3.606 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ x (* y y)) 0.024 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.026 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.026 * [simplify]: Simplified to: (/ x (* y y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.053 * [taylor]: Taking taylor expansion of -1 in y 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.067 * * [simplify]: iteration 0 : 99 enodes (cost 86 ) 0.070 * * [simplify]: iteration 1 : 320 enodes (cost 71 ) 0.076 * * [simplify]: iteration 2 : 952 enodes (cost 71 ) 0.097 * * [simplify]: iteration 3 : 4497 enodes (cost 71 ) 0.165 * * [simplify]: iteration 4 : 5002 enodes (cost 71 ) 0.166 * [simplify]: Simplified to: (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (pow (/ x (* y y)) 3) (pow (/ x (* y y)) 3) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 3) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 0.167 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.232 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) 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 (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.247 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.247 * [taylor]: Taking taylor expansion of -1 in y 0.247 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.248 * [taylor]: Taking taylor expansion of -1 in x 0.248 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.248 * [taylor]: Taking taylor expansion of -1 in x 0.248 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of -1 in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * * * [progress]: simplifying candidates 0.258 * [simplify]: Simplifying using # : (- (- (log x) (log y)) (log y)) (- (log (/ x y)) (log y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* y y) y)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.264 * * [simplify]: iteration 0 : 311 enodes (cost 449 ) 0.271 * * [simplify]: iteration 1 : 1180 enodes (cost 415 ) 0.296 * * [simplify]: iteration 2 : 5001 enodes (cost 406 ) 0.300 * [simplify]: Simplified to: (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (pow (cbrt y) 3))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (cbrt x) (/ y (cbrt x))) (/ (cbrt x) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (cbrt y)) (pow (cbrt y) 3)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ (/ (sqrt x) y) y) (/ (/ 1 (cbrt y)) (pow (cbrt y) 3)) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (pow y 2) (pow y 2) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.300 * * * [progress]: adding candidates to table 0.422 * * [progress]: iteration 3 / 4 0.422 * * * [progress]: picking best candidate 0.432 * * * * [pick]: Picked # 0.432 * * * [progress]: localizing error 0.437 * * * [progress]: generating rewritten candidates 0.437 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.454 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.472 * * * [progress]: generating series expansions 0.472 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.472 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.481 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.487 * [taylor]: Taking taylor expansion of -1 in y 0.487 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.488 * [taylor]: Taking taylor expansion of -1 in x 0.488 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.488 * [taylor]: Taking taylor expansion of -1 in x 0.488 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of -1 in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.497 * [approximate]: Taking taylor expansion of (/ 1 (pow y 