19.728 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ x (* y 3.0)) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.022 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.022 * [simplify]: Simplified to: (/ x (* y 3.0)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in y 0.034 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.034 * [taylor]: Taking taylor expansion of (/ x y) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in x 0.034 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.034 * [taylor]: Taking taylor expansion of (/ x y) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in x 0.034 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.034 * [taylor]: Taking taylor expansion of (/ x y) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 y) in y 0.034 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in y 0.039 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.040 * [taylor]: Taking taylor expansion of (/ y x) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.040 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.040 * [taylor]: Taking taylor expansion of (/ y x) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.040 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.040 * [taylor]: Taking taylor expansion of (/ y x) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.040 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in y 0.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.048 * [taylor]: Taking taylor expansion of (/ y x) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.048 * [taylor]: Taking taylor expansion of (/ y x) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.048 * [taylor]: Taking taylor expansion of (/ y x) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * * * [progress]: simplifying candidates 0.056 * [simplify]: Simplifying using # : (expm1 (/ x (* y 3.0))) (log1p (/ x (* y 3.0))) (- (log x) (+ (log y) (log 3.0))) (- (log x) (log (* y 3.0))) (log (/ x (* y 3.0))) (exp (/ x (* y 3.0))) (/ (* (* x x) x) (* (* (* y y) y) (* (* 3.0 3.0) 3.0))) (/ (* (* x x) x) (* (* (* y 3.0) (* y 3.0)) (* y 3.0))) (* (cbrt (/ x (* y 3.0))) (cbrt (/ x (* y 3.0)))) (cbrt (/ x (* y 3.0))) (* (* (/ x (* y 3.0)) (/ x (* y 3.0))) (/ x (* y 3.0))) (sqrt (/ x (* y 3.0))) (sqrt (/ x (* y 3.0))) (- x) (- (* y 3.0)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) 3.0) (/ (sqrt x) y) (/ (sqrt x) 3.0) (/ 1 y) (/ x 3.0) (/ 1 (* y 3.0)) (/ (* y 3.0) x) (/ x y) (/ (* y 3.0) (cbrt x)) (/ (* y 3.0) (sqrt x)) (/ (* y 3.0) x) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) 0.060 * * [simplify]: iteration 0 : 111 enodes (cost 92 ) 0.064 * * [simplify]: iteration 1 : 370 enodes (cost 77 ) 0.073 * * [simplify]: iteration 2 : 1511 enodes (cost 77 ) 0.101 * * [simplify]: iteration 3 : 4610 enodes (cost 77 ) 0.146 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.147 * [simplify]: Simplified to: (expm1 (/ x (* y 3.0))) (log1p (/ x (* y 3.0))) (log (/ x (* y 3.0))) (log (/ x (* y 3.0))) (log (/ x (* y 3.0))) (exp (/ x (* y 3.0))) (pow (/ x (* y 3.0)) 3) (pow (/ x (* y 3.0)) 3) (* (cbrt (/ x (* y 3.0))) (cbrt (/ x (* y 3.0)))) (cbrt (/ x (* y 3.0))) (pow (/ x (* y 3.0)) 3) (sqrt (/ x (* y 3.0))) (sqrt (/ x (* y 3.0))) (- x) (- (* y 3.0)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) 3.0) (/ (sqrt x) y) (/ (sqrt x) 3.0) (/ 1 y) (/ x 3.0) (/ 1 (* y 3.0)) (/ (* y 3.0) x) (/ x y) (/ (* y 3.0) (cbrt x)) (/ (* y 3.0) (sqrt x)) (/ (* y 3.0) x) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) 0.147 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.217 * * * [progress]: generating rewritten candidates 0.217 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.228 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in y 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.228 * [taylor]: Taking taylor expansion of (/ x y) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in x 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.228 * [taylor]: Taking taylor expansion of (/ x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in x 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.228 * [taylor]: Taking taylor expansion of (/ x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 y) in y 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in y 0.