6.702 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ x (* y y)) 0.016 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.017 * [simplify]: Simplified to: (/ x (* y y)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.025 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of 0 in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.038 * [taylor]: Taking taylor expansion of -1 in y 0.038 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.038 * [taylor]: Taking taylor expansion of -1 in x 0.038 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 in x 0.039 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.039 * [taylor]: Taking taylor expansion of -1 in x 0.039 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of -1 in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [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 * * * [progress]: simplifying candidates 0.047 * [simplify]: Simplifying using # : (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (- (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)) 0.050 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.052 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.056 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.075 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.138 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.139 * [simplify]: Simplified to: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (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)) 0.139 * * * [progress]: adding candidates to table 0.177 * * [progress]: iteration 2 / 4 0.177 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.197 * * * [progress]: generating series expansions 0.197 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.197 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.213 * [taylor]: Taking taylor expansion of -1 in y 0.213 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.213 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.213 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of -1 in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * * * [progress]: simplifying candidates 0.222 * [simplify]: Simplifying using # : (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (- (- (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)) 0.227 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.232 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.251 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.253 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (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) 0.253 * * * [progress]: adding candidates to table 0.361 * * [progress]: iteration 3 / 4 0.361 * * * [progress]: picking best candidate 0.371 * * * * [pick]: Picked # 0.371 * * * [progress]: localizing error 0.376 * * * [progress]: generating rewritten candidates 0.376 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.394 * * * [progress]: generating series expansions 0.394 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.394 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.407 * [taylor]: Taking taylor expansion of -1 in y 0.407 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of -1 in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.416 * * * [progress]: simplifying candidates 0.416 * [simplify]: Simplifying using # : (expm1 (* (/ x y) (/ 1 y))) (log1p (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y)) (+ (- (log x) (log y)) (- (log y))) (+ (- (log x) (log y)) (- 0 (log y))) (+ (- (log x) (log y)) (- (log 1) (log y))) (+ (- (log x) (log y)) (log (/ 1 y))) (+ (log (/ x y)) (- (log y))) (+ (log (/ x y)) (- 0 (log y))) (+ (log (/ x y)) (- (log 1) (log y))) (+ (log (/ x y)) (log (/ 1 y))) (log (* (/ x y) (/ 1 y))) (exp (* (/ x y) (/ 1 y))) (* (/ (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (/ (* (* x x) x) (* (* y y) y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (* (* (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (* x 1) (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ x y) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt 1) (sqrt y))) (* (/ x y) (/ (sqrt 1) 1)) (* (/ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x y) (/ 1 (sqrt y))) (* (/ x y) (/ 1 1)) (* (/ x y) 1) (* (/ x y) 1) (* (cbrt (/ x y)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (* (/ (cbrt x) (sqrt y)) (/ 1 y)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (* (/ (sqrt x) (sqrt y)) (/ 1 y)) (* (/ (sqrt x) y) (/ 1 y)) (* (/ x (cbrt y)) (/ 1 y)) (* (/ x (sqrt y)) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ 1 y) (/ 1 y)) (* (/ x y) 1) (* x (/ 1 y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.421 * * [simplify]: iteration 0 : 329 enodes (cost 308 ) 0.428 * * [simplify]: iteration 1 : 1580 enodes (cost 261 ) 0.458 * * [simplify]: iteration 2 : 5002 enodes (cost 227 ) 0.459 * [simplify]: Simplified to: (expm1 (* (/ x y) (/ 1 y))) (log1p (* (/ x y) (/ 1 y))) (/ (/ x y) y) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (exp (* (/ x y) (/ 1 y))) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (pow (/ (/ x y) y) 3) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) x (pow y 2) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (/ x y) (* (cbrt (/ x y)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (/ (/ (cbrt x) y) (pow y 1/2)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (/ (/ (sqrt x) y) (pow y 1/2)) (* (/ (sqrt x) y) (/ 1 y)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ 1 (pow y 2)) (/ x y) (/ x y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.460 * * * [progress]: adding candidates to table 0.547 * * [progress]: iteration 4 / 4 0.547 * * * [progress]: picking best candidate 0.556 * * * * [pick]: Picked # 0.557 * * * [progress]: localizing error 0.564 * * * [progress]: generating rewritten candidates 0.564 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.565 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.567 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.568 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.592 * * * [progress]: generating series expansions 0.592 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.592 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.592 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.592 * [taylor]: Taking taylor expansion of 1/3 in y 0.592 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.592 * [taylor]: Taking taylor expansion of (/ x y) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.593 * [taylor]: Taking taylor expansion of 1/3 in x 0.593 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.593 * [taylor]: Taking taylor expansion of (/ x y) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.593 * [taylor]: Taking taylor expansion of 1/3 in x 0.593 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.593 * [taylor]: Taking taylor expansion of (/ x y) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.594 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.594 * [taylor]: Taking taylor expansion of 1/3 in y 0.594 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.594 * [taylor]: Taking taylor expansion of (log x) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.615 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.615 * [taylor]: Taking taylor expansion of 1/3 in y 0.615 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.615 * [taylor]: Taking taylor expansion of (/ y x) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.616 * [taylor]: Taking taylor expansion of 1/3 in x 0.616 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ y x) in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.616 * [taylor]: Taking taylor expansion of 1/3 in x 0.616 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ y x) in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.617 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.617 * [taylor]: Taking taylor expansion of 1/3 in y 0.617 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.617 * [taylor]: Taking taylor expansion of (log y) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (log x) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.634 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.634 * [taylor]: Taking taylor expansion of 1/3 in y 0.634 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.634 * [taylor]: Taking taylor expansion of (/ y x) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.635 * [taylor]: Taking taylor expansion of 1/3 in x 0.635 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ y x) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.635 * [taylor]: Taking taylor expansion of 1/3 in x 0.635 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ y x) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.636 