2)) in (y) around 0 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.505 * [approximate]: Taking taylor expansion of (pow y 2) in (y) around 0 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.510 * [approximate]: Taking taylor expansion of (pow y 2) in (y) around 0 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.515 * * * [progress]: simplifying candidates 0.517 * [simplify]: Simplifying using # : (* x (/ (/ 1 y) y)) (+ (log x) (- (- (log y)) (log y))) (+ (log x) (- (- 0 (log y)) (log y))) (+ (log x) (- (- (log 1) (log y)) (log y))) (+ (log x) (- (log (/ 1 y)) (log y))) (+ (log x) (log (/ (/ 1 y) y))) (log (* x (/ (/ 1 y) y))) (exp (* x (/ (/ 1 y) y))) (* (* (* x x) x) (/ (/ (* (* 1 1) 1) (* (* y y) y)) (* (* y y) y))) (* (* (* x x) x) (/ (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* y y) y))) (* (* (* x x) x) (* (* (/ (/ 1 y) y) (/ (/ 1 y) y)) (/ (/ 1 y) y))) (* (cbrt (* x (/ (/ 1 y) y))) (cbrt (* x (/ (/ 1 y) y)))) (cbrt (* x (/ (/ 1 y) y))) (* (* (* x (/ (/ 1 y) y)) (* x (/ (/ 1 y) y))) (* x (/ (/ 1 y) y))) (sqrt (* x (/ (/ 1 y) y))) (sqrt (* x (/ (/ 1 y) y))) (* (sqrt x) (sqrt (/ (/ 1 y) y))) (* (sqrt x) (sqrt (/ (/ 1 y) y))) (* (sqrt x) (/ (sqrt (/ 1 y)) (sqrt y))) (* (sqrt x) (/ (sqrt (/ 1 y)) (sqrt y))) (* (sqrt x) (/ (/ (sqrt 1) (sqrt y)) (sqrt y))) (* (sqrt x) (/ (/ (sqrt 1) (sqrt y)) (sqrt y))) (* (sqrt x) (/ (/ 1 (sqrt y)) (sqrt y))) (* (sqrt x) (/ (/ 1 (sqrt y)) (sqrt y))) (* (sqrt x) (/ 1 y)) (* (sqrt x) (/ 1 y)) (* x (* (cbrt (/ (/ 1 y) y)) (cbrt (/ (/ 1 y) y)))) (* x (sqrt (/ (/ 1 y) y))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt y))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) 1)) (* x (/ (sqrt (/ 1 y)) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt (/ 1 y)) (sqrt y))) (* x (/ (sqrt (/ 1 y)) 1)) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y)))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (sqrt y))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) 1)) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (* (cbrt y) (cbrt y)))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (sqrt y))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) 1)) (* x (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt y) (cbrt y)))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt y))) (* x (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1)) (* x (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y)))) (* x (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) (sqrt y))) (* x (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) 1)) (* x (/ (/ (sqrt 1) (sqrt y)) (* (cbrt y) (cbrt y)))) (* x (/ (/ (sqrt 1) (sqrt y)) (sqrt y))) (* x (/ (/ (sqrt 1) (sqrt y)) 1)) (* x (/ (/ (sqrt 1) 1) (* (cbrt y) (cbrt y)))) (* x (/ (/ (sqrt 1) 1) (sqrt y))) (* x (/ (/ (sqrt 1) 1) 1)) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y)))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) 1)) (* x (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y)))) (* x (/ (/ 1 (sqrt y)) (sqrt y))) (* x (/ (/ 1 (sqrt y)) 1)) (* x (/ (/ 1 1) (* (cbrt y) (cbrt y)))) (* x (/ (/ 1 1) (sqrt y))) (* x (/ (/ 1 1) 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 (/ 1 y)) (* (cbrt x) (/ (/ 1 y) y)) (* (sqrt x) (/ (/ 1 y) y)) (* x (/ (/ 1 y) y)) (* x (/ 1 y)) (- -1 1) (- (- 1) 1) (- (- (log y)) (log y)) (- (- 0 (log y)) (log y)) (- (- (log 1) (log y)) (log y)) (- (log (/ 1 y)) (log y)) (log (/ (/ 1 y) y)) (exp (/ (/ 1 y) y)) (/ (/ (* (* 1 1) 1) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* y y) y)) (* (cbrt (/ (/ 1 y) y)) (cbrt (/ (/ 1 y) y))) (cbrt (/ (/ 1 y) y)) (* (* (/ (/ 