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.234 * [taylor]: Taking taylor expansion of (/ y x) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.234 * [taylor]: Taking taylor expansion of (/ y x) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.234 * [taylor]: Taking taylor expansion of (/ y x) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in y 0.242 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.242 * [taylor]: Taking taylor expansion of (/ y x) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.242 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.242 * [taylor]: Taking taylor expansion of (/ y x) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.242 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.242 * [taylor]: Taking taylor expansion of (/ y x) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * * * [progress]: simplifying candidates 0.252 * [simplify]: Simplifying using # : (expm1 (/ (/ x y) 3.0)) (log1p (/ (/ x y) 3.0)) (- (- (log x) (log y)) (log 3.0)) (- (log (/ x y)) (log 3.0)) (log (/ (/ x y) 3.0)) (exp (/ (/ x y) 3.0)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* 3.0 3.0) 3.0)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (/ x y) 3.0)) (cbrt (/ (/ x y) 3.0))) (cbrt (/ (/ x y) 3.0)) (* (* (/ (/ x y) 3.0) (/ (/ x y) 3.0)) (/ (/ x y) 3.0)) (sqrt (/ (/ x y) 3.0)) (sqrt (/ (/ x y) 3.0)) (- (/ x y)) (- 3.0) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (/ x y)) (cbrt 3.0)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt 3.0)) (/ (cbrt (/ x y)) (sqrt 3.0)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) 3.0) (/ (sqrt (/ x y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (/ x y)) (cbrt 3.0)) (/ (sqrt (/ x y)) (sqrt 3.0)) (/ (sqrt (/ x y)) (sqrt 3.0)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) 3.0) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (cbrt x) (cbrt y)) (cbrt 3.0)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ (cbrt x) (cbrt y)) (sqrt 3.0)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) 3.0) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (cbrt x) (sqrt y)) (cbrt 3.0)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt 3.0)) (/ (/ (cbrt x) (sqrt y)) (sqrt 3.0)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) 3.0) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (cbrt x) y) (cbrt 3.0)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt 3.0)) (/ (/ (cbrt x) y) (sqrt 3.0)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) 3.0) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sqrt x) (cbrt y)) (cbrt 3.0)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ (sqrt x) (cbrt y)) (sqrt 3.0)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) 3.0) (/ (/ (sqrt x) (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sqrt x) (sqrt y)) (cbrt 3.0)) (/ (/ (sqrt x) (sqrt y)) (sqrt 3.0)) (/ (/ (sqrt x) (sqrt y)) (sqrt 3.0)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) 3.0) (/ (/ (sqrt x) 1) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sqrt x) y) (cbrt 3.0)) (/ (/ (sqrt x) 1) (sqrt 3.0)) (/ (/ (sqrt x) y) (sqrt 3.0)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) 3.0) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x (cbrt y)) (cbrt 3.0)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ x (cbrt y)) (sqrt 3.0)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) 3.0) (/ (/ 1 (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x (sqrt y)) (cbrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ (/ x (sqrt y)) (sqrt 3.0)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) 3.0) (/ (/ 1 1) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x y) (cbrt 3.0)) (/ (/ 1 1) (sqrt 3.0)) (/ (/ x y) (sqrt 3.0)) (/ (/ 1 1) 1) (/ (/ x y) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ x y) (sqrt 3.0)) (/ 1 1) (/ (/ x y) 3.0) (/ x (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ x (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) (/ x 1) (/ (/ 1 y) 3.0) (/ 1 3.0) (/ 3.0 (/ x y)) (/ (/ x y) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x y) (sqrt 3.0)) (/ (/ x y) 1) (/ 3.0 (cbrt (/ x y))) (/ 3.0 (sqrt (/ x y))) (/ 3.0 (/ (cbrt x) (cbrt