylor expansion of 1.0 in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.241 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) 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 y in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.241 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) 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 y in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.242 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.242 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.242 * [taylor]: Taking taylor expansion of 1.0 in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 1 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.243 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.243 * [taylor]: Taking taylor expansion of 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 y in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.243 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.244 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.244 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.244 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.244 * [taylor]: Taking taylor expansion of 1.0 in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.246 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) y) in (y) around 0 0.246 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 0.246 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 1.0 in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 0.246 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 1.0 in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in (y) around 0 0.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 1.0 in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 1.0 in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.248 * [approximate]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in (y) around 0 0.248 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 0.248 * [taylor]: Taking taylor expansion of -1 in y 0.248 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.248 * [taylor]: Taking taylor expansion of 1.0 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 0.248 * [taylor]: Taking taylor expansion of -1 in y 0.248 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.248 * [taylor]: Taking taylor expansion of 1.0 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.250 * * * [progress]: simplifying candidates 0.251 * [simplify]: Simplifying using # : (- (log x) (- (log (+ y 1.0)) (log y))) (- (log x) (log (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (exp (/ x (/ (+ y 1.0) y))) (/ (* (* x x) x) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y))) (/ (* (* x x) x) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y))) (* (cbrt (/ x (/ (+ y 1.0) y))) (cbrt (/ x (/ (+ y 1.0) y)))) (cbrt (/ x (/ (+ y 1.0) y))) (* (* (/ x (/ (+ y 1.0) y)) (/ x (/ (+ y 1.0) y))) (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (neg x) (neg (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (cbrt x) (cbrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ y 1.0) y))) (/ (cbrt x) (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ (cbrt x) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) 1)) (/ (cbrt x) (/ (sqrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (+ y 1.0)) (/ (cbrt x) (/ 1 y)) (/ (sqrt x) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (sqrt x) (cbrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ (sqrt x) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) 1)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) 1) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (+ y 1.0)) (/ (sqrt x) (/ 1 y)) (/ 1 (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (cbrt (/ (+ y 1.0) y))) (/ 1 (sqrt (/ (+ y 1.0) y))) (/ x (sqrt (/ (+ y 1.0) y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (cbrt (+ y 1.0)) (cbrt y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (/ (cbrt (+ y 1.0)) (sqrt y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ x (/ (cbrt (+ y 1.0)) y)) (/ 1 (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (cbrt y))) (/ 1 (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (/ (sqrt (+ y 1.0)) 1)) (/ x (/ (sqrt (+ y 1.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ (+ y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ (+ y 1.0) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ (+ y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ (+ y 1.0) y)) (/ 1 1) (/ x (/ (+ y 1.0) y)) (/ 1 (+ y 1.0)) (/ x (/ 1 y)) (/ 1 (/ (+ y 1.0) y)) (/ (/ (+ y 1.0) y) x) (/ x (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (sqrt (/ (+ y 1.0) y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ x (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (/ (sqrt (+ y 1.0)) 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x 1) (/ x (+ y 1.0)) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ x (+ y 1.0)) (- (log (+ y 1.0)) (log y)) (log (/ (+ y 1.0) y)) (exp (/ (+ y 1.0) y)) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y))) (cbrt (/ (+ y 1.0) y)) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y)) (sqrt (/ (+ y 1.0) y)) (sqrt (/ (+ y 1.0) y)) (neg (+ y 1.0)) (neg y) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ y 1.0)) (cbrt y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y)) (/ (cbrt (+ y 1.0)) (sqrt y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1) (/ (cbrt (+ y 1.0)) y) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ y 1.0)) (cbrt y)) (/ (sqrt (+ y 1.0)) (sqrt y)) (/ (sqrt (+ y 1.0)) (sqrt y)) (/ (sqrt (+ y 1.0)) 1) (/ (sqrt (+ y 1.