1 y) y) (/ (/ 1 y) y)) (/ (/ 1 y) y)) (sqrt (/ (/ 1 y) y)) (sqrt (/ (/ 1 y) y)) (- (/ 1 y)) (- y) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ 1 y)) (cbrt y)) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt y)) (/ (cbrt (/ 1 y)) (sqrt y)) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) 1) (/ (cbrt (/ 1 y)) y) (/ (sqrt (/ 1 y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ 1 y)) (cbrt y)) (/ (sqrt (/ 1 y)) (sqrt y)) (/ (sqrt (/ 1 y)) (sqrt y)) (/ (sqrt (/ 1 y)) 1) (/ (sqrt (/ 1 y)) y) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt 1) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt 1) (cbrt y)) y) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (sqrt y)) (/ (/ (cbrt 1) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) 1) (/ (/ (cbrt 1) (sqrt y)) y) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt 1) y) (cbrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt y)) (/ (/ (cbrt 1) y) (sqrt y)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) y) y) (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (cbrt y)) (cbrt y)) (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt 1) (cbrt y)) (sqrt y)) (/ (/ (sqrt 1) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt 1) (cbrt y)) y) (/ (/ (sqrt 1) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) (sqrt y)) (cbrt y)) (/ (/ (sqrt 1) (sqrt y)) (sqrt y)) (/ (/ (sqrt 1) (sqrt y)) (sqrt y)) (/ (/ (sqrt 1) (sqrt y)) 1) (/ (/ (sqrt 1) (sqrt y)) y) (/ (/ (sqrt 1) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1) y) (cbrt y)) (/ (/ (sqrt 1) 1) (sqrt y)) (/ (/ (sqrt 1) y) (sqrt y)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ 1 (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ 1 (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ 1 (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ 1 y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ 1 1) (/ (/ 1 y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ 1 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ 1 y)) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ (/ 1 y) 1) (/ y (cbrt (/ 1 y))) (/ y (sqrt (/ 1 y))) (/ y (/ (cbrt 1) (cbrt y))) (/ y (/ (cbrt 1) (sqrt y))) (/ y (/ (cbrt 1) y)) (/ y (/ (sqrt 1) (cbrt y))) (/ y (/ (sqrt 1) (sqrt y))) (/ y (/ (sqrt 1) y)) (/ y (/ 1 (cbrt y))) (/ y (/ 1 (sqrt y))) (/ y (/ 1 y)) (/ y (/ 1 y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ 1 (pow y 2)) (/ 1 (pow y 2)) (/ 1 (pow y 2)) 0.525 * * [simplify]: iteration 0 : 513 enodes (cost 851 ) 0.537 * * [simplify]: iteration 1 : 2325 enodes (cost 709 ) 0.574 * * [simplify]: iteration 2 : 5001 enodes (cost 616 ) 0.578 * [simplify]: Simplified to: (/ x (pow y 2)) (log (* x (/ (/ 1 y) y))) (log (* x (/ (/ 1 y) y))) (log (* x (/ (/ 1 y) y))) (log (* x (/ (/ 1 y) y))) (log (* x (/ (/ 1 y) y))) (log (* x (/ (/ 1 y) y))) (exp (* x (/ (/ 1 y) y))) (pow (* x (/ (/ 1 y) y)) 3) (pow (* x (/ (/ 1 y) y)) 3) (pow (* x (/ (/ 1 y) y)) 3) (* (cbrt (* x (/ (/ 1 y) y))) (cbrt (* x (/ (/ 1 y) y)))) (cbrt (* x (/ (/ 1 y) y))) (pow (* x (/ (/ 1 y) y)) 3) (sqrt (* x (/ (/ 1 y) y))) (sqrt (* x (/ (/ 1 y) y))) (* (sqrt x) (sqrt (/ (/ 1 y) y))) (* (sqrt x) (sqrt (/ (/ 1 y) y))) (* (sqrt x) (/ (sqrt (/ 1 y)) (sqrt y))) (* (sqrt x) (/ (sqrt (/ 1 y)) (sqrt y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (* x (* (cbrt (/ (/ 1 y) y)) (cbrt (/ (/ 1 y) y)))) (* x (sqrt (/ (/ 1 y) y))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt y))) (* (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) x) (* x (/ (sqrt (/ 1 y)) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt (/ 1 y)) (sqrt y))) (* (sqrt (/ 1 y)) x) (* (/ 1 (cbrt y)) (/ x (pow (cbrt y) 3))) (/ (/ x (sqrt y)) (* (cbrt y) (cbrt y))) (/ x (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (* (cbrt y) (cbrt y))) (/ x y) (/ x (sqrt y)) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x (* (/ 1 (cbrt y)) (/ x (pow (cbrt y) 3))) (/ (/ x (sqrt y)) (* (cbrt y) (cbrt y))) (/ x (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (* (cbrt y) (cbrt y))) (/ x y) (/ x (sqrt y)) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x (* (/ 1 (cbrt y)) (/ x (pow (cbrt y) 3))) (/ (/ x (sqrt y)) (* (cbrt y) (cbrt y))) (/ x (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (* (cbrt y) (cbrt y))) (/ x y) (/ x (sqrt y)) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x x (/ x y) (/ (cbrt x) (* y y)) (/ (sqrt x) (pow y 2)) (/ x (pow y 2)) (/ x y) -2 (- 2) (log (/ (/ 1 y) y)) (log (/ (/ 1 y) y)) (log (/ (/ 1 y) y)) (log (/ (/ 1 y) y)) (log (/ (/ 1 y) y)) (exp (/ (/ 1 y) y)) (pow (/ (/ 1 y) y) 3) (pow (/ (/ 1 y) y) 3) (* (cbrt (/ (/ 1 y) y)) (cbrt (/ (/ 1 y) y))) (cbrt (/ (/ 1 y) y)) (pow (/ (/ 1 y) y) 3) (fabs (/ 1 y)) (fabs (/ 1 y)) (- (/ 1 y)) (- y) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ 1 y)) (cbrt y)) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt y)) (/ (cbrt (/ 1 y)) (sqrt y)) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ (cbrt (/ 1 y)) y) (/ (sqrt (/ 1 y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ 1 y)) (cbrt y)) (/ (sqrt (/ 1 y)) (sqrt y)) (/ (sqrt (/ 1 y)) (sqrt y)) (sqrt (/ 1 y)) (/ (sqrt (/ 1 y)) y) (* (/ 1/2 (cbrt y)) (/ 2 (pow (cbrt y) 3))) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 y) (/ 1 y) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) y) 1 (/ (/ 1 y) y) (* (/ 1/2 (cbrt y)) (/ 2 (pow (cbrt y) 3))) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 y) (/ 1 y) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) y) 1 (/ (/ 1 y) y) (* (/ 1/2 (cbrt y)) (/ 2 (pow (cbrt y) 3))) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 y) (/ 1 y) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) y) 1 (/ (/ 1 y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) y) 1 (/ (/ 1 y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ 1 (sqrt y)) y) 1 (/ (/ 1 y) y) (/ 1 y) (* y y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) y) (/ 1 y) (/ y (cbrt (/ 1 y))) (/ y (sqrt (/ 1 y))) (* y (cbrt y)) (* y (sqrt y)) (* y y) (* y (cbrt y)) (* y (sqrt y)) (* y y) (* y (cbrt y)) (* y (sqrt y)) (* y y) (* y y) (* y y) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (/ 1 y) y) (/ (/ 1 y) y) (/ (/ 1 y) y) 0.579 * * * [progress]: adding candidates to table 0.766 * * [progress]: iteration 4 / 4 0.767 * * * [progress]: picking best candidate 0.775 * * * * [pick]: Picked # 0.775 * * * [progress]: localizing error 0.780 * * * [progress]: generating rewritten candidates 0.780 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.785 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.795 * * * [progress]: generating series expansions 0.795 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.795 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.795 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.796 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of 0 in x 0.798 * [taylor]: Taking taylor expansion of 0 in x 0.800 * [taylor]: Taking taylor expansion of 0 in x 0.801 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.801 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of 0 in x 0.804 * [taylor]: Taking taylor expansion of 0 in x 0.806 * [taylor]: Taking taylor expansion of 0 in x 0.807 