y))) (/ 3.0 (/ (cbrt x) (sqrt y))) (/ 3.0 (/ (cbrt x) y)) (/ 3.0 (/ (sqrt x) (cbrt y))) (/ 3.0 (/ (sqrt x) (sqrt y))) (/ 3.0 (/ (sqrt x) y)) (/ 3.0 (/ x (cbrt y))) (/ 3.0 (/ x (sqrt y))) (/ 3.0 (/ x y)) (/ 3.0 (/ x y)) (/ 3.0 (/ 1 y)) (* 3.0 y) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) 0.259 * * [simplify]: iteration 0 : 335 enodes (cost 457 ) 0.267 * * [simplify]: iteration 1 : 1170 enodes (cost 439 ) 0.292 * * [simplify]: iteration 2 : 4392 enodes (cost 439 ) 0.352 * * [simplify]: iteration 3 : 5001 enodes (cost 439 ) 0.360 * [simplify]: Simplified to: (expm1 (/ (/ x y) 3.0)) (log1p (/ (/ x y) 3.0)) (log (/ (/ x y) 3.0)) (log (/ (/ x y) 3.0)) (log (/ (/ x y) 3.0)) (exp (/ (/ x y) 3.0)) (pow (/ (/ x y) 3.0) 3) (pow (/ (/ x y) 3.0) 3) (* (cbrt (/ (/ x y) 3.0)) (cbrt (/ (/ x y) 3.0))) (cbrt (/ (/ x y) 3.0)) (pow (/ (/ x y) 3.0) 3) (sqrt (/ (/ x y) 3.0)) (sqrt (/ (/ x y) 3.0)) (- (/ x y)) (- 3.0) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (/ x y)) (cbrt 3.0)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt 3.0)) (/ (cbrt (/ x y)) (sqrt 3.0)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) 3.0) (/ (sqrt (/ x y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (/ x y)) (cbrt 3.0)) (/ (sqrt (/ x y)) (sqrt 3.0)) (/ (sqrt (/ x y)) (sqrt 3.0)) (sqrt (/ x y)) (/ (sqrt (/ x y)) 3.0) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (cbrt x) (cbrt y)) (cbrt 3.0)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ (cbrt x) (cbrt y)) (sqrt 3.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) 3.0) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (cbrt x) (sqrt y)) (cbrt 3.0)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt 3.0)) (/ (/ (cbrt x) (sqrt y)) (sqrt 3.0)) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) 3.0) (/ (/ (* (cbrt x) (cbrt x)) (cbrt 3.0)) (cbrt 3.0)) (/ (/ (cbrt x) y) (cbrt 3.0)) (/ (cbrt x) (/ (sqrt 3.0) (cbrt x))) (/ (/ (cbrt x) y) (sqrt 3.0)) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) 3.0) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sqrt x) (cbrt y)) (cbrt 3.0)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ (sqrt x) (cbrt y)) (sqrt 3.0)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) 3.0) (/ (/ (sqrt x) (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sqrt x) (sqrt y)) (cbrt 3.0)) (/ (/ (sqrt x) (sqrt y)) (sqrt 3.0)) (/ (/ (sqrt x) (sqrt y)) (sqrt 3.0)) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 3.0) (/ (/ (sqrt x) (cbrt 3.0)) (cbrt 3.0)) (/ (/ (sqrt x) y) (cbrt 3.0)) (/ (sqrt x) (sqrt 3.0)) (/ (/ (sqrt x) y) (sqrt 3.0)) (sqrt x) (/ (/ (sqrt x) y) 3.0) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x (cbrt y)) (cbrt 3.0)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ x (cbrt y)) (sqrt 3.0)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) 3.0) (/ (/ 1 (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x (sqrt y)) (cbrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ (/ x (sqrt y)) (sqrt 3.0)) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ x y) (sqrt 3.0)) 1 (/ (/ x y) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ x y) (sqrt 3.0)) 1 (/ (/ x y) 3.0) (/ x (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ x (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) x (/ (/ 1 y) 3.0) (/ 1 3.0) (/ 3.0 (/ x y)) (/ (/ x y) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ x y) (sqrt 3.0)) (/ x y) (/ 3.0 (cbrt (/ x y))) (/ 3.0 (sqrt (/ x y))) (/ 3.0 (/ (cbrt x) (cbrt y))) (/ 3.0 (/ (cbrt x) (sqrt y))) (/ 3.0 (/ (cbrt x) y)) (/ 3.0 (/ (sqrt x) (cbrt y))) (/ 3.0 (/ (sqrt x) (sqrt y))) (/ 3.0 (/ (sqrt x) y)) (/ 3.0 (/ x (cbrt y))) (/ 3.0 (/ x (sqrt y))) (/ 3.0 (/ x y)) (/ 3.0 (/ x y)) (* y 3.0) (* y 3.0) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) 0.361 * * * [progress]: adding candidates to table 0.542 * * [progress]: iteration 3 / 4 0.542 * * * [progress]: picking best candidate 0.547 * * * * [pick]: Picked # 0.547 * * * [progress]: localizing error 0.551 * * * [progress]: generating rewritten candidates 0.551 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.560 * * * [progress]: generating series expansions 0.560 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.560 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in (x y) around 0 0.