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (+ y 1.0) (sqrt y)) (/ 1 1) (/ (+ y 1.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (+ y 1.0) (sqrt y)) (/ 1 1) (/ (+ y 1.0) y) (/ 1 y) (/ y (+ y 1.0)) (/ (+ y 1.0) (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) 1) (/ y (cbrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ y (+ y 1.0)) (/ y (+ y 1.0)) (* y (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (* y (- y 1.0)) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (+ (* 1.0 (/ 1 y)) 1) (+ (* 1.0 (/ 1 y)) 1) (+ (* 1.0 (/ 1 y)) 1) 0.258 * * [simplify]: iteration 0 : 426 enodes (cost 819 ) 0.267 * * [simplify]: iteration 1 : 1855 enodes (cost 780 ) 0.299 * * [simplify]: iteration 2 : 5002 enodes (cost 778 ) 0.304 * [simplify]: Simplified to: (log (/ x (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (exp (/ x (/ (+ y 1.0) y))) (pow (/ x (/ (+ y 1.0) y)) 3) (pow (/ x (/ (+ y 1.0) y)) 3) (* (cbrt (/ x (/ (+ y 1.0) y))) (cbrt (/ x (/ (+ y 1.0) y)))) (cbrt (/ x (/ (+ y 1.0) y))) (pow (/ x (/ (+ y 1.0) y)) 3) (sqrt (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (neg x) (neg (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (cbrt x) (cbrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ y 1.0) y))) (/ (cbrt x) (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (cbrt x))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt x))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) y)) (* (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (* (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (* (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (* (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (+ y 1.0)) (* y (cbrt x)) (/ (sqrt x) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (sqrt x) (cbrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) y)) (* (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (* (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (+ y 1.0)) (* (sqrt x) y) (/ 1 (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (cbrt (/ (+ y 1.0) y))) (/ 1 (sqrt (/ (+ y 1.0) y))) (/ x (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) (sqrt y))) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) y)) (* (cbrt y) (cbrt y)) (/ x (/ (+ y 1.0) (cbrt y))) (sqrt y) (/ x (/ (+ y 1.0) (sqrt y))) 1 (/ x (/ (+ y 1.0) y)) (* (cbrt y) (cbrt y)) (/ x (/ (+ y 1.0) (cbrt y))) (sqrt y) (/ x (/ (+ y 1.0) (sqrt y))) 1 (/ x (/ (+ y 1.0) y)) 1 (/ x (/ (+ y 1.0) y)) (/ 1 (+ y 1.0)) (* x y) (/ y (+ y 1.0)) (/ (/ (+ y 1.0) y) x) (/ x (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (sqrt (/ (+ y 1.0) y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (sqrt (+ y 1.0))) (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) x (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) x x (/ x (+ y 1.0)) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ x (+ y 1.0)) (log (/ (+ y 1.0) y)) (log (/ (+ y 1.0) y)) (exp (/ (+ y 1.0) y)) (pow (/ (+ y 1.0) y) 3) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y))) (cbrt (/ (+ y 1.0) y)) (pow (/ (+ y 1.0) y) 3) (sqrt (/ (+ y 1.0) y)) (sqrt (/ (+ y 1.0) y)) (neg (+ y 1.0)) (neg y) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ y 1.0)) (cbrt y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y)) (/ (cbrt (+ y 1.0)) (sqrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (/ (cbrt (+ y 1.0)) y) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ y 1.0)) (cbrt y)) (/ (sqrt (+ y 1.0)) (sqrt y)) (/ (sqrt (+ y 1.0)) (sqrt y)) (sqrt (+ y 1.0)) (/ (sqrt (+ y 1.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (+ y 1.0) (sqrt y)) 1 (/ (+ y 1.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (+ y 1.0) (sqrt y)) 1 (/ (+ y 1.0) y) (/ 1 y) (/ y (+ y 1.0)) (/ (+ y 1.0) (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (sqrt y)) (+ y 1.0) (/ y (cbrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ y (+ y 1.0)) (/ y (+ y 1.0)) (* (+ (* 1.0 (- 1.0 y)) (pow y 2)) y) (* y (- y 1.0)) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ (* 1.0 (/ 1 y)) 1) (+ (* 1.0 (/ 1 y)) 1) (+ (* 1.0 (/ 1 y)) 1) 0.304 * * * [progress]: adding candidates to table 0.420 * * [progress]: iteration 3 / 4 0.420 * * * [progress]: picking best candidate 0.427 * * * * [pick]: Picked # 0.427 * * * [progress]: localizing error 0.436 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.463 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.466 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.469 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.476 * * * [progress]: generating series expansions 0.476 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.477 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.477 * [taylor]: Taking taylor expansion of (* x y) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of 1.0 in y 0.477 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (* x y) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (* x y) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of 1.0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.478 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 1.0 in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.479 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.479 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.480 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.480 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.480 * [taylor]: Taking taylor expansion of 1.0 in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of 1 in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.481 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.481 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.481 * [taylor]: Taking taylor expansion of 1.0 in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.481 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.482 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.482 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.482 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.482 * [taylor]: Taking taylor expansion of 1.0 in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.483 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.484 * [approximate]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in (y) around 0 0.484 * [taylor]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in y 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ y 1.0)))) in y 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ y 1.0))) in y 0.484 * [taylor]: Taking taylor expansion of 1/3 in y 0.484 * [taylor]: Taking taylor expansion of (log (+ y 1.0)) in y 0.484 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of 1.0 in y 0.484 * [taylor]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in y 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ y 1.0)))) in y 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ y 1.0))) in y 0.484 * [taylor]: Taking taylor expansion of 1/3 in y 0.484 * [taylor]: Taking taylor expansion of (log (+ y 1.0)) in y 0.484 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of 1.0 in y 0.485 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in (y) around 0 0.485 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in y 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) 1.0)))) in y 0.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) 1.0))) in y 0.485 * [taylor]: Taking taylor expansion of 1/3 in y 0.485 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) 1.0)) in y 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 1.0 in y 0.486 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in y 0.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) 1.0)))) in y 0.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) 1.0))) in y 0.486 * [taylor]: Taking taylor expansion of 1/3 in y 0.486 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) 1.0)) in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) 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 1.0 in y 0.487 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in (y) around 0 0.487 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in y 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 y))))) in y 0.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 y)))) in y 0.487 * [taylor]: Taking taylor expansion of 1/3 in y 0.487 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 y))) in y 0.487 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.487 * [taylor]: Taking taylor expansion of 1.0 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in y 0.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 y))))) in y 0.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 y)))) in y 0.488 * [taylor]: Taking taylor expansion of 1/3 in y 0.488 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 y))) in y 0.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.488 * [taylor]: Taking taylor expansion of 1.0 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.489 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.489 * [approximate]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in (y) around 0 0.489 * [taylor]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in y 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ y 1.0)))) in y 0.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ y 1.0))) in y 0.490 * [taylor]: Taking taylor expansion of 1/3 in y 0.490 * [taylor]: Taking taylor expansion of (log (+ y 1.0)) in y 0.490 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 1.0 in y 0.490 * [taylor]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in y 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ y 1.0)))) in y 0.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ y 1.0))) in y 0.490 * [taylor]: Taking taylor expansion of 1/3 in y 0.490 * [taylor]: Taking taylor expansion of (log (+ y 1.0)) in y 0.490 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 1.0 in y 0.491 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in (y) around 0 0.491 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in y 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) 1.0)))) in y 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) 1.0))) in y 0.491 * [taylor]: Taking taylor expansion of 1/3 in y 0.491 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) 1.0)) in y 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 1.0 in y 0.492 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in y 0.