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 0.807 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 0.807 * [taylor]: Taking taylor expansion of -1 in x 0.807 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.807 * [taylor]: Taking taylor expansion of -1 in y 0.807 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.807 * [taylor]: Taking taylor expansion of -1 in y 0.807 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.808 * [taylor]: Taking taylor expansion of -1 in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of 0 in x 0.812 * [taylor]: Taking taylor expansion of 0 in x 0.815 * [taylor]: Taking taylor expansion of 0 in x 0.816 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.816 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.816 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of 0 in x 0.819 * [taylor]: Taking taylor expansion of 0 in x 0.821 * [taylor]: Taking taylor expansion of 0 in x 0.822 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.822 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of 0 in x 0.824 * [taylor]: Taking taylor expansion of 0 in x 0.826 * [taylor]: Taking taylor expansion of 0 in x 0.827 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.827 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.827 * [taylor]: Taking taylor expansion of -1 in x 0.827 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.827 * [taylor]: Taking taylor expansion of -1 in y 0.827 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.827 * [taylor]: Taking taylor expansion of -1 in y 0.827 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.828 * [taylor]: Taking taylor expansion of -1 in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of 0 in x 0.831 * [taylor]: Taking taylor expansion of 0 in x 0.833 * [taylor]: Taking taylor expansion of 0 in x 0.834 * * * [progress]: simplifying candidates 0.835 * [simplify]: Simplifying using # : (- (+ (log y) (log y)) (log x)) (- (log (* y y)) (log x)) (log (/ (* y y) x)) (exp (/ (* y y) x)) (/ (* (* (* y y) y) (* (* y y) y)) (* (* x x) x)) (/ (* (* (* y y) (* y y)) (* y y)) (* (* x x) x)) (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x))) (cbrt (/ (* y y) x)) (* (* (/ (* y y) x) (/ (* y y) x)) (/ (* y y) x)) (sqrt (/ (* y y) x)) (sqrt (/ (* y y) x)) (- (* y y)) (- x) (/ y (* (cbrt x) (cbrt x))) (/ y (cbrt x)) (/ y (sqrt x)) (/ y (sqrt x)) (/ y 1) (/ y x) (/ 1 x) (/ x (* y y)) (/ (* y y) (* (cbrt x) (cbrt x))) (/ (* y y) (sqrt x)) (/ (* y y) 1) (/ x y) (- 1) (- (- (+ (log y) (log y)) (log x))) (- (- (log (* y y)) (log x))) (- (log (/ (* y y) x))) (- 0 (- (+ (log y) (log y)) (log x))) (- 0 (- (log (* y y)) (log x))) (- 0 (log (/ (* y y) x))) (- (log 1) (- (+ (log y) (log y)) (log x))) (- (log 1) (- (log (* y y)) (log x))) (- (log 1) (log (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (exp (/ 1 (/ (* y y) x))) (/ (* (* 1 1) 1) (/ (* (* (* y y) y) (* (* y y) y)) (* (* x x) x))) (/ (* (* 1 1) 1) (/ (* (* (* y y) (* y y)) (* y y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (* y y) x) (/ (* y y) x)) (/ (* y y) x))) (* (cbrt (/ 1 (/ (* y y) x))) (cbrt (/ 1 (/ (* y y) x)))) (cbrt (/ 1 (/ (* y y) x))) (* (* (/ 1 (/ (* y y) x)) (/ 1 (/ (* y y) x))) (/ 1 (/ (* y y) x))) (sqrt (/ 1 (/ (* y y) x))) (sqrt (/ 1 (/ (* y y) x))) (- 1) (- (/ (* y y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x)))) (/ (cbrt 1) (cbrt (/ (* y y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (* y y) x))) (/ (cbrt 1) (sqrt (/ (* y y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ y (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ y (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ y (sqrt x))) (/ (cbrt 1) (/ y (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ y 1)) (/ (cbrt 1) (/ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (* y y) x)) (/ (* (cbrt 1) (cbrt 1)) (* y y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x)))) (/ (sqrt 1) (cbrt (/ (* y y) x))) (/ (sqrt 1) (sqrt (/ (* y y) x))) (/ (sqrt 1) (sqrt (/ (* y y) x))) (/ (sqrt 1) (/ y (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ y (cbrt x))) (/ (sqrt 1) (/ y (sqrt x))) (/ (sqrt 1) (/ y (sqrt x))) (/ (sqrt 1) (/ y 1)) (/ (sqrt 1) (/ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (* y y) x)) (/ (sqrt 1) (* y y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x)))) (/ 1 (cbrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ 1 (/ y (* (cbrt x) (cbrt x)))) (/ 1 (/ y (cbrt x))) (/ 1 (/ y (sqrt x))) (/ 1 (/ y (sqrt x))) (/ 1 (/ y 1)) (/ 1 (/ y x)) (/ 1 1) (/ 1 (/ (* y y) x)) (/ 1 (* y y)) (/ 1 (/ 1 x)) (/ 1 (/ (* y y) x)) (/ (/ (* y y) x) 1) (/ 1 (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x)))) (/ 1 (sqrt (/ (* y y) x))) (/ 1 (/ y (* (cbrt x) (cbrt x)))) (/ 1 (/ y (sqrt x))) (/ 1 (/ y 1)) (/ 1 1) (/ 1 (* y y)) (/ (/ (* y y) x) (cbrt 1)) (/ (/ (* y y) x) (sqrt 1)) (/ (/ (* y y) x) 1) (/ 1 (* y y)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.841 * * [simplify]: iteration 0 : 266 enodes (cost 410 ) 0.848 * * [simplify]: iteration 1 : 1301 enodes (cost 350 ) 0.873 * * [simplify]: iteration 2 : 5001 enodes (cost 299 ) 0.876 * [simplify]: Simplified to: (log (/ (* y y) x)) (log (/ (* y y) x)) (log (/ (* y y) x)) (exp (/ (* y y) x)) (pow (/ (* y y) x) 3) (pow (/ (* y y) x) 3) (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x))) (cbrt (/ (* y y) x)) (pow (/ (* y y) x) 3) (sqrt (/ (* y y) x)) (sqrt (/ (* y y) x)) (- (* y y)) (- x) (/ y (* (cbrt x) (cbrt x))) (/ y (cbrt x)) (/ y (sqrt x)) (/ y (sqrt x)) y (/ y x) (/ 1 x) (/ x (pow y 2)) (/ (* y y) (* (cbrt x) (cbrt x))) (/ (* y y) (sqrt x)) (pow y 2) (/ x y) (- 1) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (log (/ 1 (/ (* y y) x))) (exp (/ 1 (/ (* y y) x))) (/ (pow x 3) (pow y 6)) (/ (pow x 3) (pow y 6)) (/ (pow x 3) (pow y 6)) (* (cbrt (/ 1 (/ (* y y) x))) (cbrt (/ 1 (/ (* y y) x)))) (cbrt (/ 1 (/ (* y y) x))) (/ (pow x 3) (pow y 6)) (sqrt (/ 1 (/ (* y y) x))) (sqrt (/ 1 (/ (* y y) x))) (- 1) (- (/ (* y y) x)) (/ 1 (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x)))) (/ 1 (cbrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) 1 (/ x (pow y 2)) (/ (/ 1 y) y) x (/ 1 (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x)))) (/ 1 (cbrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) 1 (/ x (pow y 2)) (/ (/ 1 y) y) x (/ 1 (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x)))) (/ 1 (cbrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) 1 (/ x (pow y 2)) (/ (/ 1 y) y) x (/ x (pow y 2)) (/ (* y y) x) (/ 1 (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x)))) (/ 1 (sqrt (/ (* y y) x))) (/ (* (cbrt x) (cbrt x)) y) (/ (sqrt x) y) (/ 1 y) 1 (/ (/ 1 y) y) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (/ 1 y) y) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.880 * * * [progress]: adding candidates to table 0.963 * [progress]: [Phase 3 of 3] Extracting. 0.963 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.963 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.964 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 0.984 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.008 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.030 * * * [regime]: Found split indices: #