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in y 0.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.561 * [taylor]: Taking taylor expansion of (/ x y) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in x 0.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.561 * [taylor]: Taking taylor expansion of (/ x y) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in x 0.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.561 * [taylor]: Taking taylor expansion of (/ x y) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 y) in y 0.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in (x y) around 0 0.567 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in y 0.567 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.567 * [taylor]: Taking taylor expansion of (/ y x) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.567 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.567 * [taylor]: Taking taylor expansion of (/ y x) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.567 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.567 * [taylor]: Taking taylor expansion of (/ y x) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.567 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in (x y) around 0 0.581 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in y 0.581 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.581 * [taylor]: Taking taylor expansion of (/ y x) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.581 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.581 * [taylor]: Taking taylor expansion of (/ y x) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.581 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.581 * [taylor]: Taking taylor expansion of (/ y x) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.581 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.589 * * * [progress]: simplifying candidates 0.590 * [simplify]: Simplifying using # : (expm1 (* 0.3333333333333333 (/ x y))) (log1p (* 0.3333333333333333 (/ x y))) (* 0.3333333333333333 (/ x y)) (+ (log 0.3333333333333333) (- (log x) (log y))) (+ (log 0.3333333333333333) (log (/ x y))) (log (* 0.3333333333333333 (/ x y))) (exp (* 0.3333333333333333 (/ x y))) (* (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 0.3333333333333333 (/ x y))) (cbrt (* 0.3333333333333333 (/ x y)))) (cbrt (* 0.3333333333333333 (/ x y))) (* (* (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y))) (* 0.3333333333333333 (/ x y))) (sqrt (* 0.3333333333333333 (/ x y))) (sqrt (* 0.3333333333333333 (/ x y))) (* (sqrt 0.3333333333333333) (sqrt (/ x y))) (* (sqrt 0.3333333333333333) (sqrt (/ x y))) (* (sqrt 0.3333333333333333) (/ (sqrt x) (sqrt y))) (* (sqrt 0.3333333333333333) (/ (sqrt x) (sqrt y))) (* 0.3333333333333333 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 0.3333333333333333 (sqrt (/ x y))) (* 0.3333333333333333 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 0.3333333333333333 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 0.3333333333333333 (/ (* (cbrt x) (cbrt x)) 1)) (* 0.3333333333333333 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 0.3333333333333333 (/ (sqrt x) (sqrt y))) (* 0.3333333333333333 (/ (sqrt x) 1)) (* 0.3333333333333333 (/ 1 (* (cbrt y) (cbrt y)))) (* 0.3333333333333333 (/ 1 (sqrt y))) (* 0.3333333333333333 (/ 1 1)) (* 0.3333333333333333 1) (* 0.3333333333333333 x) (* (cbrt 0.3333333333333333) (/ x y)) (* (sqrt 0.3333333333333333) (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 x) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) 0.595 * * [simplify]: iteration 0 : 166 enodes (cost 139 ) 0.601 * * [simplify]: iteration 1 : 729 enodes (cost 124 ) 0.619 * * [simplify]: iteration 2 : 2966 enodes (cost 124 ) 0.668 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.669 * [simplify]: Simplified to: (expm1 (* 0.3333333333333333 (/ x y))) (log1p (* 0.3333333333333333 (/ x y))) (* 0.3333333333333333 (/ x y)) (log (* 0.3333333333333333 (/ x y))) (log (* 0.3333333333333333 (/ x y))) (log (* 0.3333333333333333 (/ x y))) (exp (* 0.3333333333333333 (/ x y))) (pow (* 0.3333333333333333 (/ x y)) 3) (pow (* 0.3333333333333333 (/ x y)) 3) (* (cbrt (* 0.3333333333333333 (/ x