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) 1.0)))) in y 0.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) 1.0))) in y 0.492 * [taylor]: Taking taylor expansion of 1/3 in y 0.492 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) 1.0)) in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of 1.0 in y 0.493 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in (y) around 0 0.493 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in y 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 y))))) in y 0.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 y)))) in y 0.493 * [taylor]: Taking taylor expansion of 1/3 in y 0.493 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 y))) in y 0.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.493 * [taylor]: Taking taylor expansion of 1.0 in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in y 0.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 y))))) in y 0.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 y)))) in y 0.494 * [taylor]: Taking taylor expansion of 1/3 in y 0.494 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 y))) in y 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.494 * [taylor]: Taking taylor expansion of 1.0 in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.495 * [approximate]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in (y) around 0 0.495 * [taylor]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in y 0.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ y 1.0)))) in y 0.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ y 1.0))) in y 0.495 * [taylor]: Taking taylor expansion of 1/3 in y 0.495 * [taylor]: Taking taylor expansion of (log (+ y 1.0)) in y 0.495 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 1.0 in y 0.496 * [taylor]: Taking taylor expansion of (pow (+ y 1.0) 1/3) in y 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ y 1.0)))) in y 0.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ y 1.0))) in y 0.496 * [taylor]: Taking taylor expansion of 1/3 in y 0.496 * [taylor]: Taking taylor expansion of (log (+ y 1.0)) in y 0.496 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of 1.0 in y 0.497 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in (y) around 0 0.497 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in y 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) 1.0)))) in y 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) 1.0))) in y 0.497 * [taylor]: Taking taylor expansion of 1/3 in y 0.497 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) 1.0)) in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 1.0 in y 0.497 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 1/3) in y 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) 1.0)))) in y 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) 1.0))) in y 0.497 * [taylor]: Taking taylor expansion of 1/3 in y 0.497 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) 1.0)) in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of 1.0 in y 0.499 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in (y) around 0 0.499 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in y 0.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 y))))) in y 0.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 y)))) in y 0.499 * [taylor]: Taking taylor expansion of 1/3 in y 0.499 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 y))) in y 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.499 * [taylor]: Taking taylor expansion of 1.0 in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 1/3) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 y))))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 y)))) in y 0.500 * [taylor]: Taking taylor expansion of 1/3 in y 0.500 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 y))) in y 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.500 * [taylor]: Taking taylor expansion of 1.0 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 * * * [progress]: simplifying candidates 0.503 * [simplify]: Simplifying using # : (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))) (+ (- (log x) (+ (log (cbrt (+ y 1.0))) (log (cbrt (+ y 1.0))))) (- (log y) (log (cbrt (+ y 1.0))))) (+ (- (log x) (+ (log (cbrt (+ y 1.0))) (log (cbrt (+ y 1.0))))) (log (/ y (cbrt (+ y 1.0))))) (+ (- (log x) (log (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (- (log y) (log (cbrt (+ y 1.0))))) (+ (- (log x) (log (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (log (/ y (cbrt (+ y 1.0))))) (+ (log (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (- (log y) (log (cbrt (+ y 1.0))))) (+ (log (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (log (/ y (cbrt (+ y 1.0))))) (log (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (exp (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (* (/ (* (* x x) x) (* (+ y 1.0) (+ y 1.0))) (/ (* (* y y) y) (+ y 1.0))) (* (/ (* (* x x) x) (* (+ y 1.0) (+ y 1.0))) (* (* (/ y (cbrt (+ y 1.0))) (/ y (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (* (/ (* (* x x) x) (* (* (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (* (* y y) y) (+ y 1.0))) (* (/ (* (* x x) x) (* (* (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (* (/ y (cbrt (+ y 1.0))) (/ y (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (* (* (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (* (* y y) y) (+ y 1.0))) (* (* (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (* (/ y (cbrt (+ y 1.0))) (/ y (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (* (cbrt (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (cbrt (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))))) (cbrt (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (* (* (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (sqrt (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (sqrt (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))))) (* x y) (* (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (cbrt (+ y 1.0))) (* (sqrt (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (sqrt (/ y (cbrt (+ y 1.0))))) (* (sqrt (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (sqrt (/ y (cbrt (+ y 1.0))))) (* (sqrt (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (sqrt y) (cbrt (sqrt (+ y 1.0))))) (* (sqrt (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (sqrt y) (cbrt (sqrt (+ y 1.0))))) (* (sqrt (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (sqrt y) (sqrt (cbrt (+ y 1.0))))) (* (sqrt (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (sqrt y) (sqrt (cbrt (+ y 1.0))))) (* (/ (sqrt x) (cbrt (+ y 1.0))) (sqrt (/ y (cbrt (+ y 1.0))))) (* (/ (sqrt x) (cbrt (+ y 1.0))) (sqrt (/ y (cbrt (+ y 1.0))))) (* (/ (sqrt x) (cbrt (+ y 1.0))) (/ (sqrt y) (cbrt (sqrt (+ y 1.0))))) (* (/ (sqrt x) (cbrt (+ y 1.0))) (/ (sqrt y) (cbrt (sqrt (+ y 1.0))))) (* (/ (sqrt x) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (cbrt (+ y 1.0))))) (* (/ (sqrt x) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (cbrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* (cbrt (/ y (cbrt (+ y 1.0)))) (cbrt (/ y (cbrt (+ y 1.0)))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (/ y (cbrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt y) (cbrt y)) (cbrt (sqrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt y) (cbrt y)) (cbrt 1))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt y) (cbrt y)) (cbrt 1))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (+ y 1.0))) (cbrt (cbrt (+ y 1.0)))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (cbrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt y) (cbrt y)) 1)) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (sqrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt 1))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt 1))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (* (cbrt (cbrt (+ y 1.0))) (cbrt (cbrt (+ y 1.0)))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (sqrt (cbrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) 1)) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (sqrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt 1))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt 1))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (* (cbrt (cbrt (+ y 1.0))) (cbrt (cbrt (+ y 1.0)))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (cbrt (+ y 1.0))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 1)) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 1) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) y) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ (pow y 3) (pow 1.0 3))))) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (- (* y y) (* 1.0 1.0))))) (* (cbrt (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 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2)))) (- (+ (pow 1.0 1/3) (+ (* 0.05555555555555555 (* (pow y 2) (pow 1.0 1/3))) (* 0.3333333333333333 (* y (pow 1.0 1/3))))) (* 1/6 (* (pow y 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) y))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (pow y 2)))) (- (+ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 y))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 y))))) y))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 y))))) (pow y 2)))) 0.512 * * [simplify]: iteration 0 : 637 enodes (cost 1368 ) 0.524 * * [simplify]: iteration 1 : 2832 enodes (cost 1221 ) 0.569 * * [simplify]: iteration 2 : 5001 enodes (cost 1156 ) 0.575 * [simplify]: Simplified to: (/ (* x y) (pow (cbrt (+ y 1.0)) 3)) (- (log (* x y)) (log (pow (cbrt (+ y 1.0)) 3))) (- (log (* x y)) (log (pow (cbrt (+ y 1.0)) 3))) (- (log (* x y)) (log (pow (cbrt (+ y 1.0)) 3))) (- (log (* x 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0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) y))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (pow y 2)))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) y))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) (pow y 2)))) (+ (pow 1.0 1/3) (+ (* (pow 1.0 1/3) (+ (* 0.3333333333333333 y) (* 0.05555555555555555 (pow y 2)))) (* -1/6 (* (pow y 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) y))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (pow y 2)))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) y))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) (pow