y))) (cbrt (* 0.3333333333333333 (/ x y)))) (cbrt (* 0.3333333333333333 (/ x y))) (pow (* 0.3333333333333333 (/ x y)) 3) (sqrt (* 0.3333333333333333 (/ x y))) (sqrt (* 0.3333333333333333 (/ x y))) (* (sqrt 0.3333333333333333) (sqrt (/ x y))) (* (sqrt 0.3333333333333333) (sqrt (/ x y))) (* (sqrt 0.3333333333333333) (/ (sqrt x) (sqrt y))) (* (sqrt 0.3333333333333333) (/ (sqrt x) (sqrt y))) (* 0.3333333333333333 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 0.3333333333333333 (sqrt (/ x y))) (* 0.3333333333333333 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 0.3333333333333333 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (* (cbrt x) (cbrt x)) 0.3333333333333333) (* 0.3333333333333333 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 0.3333333333333333 (/ (sqrt x) (sqrt y))) (* (sqrt x) 0.3333333333333333) (/ 0.3333333333333333 (* (cbrt y) (cbrt y))) (/ 0.3333333333333333 (sqrt y)) 0.3333333333333333 0.3333333333333333 (* 0.3333333333333333 x) (* (cbrt 0.3333333333333333) (/ x y)) (* (sqrt 0.3333333333333333) (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 x) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) 0.670 * * * [progress]: adding candidates to table 0.744 * * [progress]: iteration 4 / 4 0.744 * * * [progress]: picking best candidate 0.748 * * * * [pick]: Picked # 0.748 * * * [progress]: localizing error 0.753 * * * [progress]: generating rewritten candidates 0.753 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.770 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.785 * * * [progress]: generating series expansions 0.786 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.786 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in (x y) around 0 0.786 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in y 0.786 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.786 * [taylor]: Taking taylor expansion of (/ x y) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in x 0.786 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.786 * [taylor]: Taking taylor expansion of (/ x y) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ x y)) in x 0.786 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.786 * [taylor]: Taking taylor expansion of (/ x y) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 y) in y 0.786 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.789 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in (x y) around 0 0.792 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in y 0.792 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.792 * [taylor]: Taking taylor expansion of (/ y x) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of x in y 0.792 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.792 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.792 * [taylor]: Taking taylor expansion of (/ y x) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.792 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.792 * [taylor]: Taking taylor expansion of (/ y x) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.793 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in (x y) around 0 0.801 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in y 0.801 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.801 * [taylor]: Taking taylor expansion of (/ y x) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.801 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.801 * [taylor]: Taking taylor expansion of (/ y x) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ y x)) in x 0.801 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.801 * [taylor]: Taking taylor expansion of (/ y x) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.801 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.816 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.816 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 y) in (y) around 0 0.816 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 y) in y 0.816 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 y) in y 0.816 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.821 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 y) in (y) around 0 0.821 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.821 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 y) in y 0.821 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.828 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 y) in (y) around 0 0.829 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 y) in y 0.829 * [taylor]: Taking taylor expansion of -0.3333333333333333 in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 y) in y 0.829 * [taylor]: Taking taylor expansion of -0.3333333333333333 in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.837 * * * [progress]: simplifying candidates 0.839 * [simplify]: Simplifying using # : (expm1 (* x (/ (/ 1 y) 3.0))) (log1p (* x (/ (/ 1 y) 3.0))) (* x (/ (/ 1 y) 3.0)) (+ (log x) (- (- (log y)) (log 3.0))) (+ (log x) (- (- 0 (log y)) (log 3.0))) (+ (log x) (- (- (log 1) (log y)) (log 3.0))) (+ (log x) (- (log (/ 1 y)) (log 3.0))) (+ (log x) (log (/ (/ 1 y) 3.0))) (log (* x (/ (/ 1 y) 3.0))) (exp (* x (/ (/ 1 y) 3.0))) (* (* (* x x) x) (/ (/ (* (* 1 1) 1) (* (* y y) y)) (* (* 3.0 3.0) 3.0))) (* (* (* x x) x) (/ (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* 3.0 3.0) 3.0))) (* (* (* x x) x) (* (* (/ (/ 1 y) 3.0) (/ (/ 1 y) 3.0)) (/ (/ 1 y) 3.0))) (* (cbrt (* x (/ (/ 1 y) 3.0))) (cbrt (* x (/ (/ 1 y) 3.0)))) (cbrt (* x (/ (/ 1 y) 3.0))) (* (* (* x (/ (/ 1 y) 3.0)) (* x (/ (/ 1 y) 3.0))) (* x (/ (/ 1 y) 3.0))) (sqrt (* x (/ (/ 1 y) 3.0))) (sqrt (* x (/ (/ 1 y) 3.0))) (* (sqrt x) (sqrt (/ (/ 1 y) 3.0))) (* (sqrt x) (sqrt (/ (/ 1 y) 3.0))) (* (sqrt x) (/ (sqrt (/ 1 y)) (sqrt 3.0))) (* (sqrt x) (/ (sqrt (/ 1 y)) (sqrt 3.0))) (* (sqrt x) (/ (/ (sqrt 1) (sqrt y)) (sqrt 3.0))) (* (sqrt x) (/ (/ (sqrt 1) (sqrt y)) (sqrt 3.0))) (* (sqrt x) (/ (/ 1 (sqrt y)) (sqrt 3.0))) (* (sqrt x) (/ (/ 1 (sqrt y)) (sqrt 3.0))) (* x (* (cbrt (/ (/ 1 y) 3.0)) (cbrt (/ (/ 1 y) 3.0)))) (* x (sqrt (/ (/ 1 y) 3.0))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt 3.0))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) 1)) (* x (/ (sqrt (/ 1 y)) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (sqrt (/ 1 y)) (sqrt 3.0))) (* x (/ (sqrt (/ 1 y)) 1)) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (sqrt 3.0))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) 1)) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (sqrt 3.0))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) 1)) (* x (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt 3.0))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1)) (* x (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) (sqrt 3.0))) (* x (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) 1)) (* x (/ (/ (sqrt 1) (sqrt y)) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ (sqrt 1) (sqrt y)) (sqrt 3.0))) (* x (/ (/ (sqrt 1) (sqrt y)) 1)) (* x (/ (/ (sqrt 1) 1) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ (sqrt 1) 1) (sqrt 3.0))) (* x (/ (/ (sqrt 1) 1) 1)) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt 3.0))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) 1)) (* x (/ (/ 1 (sqrt y)) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ 1 (sqrt y)) (sqrt 3.0))) (* x (/ (/ 1 (sqrt y)) 1)) (* x (/ (/ 1 1) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (/ 1 1) (sqrt 3.0))) (* x (/ (/ 1 1) 1)) (* x (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ 1 (sqrt 3.0))) (* x (/ 1 1)) (* x (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ 1 (sqrt 3.0))) (* x (/ 1 1)) (* x 1) (* x (/ 1 y)) (* (cbrt x) (/ (/ 1 y) 3.0)) (* (sqrt x) (/ (/ 1 y) 3.0)) (* x (/ (/ 1 y) 3.0)) (* x (/ 1 y)) (expm1 (/ (/ 1 y) 3.0)) (log1p (/ (/ 1 y) 3.0)) (- (- (log y)) (log 3.0)) (- (- 0 (log y)) (log 3.0)) (- (- (log 1) (log y)) (log 3.0)) (- (log (/ 1 y)) (log 3.0)) (log (/ (/ 1 y) 3.0)) (exp (/ (/ 1 y) 3.0)) (/ (/ (* (* 1 1) 1) (* (* y y) y)) (* (* 3.0 3.0) 3.0)) (/ (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (/ 1 y) 3.0)) (cbrt (/ (/ 1 y) 3.0))) (cbrt (/ (/ 1 y) 3.0)) (* (* (/ (/ 1 y) 3.0) (/ (/ 1 y) 3.0)) (/ (/ 1 y) 3.0)) (sqrt (/ (/ 1 y) 3.0)) (sqrt (/ (/ 1 y) 3.0)) (- (/ 1 y)) (- 3.0) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (/ 1 y)) (cbrt 3.0)) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt 3.0)) (/ (cbrt (/ 1 y)) (sqrt 3.0)) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) 1) (/ (cbrt (/ 1 y)) 