y 2)))) (+ (pow 1.0 1/3) (+ (* (pow 1.0 1/3) (+ (* 0.3333333333333333 y) (* 0.05555555555555555 (pow y 2)))) (* -1/6 (* (pow y 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) y))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 y))))) (pow y 2)))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) y))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 y))))) (pow y 2)))) 0.576 * * * [progress]: adding candidates to table 0.842 * * [progress]: iteration 4 / 4 0.842 * * * [progress]: picking best candidate 0.846 * * * * [pick]: Picked # 0.846 * * * [progress]: localizing error 0.851 * * * [progress]: generating rewritten candidates 0.851 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.859 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.866 * * * [progress]: generating series expansions 0.866 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.866 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.866 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.866 * [taylor]: Taking taylor expansion of (* x y) in y 0.867 * [taylor]: Taking taylor expansion of x in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 1.0 in y 0.867 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.867 * [taylor]: Taking taylor expansion of (* x y) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.867 * [taylor]: Taking taylor expansion of (* x y) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 1.0 in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.868 * [taylor]: Taking taylor expansion of 0 in y 0.868 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.868 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.868 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of 1.0 in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.868 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.869 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.869 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.869 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.869 * [taylor]: Taking taylor expansion of 1.0 in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 1 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.871 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.871 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.871 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.871 * [taylor]: Taking taylor expansion of x in y 0.871 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.871 * [taylor]: Taking taylor expansion of 1.0 in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.871 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.871 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.872 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.872 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.872 * [taylor]: Taking taylor expansion of 1.0 in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of 1 in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.873 * [taylor]: Taking taylor expansion of 0 in y 0.873 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.873 * [approximate]: Taking taylor expansion of (/ x (+ y 1.0)) in (x y) around 0 0.873 * [taylor]: Taking taylor expansion of (/ x (+ y 1.0)) in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of 1.0 in y 0.873 * [taylor]: Taking taylor expansion of (/ x (+ y 1.0)) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (/ x (+ y 1.0)) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.874 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 1.0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) 1.0))) in (x y) around 0 0.874 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) 1.0))) in y 0.874 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 1.0 in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) 1.0))) in x 0.874 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) 1.0))) in x 0.875 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of 1.0 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.876 * [taylor]: Taking taylor expansion of 0 in y 0.876 * [approximate]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 y)))) in (x y) around 0 0.876 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 y)))) in y 0.876 * [taylor]: Taking taylor expansion of -1 in y 0.876 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in y 0.876 * [taylor]: Taking taylor expansion of x in y 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.876 * [taylor]: Taking taylor expansion of 1.0 in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 y)))) in x 0.876 * [taylor]: Taking taylor expansion of -1 in x 0.876 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.877 * [taylor]: Taking taylor expansion of 1.0 in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 y)))) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.877 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.877 * [taylor]: Taking taylor expansion of 1.0 in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.877 * [taylor]: Taking taylor expansion of -1 in y 0.877 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.877 * [taylor]: Taking taylor expansion of 1.0 in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.878 * * * [progress]: simplifying candidates 0.879 * [simplify]: Simplifying using # : (* (/ x (+ y 1.0)) y) (+ (- (log x) (log (+ y 1.0))) (log y)) (+ (log (/ x (+ y 1.0))) (log y)) (log (* (/ x (+ y 1.0)) y)) (exp (* (/ x (+ y 1.0)) y)) (* (/ (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (* y y) y)) (* (* (* (/ x (+ y 1.0)) (/ x (+ y 1.0))) (/ x (+ y 1.0))) (* (* y y) y)) (* (cbrt (* (/ x (+ y 1.0)) y)) (cbrt (* (/ x (+ y 1.0)) y))) (cbrt (* (/ x (+ y 1.0)) y)) (* (* (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y)) (* (/ x (+ y 1.0)) y)) (sqrt (* (/ x (+ y 1.0)) y)) (sqrt (* (/ x (+ y 1.0)) y)) (* (sqrt (/ x (+ y 1.0))) (sqrt y)) (* (sqrt (/ x (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ x (+ y 1.0)) (* (cbrt y) (cbrt y))) (* (/ x (+ y 1.0)) (sqrt y)) (* (/ x (+ y 1.0)) 1) (* (cbrt (/ x (+ y 1.0))) y) (* (sqrt (/ x (+ y 1.0))) y) (* (/ (cbrt x) (cbrt (+ y 1.0))) y) (* (/ (cbrt x) (sqrt (+ y 1.0))) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (sqrt x) (cbrt (+ y 1.0))) y) (* (/ (sqrt x) (sqrt (+ y 1.0))) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ x (cbrt (+ y 1.0))) y) (* (/ x (sqrt (+ y 1.0))) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (* (/ 1 (+ y 1.0)) y) (* (+ (* y y) (- (* 1.0 1.0) (* y 1.0))) y) (* (- y 1.0) y) (* x y) (- (log x) (log (+ y 1.0))) (log (/ x (+ y 1.0))) (exp (/ x (+ y 1.0))) (/ (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ x (+ y 1.0))) (cbrt (/ x (+ y 1.0)))) (cbrt (/ x (+ y 1.0))) (* (* (/ x (+ y 1.0)) (/ x (+ y 1.0))) (/ x (+ y 1.0))) (sqrt (/ x (+ y 1.0))) (sqrt (/ x (+ y 1.0))) (neg x) (neg (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt x) (cbrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y 1.0))) (/ (cbrt x) (sqrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y 1.0)) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt x) (cbrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (+ y 1.0)) (/ (sqrt x) 1) (/ (sqrt x) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ 1 1) (/ x (+ y 1.0)) (/ 1 1) (/ x (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) (/ x 1) (/ x 1) (/ (+ y 1.0) (cbrt x)) (/ (+ y 1.0) (sqrt x)) (/ (+ y 1.0) x) (/ x (+ (pow y 3) (pow 1.0 3))) (/ x (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ (* 1.0 (* x (pow y 2))) (* 1.0 x)) (* 1.0 (* x y))) (- (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (* 1.0 (/ x (pow y 2)))) (- (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (* 1.0 (/ x (pow y 2)))) 0.884 * * [simplify]: iteration 0 : 301 enodes (cost 381 ) 0.891 * * [simplify]: iteration 1 : 1184 enodes (cost 344 ) 0.915 * * [simplify]: iteration 2 : 5001 enodes (cost 343 ) 0.920 * [simplify]: Simplified to: (* (/ x (+ y 1.0)) y) (log (* (/ x (+ y 1.0)) y)) (log (* (/ x (+ y 1.0)) y)) (log (* (/ x (+ y 1.0)) y)) (exp (* (/ x (+ y 1.0)) y)) (pow (* (/ x (+ y 1.0)) y) 3) (pow (* (/ x (+ y 1.0)) y) 3) (* (cbrt (* (/ x (+ y 1.0)) y)) (cbrt (* (/ x (+ y 1.0)) y))) (cbrt (* (/ x (+ y 1.0)) y)) (pow (* (/ x (+ y 1.0)) y) 3) (sqrt (* (/ x (+ y 1.0)) y)) (sqrt (* (/ x (+ y 1.0)) y)) (* (sqrt (/ x (+ y 1.0))) (sqrt y)) (* (sqrt (/ x (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ x (+ y 1.0)) (* (cbrt y) (cbrt y))) (* (/ x (+ y 1.0)) (sqrt y)) (/ x (+ y 1.0)) (* (cbrt (/ x (+ y 1.0))) y) (* (sqrt (/ x (+ y 1.0))) y) (* (/ (cbrt x) (cbrt (+ y 1.0))) y) (* (/ (cbrt x) (sqrt (+ y 1.0))) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (sqrt x) (cbrt (+ y 1.0))) y) (* (/ (sqrt x) (sqrt (+ y 1.0))) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ x (cbrt (+ y 1.0))) y) (* (/ x (sqrt (+ y 1.0))) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (/ y (+ y 1.0)) (* y (+ (* 1.0 (- 1.0 y)) (pow y 2))) (* (- y 1.0) y) (* x y) (log (/ x (+ y 1.0))) (log (/ x (+ y 1.0))) (exp (/ x (+ y 1.0))) (pow (/ x (+ y 1.0)) 3) (* (cbrt (/ x (+ y 1.0))) (cbrt (/ x (+ y 1.0)))) (cbrt (/ x (+ y 1.0))) (pow (/ x (+ y 1.0)) 3) (sqrt (/ x (+ y 1.0))) (sqrt (/ x (+ y 1.0))) (neg x) (neg (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt x) (cbrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y 1.0))) (/ (cbrt x) (sqrt (+ y 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y 1.0)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y 1.0)) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt x) (cbrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt x) (/ (sqrt x) (+ y 1.0)) (sqrt x) (/ (sqrt x) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) 1 (/ x (+ y 1.0)) 1 (/ x (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x (/ (+ y 1.0) (cbrt x)) (/ (+ y 1.0) (sqrt x)) (/ (+ y 1.0) x) (/ x (+ (pow y 3) (pow 1.0 3))) (/ x (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (* 1.0 (- (+ (* x (pow y 2)) x) (* x y))) (- (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (* 1.0 (/ x (pow y 2)))) (- (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (* 1.0 (/ x (pow y 2)))) 0.920 * * * [progress]: adding candidates to table 0.993 * [progress]: [Phase 3 of 3] Extracting. 0.993 * * [regime]: Finding splitpoints for: (# # # #) 0.994 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.994 * * * * [regimes]: Trying to branch on y from (# # # #) 1.030 * * * * [regimes]: Trying to branch on x from (# # # #) 1.065 * * * [regime]: Found split indices: #