3.0) (/ (sqrt (/ 1 y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (/ 1 y)) (cbrt 3.0)) (/ (sqrt (/ 1 y)) (sqrt 3.0)) (/ (sqrt (/ 1 y)) (sqrt 3.0)) (/ (sqrt (/ 1 y)) 1) (/ (sqrt (/ 1 y)) 3.0) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (cbrt 1) (cbrt y)) (cbrt 3.0)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ (cbrt 1) (cbrt y)) (sqrt 3.0)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt 1) (cbrt y)) 3.0) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (cbrt 1) (sqrt y)) (cbrt 3.0)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (sqrt 3.0)) (/ (/ (cbrt 1) (sqrt y)) (sqrt 3.0)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) 1) (/ (/ (cbrt 1) (sqrt y)) 3.0) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (cbrt 1) y) (cbrt 3.0)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt 3.0)) (/ (/ (cbrt 1) y) (sqrt 3.0)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) y) 3.0) (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sqrt 1) (cbrt y)) (cbrt 3.0)) (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ (sqrt 1) (cbrt y)) (sqrt 3.0)) (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt 1) (cbrt y)) 3.0) (/ (/ (sqrt 1) (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sqrt 1) (sqrt y)) (cbrt 3.0)) (/ (/ (sqrt 1) (sqrt y)) (sqrt 3.0)) (/ (/ (sqrt 1) (sqrt y)) (sqrt 3.0)) (/ (/ (sqrt 1) (sqrt y)) 1) (/ (/ (sqrt 1) (sqrt y)) 3.0) (/ (/ (sqrt 1) 1) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (sqrt 1) y) (cbrt 3.0)) (/ (/ (sqrt 1) 1) (sqrt 3.0)) (/ (/ (sqrt 1) y) (sqrt 3.0)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) y) 3.0) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 (cbrt y)) (cbrt 3.0)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ 1 (cbrt y)) (sqrt 3.0)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ 1 (cbrt y)) 3.0) (/ (/ 1 (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 (sqrt y)) (cbrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ (/ 1 (sqrt y)) 1) (/ (/ 1 (sqrt y)) 3.0) (/ (/ 1 1) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ (/ 1 1) (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) (/ (/ 1 1) 1) (/ (/ 1 y) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) (/ 1 1) (/ (/ 1 y) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) (/ 1 1) (/ (/ 1 y) 3.0) (/ 1 3.0) (/ 3.0 (/ 1 y)) (/ (/ 1 y) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (sqrt 3.0)) (/ (/ 1 y) 1) (/ 3.0 (cbrt (/ 1 y))) (/ 3.0 (sqrt (/ 1 y))) (/ 3.0 (/ (cbrt 1) (cbrt y))) (/ 3.0 (/ (cbrt 1) (sqrt y))) (/ 3.0 (/ (cbrt 1) y)) (/ 3.0 (/ (sqrt 1) (cbrt y))) (/ 3.0 (/ (sqrt 1) (sqrt y))) (/ 3.0 (/ (sqrt 1) y)) (/ 3.0 (/ 1 (cbrt y))) (/ 3.0 (/ 1 (sqrt y))) (/ 3.0 (/ 1 y)) (/ 3.0 (/ 1 y)) (/ 3.0 (/ 1 y)) (* 3.0 y) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (/ 0.3333333333333333 y) (/ 0.3333333333333333 y) (/ 0.3333333333333333 y) 0.848 * * [simplify]: iteration 0 : 532 enodes (cost 858 ) 0.862 * * [simplify]: iteration 1 : 2351 enodes (cost 759 ) 0.898 * * [simplify]: iteration 2 : 5001 enodes (cost 679 ) 0.902 * [simplify]: Simplified to: (expm1 (* x (/ (/ 1 y) 3.0))) (log1p (* x (/ (/ 1 y) 3.0))) (/ x (* 3.0 y)) (log (* x (/ (/ 1 y) 3.0))) (log (* x (/ (/ 1 y) 3.0))) (log (* x (/ (/ 1 y) 3.0))) (log (* x (/ (/ 1 y) 3.0))) (log (* x (/ (/ 1 y) 3.0))) (log (* x (/ (/ 1 y) 3.0))) (exp (* x (/ (/ 1 y) 3.0))) (pow (* x (/ (/ 1 y) 3.0)) 3) (pow (* x (/ (/ 1 y) 3.0)) 3) (pow (* x (/ (/ 1 y) 3.0)) 3) (* (cbrt (* x (/ (/ 1 y) 3.0))) (cbrt (* x (/ (/ 1 y) 3.0)))) (cbrt (* x (/ (/ 1 y) 3.0))) (pow (* x (/ (/ 1 y) 3.0)) 3) (sqrt (* x (/ (/ 1 y) 3.0))) (sqrt (* x (/ (/ 1 y) 3.0))) (* (sqrt x) (sqrt (/ (/ 1 y) 3.0))) (* (sqrt x) (sqrt (/ (/ 1 y) 3.0))) (* (sqrt x) (/ (sqrt (/ 1 y)) (sqrt 3.0))) (* (sqrt x) (/ (sqrt (/ 1 y)) (sqrt 3.0))) (* (sqrt x) (/ (/ 1 (sqrt y)) (sqrt 3.0))) (* (sqrt x) (/ (/ 1 (sqrt y)) (sqrt 3.0))) (* (sqrt x) (/ (/ 1 (sqrt y)) (sqrt 3.0))) (* (sqrt x) (/ (/ 1 (sqrt y)) (sqrt 3.0))) (* x (* (cbrt (/ (/ 1 y) 3.0)) (cbrt (/ (/ 1 y) 3.0)))) (* x (sqrt (/ (/ 1 y) 3.0))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt 3.0))) (* (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) x) (* x (/ (sqrt (/ 1 y)) (* (cbrt 3.0) (cbrt 3.0)))) (* x (/ (sqrt (/ 1 y)) (sqrt 3.0))) (* (sqrt (/ 1 y)) x) (/ x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt y) (cbrt y)))) (/ x (* (sqrt 3.0) (* (cbrt y) (cbrt y)))) (/ x (* (cbrt y) (cbrt y))) (/ x (* (* (cbrt 3.0) (cbrt 3.0)) (sqrt y))) (/ x (* (sqrt 3.0) (sqrt y))) (/ x (sqrt y)) (/ x (* (cbrt 3.0) (cbrt 3.0))) (/ x (sqrt 3.0)) x (/ x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt y) (cbrt y)))) (/ x (* (sqrt 3.0) (* (cbrt y) (cbrt y)))) (/ x (* (cbrt y) (cbrt y))) (/ x (* (* (cbrt 3.0) (cbrt 3.0)) (sqrt y))) (/ x (* (sqrt 3.0) (sqrt y))) (/ x (sqrt y)) (/ x (* (cbrt 3.0) (cbrt 3.0))) (/ x (sqrt 3.0)) x (/ x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt y) (cbrt y)))) (/ x (* (sqrt 3.0) (* (cbrt y) (cbrt y)))) (/ x (* (cbrt y) (cbrt y))) (/ x (* (* (cbrt 3.0) (cbrt 3.0)) (sqrt y))) (/ x (* (sqrt 3.0) (sqrt y))) (/ x (sqrt y)) (/ x (* (cbrt 3.0) (cbrt 3.0))) (/ x (sqrt 3.0)) x (/ x (* (cbrt 3.0) (cbrt 3.0))) (/ x (sqrt 3.0)) x (/ x (* (cbrt 3.0) (cbrt 3.0))) (/ x (sqrt 3.0)) x x (/ x y) (/ (cbrt x) (* 3.0 y)) (/ (sqrt x) (* 3.0 y)) (/ x (* 3.0 y)) (/ x y) (expm1 (/ (/ 1 y) 3.0)) (log1p (/ (/ 1 y) 3.0)) (log (/ (/ 1 y) 3.0)) (log (/ (/ 1 y) 3.0)) (log (/ (/ 1 y) 3.0)) (log (/ (/ 1 y) 3.0)) (log (/ (/ 1 y) 3.0)) (exp (/ (/ 1 y) 3.0)) (pow (/ (/ 1 y) 3.0) 3) (pow (/ (/ 1 y) 3.0) 3) (* (cbrt (/ (/ 1 y) 3.0)) (cbrt (/ (/ 1 y) 3.0))) (cbrt (/ (/ 1 y) 3.0)) (pow (/ (/ 1 y) 3.0) 3) (sqrt (/ (/ 1 y) 3.0)) (sqrt (/ (/ 1 y) 3.0)) (- (/ 1 y)) (- 3.0) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (/ 1 y)) (cbrt 3.0)) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt 3.0)) (/ (cbrt (/ 1 y)) (sqrt 3.0)) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ (cbrt (/ 1 y)) 3.0) (/ (sqrt (/ 1 y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (/ 1 y)) (cbrt 3.0)) (/ (sqrt (/ 1 y)) (sqrt 3.0)) (/ (sqrt (/ 1 y)) (sqrt 3.0)) (sqrt (/ 1 y)) (/ (sqrt (/ 1 y)) 3.0) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 (cbrt y)) (cbrt 3.0)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ 1 (cbrt y)) (sqrt 3.0)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) 3.0) (/ (/ 1 (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 (sqrt y)) (cbrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) 1 (/ (/ 1 y) 3.0) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 (cbrt y)) (cbrt 3.0)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ 1 (cbrt y)) (sqrt 3.0)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) 3.0) (/ (/ 1 (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 (sqrt y)) (cbrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) 1 (/ (/ 1 y) 3.0) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 (cbrt y)) (cbrt 3.0)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt 3.0)) (/ (/ 1 (cbrt y)) (sqrt 3.0)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) 3.0) (/ (/ 1 (sqrt y)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 (sqrt y)) (cbrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ (/ 1 (sqrt y)) (sqrt 3.0)) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) 1 (/ (/ 1 y) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) 1 (/ (/ 1 y) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (/ 1 y) (sqrt 3.0)) 1 (/ (/ 1 y) 3.0) (/ 1 3.0) (* 3.0 y) (/ (/ 1 y) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1 y) (sqrt 3.0)) (/ 1 y) (/ 3.0 (cbrt (/ 1 y))) (/ 3.0 (sqrt (/ 1 y))) (* (cbrt y) 3.0) (* 3.0 (sqrt y)) (* 3.0 y) (* (cbrt y) 3.0) (* 3.0 (sqrt y)) (* 3.0 y) (* (cbrt y) 3.0) (* 3.0 (sqrt y)) (* 3.0 y) (* 3.0 y) (* 3.0 y) (* 3.0 y) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (* 0.3333333333333333 (/ x y)) (/ 0.3333333333333333 y) (/ 0.3333333333333333 y) (/ 0.3333333333333333 y) 0.903 * * * [progress]: adding candidates to table 1.188 * [progress]: [Phase 3 of 3] Extracting. 1.188 * * [regime]: Finding splitpoints for: (# # # #) 1.188 * * * [regime-changes]: Trying 4 branch expressions: ((* y 3.0) (/ x (* y 3.0)) y x) 1.188 * * * * [regimes]: Trying to branch on (* y 3.0) from (# # # #) 1.209 * * * * [regimes]: Trying to branch on (/ x (* y 3.0)) from (# # # #) 1.226 * * * * [regimes]: Trying to branch on y from (# # # #) 1.243 * * * * [regimes]: Trying to branch on x from (# # # #) 1.263 * * * [regime]: Found split indices: #