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.636 * [taylor]: Taking taylor expansion of 1/3 in y 0.636 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.636 * [taylor]: Taking taylor expansion of (log y) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of (log x) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.654 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.654 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.654 * [taylor]: Taking taylor expansion of 1/3 in y 0.654 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.654 * [taylor]: Taking taylor expansion of (/ x y) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.654 * [taylor]: Taking taylor expansion of 1/3 in x 0.654 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.654 * [taylor]: Taking taylor expansion of (/ x y) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.655 * [taylor]: Taking taylor expansion of 1/3 in x 0.655 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.655 * [taylor]: Taking taylor expansion of (/ x y) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.655 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.655 * [taylor]: Taking taylor expansion of 1/3 in y 0.655 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.655 * [taylor]: Taking taylor expansion of (log x) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.672 * [taylor]: Taking taylor expansion of 0 in y 0.672 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.672 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.672 * [taylor]: Taking taylor expansion of 1/3 in y 0.672 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.672 * [taylor]: Taking taylor expansion of (/ y x) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.673 * [taylor]: Taking taylor expansion of 1/3 in x 0.673 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ y x) in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.673 * [taylor]: Taking taylor expansion of 1/3 in x 0.673 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ y x) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.674 * [taylor]: Taking taylor expansion of 1/3 in y 0.674 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.674 * [taylor]: Taking taylor expansion of (log y) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (log x) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.692 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.692 * [taylor]: Taking taylor expansion of 1/3 in y 0.692 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ y x) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.692 * [taylor]: Taking taylor expansion of 1/3 in x 0.692 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ y x) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.693 * [taylor]: Taking taylor expansion of 1/3 in x 0.693 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ y x) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.696 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.696 * [taylor]: Taking taylor expansion of 1/3 in y 0.696 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.696 * [taylor]: Taking taylor expansion of (log y) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (log x) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.713 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.714 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.714 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.714 * [taylor]: Taking taylor expansion of 1/3 in y 0.714 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.714 * [taylor]: Taking taylor expansion of (/ x y) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.714 * [taylor]: Taking taylor expansion of 1/3 in x 0.714 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.714 * [taylor]: Taking taylor expansion of (/ x y) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.715 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.715 * [taylor]: Taking taylor expansion of 1/3 in x 0.715 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.715 * [taylor]: Taking taylor expansion of (/ x y) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.715 * [taylor]: Taking taylor expansion of 1/3 in y 0.715 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.715 * [taylor]: Taking taylor expansion of (log x) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.732 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.732 * [taylor]: Taking taylor expansion of 1/3 in y 0.732 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.732 * [taylor]: Taking taylor expansion of (/ y x) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.733 * [taylor]: Taking taylor expansion of 1/3 in x 0.733 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ y x) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.733 * [taylor]: Taking taylor expansion of 1/3 in x 0.733 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ y x) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.734 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.734 * [taylor]: Taking taylor expansion of 1/3 in y 0.734 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.734 * [taylor]: Taking taylor expansion of (log y) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (log x) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.751 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.751 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.751 * [taylor]: Taking taylor expansion of 1/3 in y 0.751 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.751 * [taylor]: Taking taylor expansion of (/ y x) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.752 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.752 * [taylor]: Taking taylor expansion of 1/3 in x 0.752 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ y x) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.753 * [taylor]: Taking taylor expansion of 1/3 in x 0.753 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ y x) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.753 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.753 * [taylor]: Taking taylor expansion of 1/3 in y 0.753 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.753 * [taylor]: Taking taylor expansion of (log y) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (log x) in y 0.753 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.771 * [taylor]: Taking taylor expansion of 0 in y 0.771 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.771 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.771 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in y 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in y 0.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in y 0.771 * [taylor]: Taking taylor expansion of 1/3 in y 0.771 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in y 0.771 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 0.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 0.772 * [taylor]: Taking taylor expansion of 1/3 in x 0.772 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 0.772 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.773 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 0.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 0.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 0.773 * [taylor]: Taking taylor expansion of 1/3 in x 0.773 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 0.773 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.773 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.774 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.774 * [taylor]: Taking taylor expansion of 1/3 in y 0.774 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.774 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.774 * [taylor]: Taking taylor expansion of 2 in y 0.775 * [taylor]: Taking taylor expansion of (log x) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 0.802 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 0.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 0.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 0.802 * [taylor]: Taking taylor expansion of 1/3 in y 0.802 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 0.802 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.802 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.803 * [taylor]: Taking taylor expansion of 1/3 in x 0.803 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.803 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.804 * [taylor]: Taking taylor expansion of 1/3 in x 0.804 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.804 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 0.805 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 0.805 * [taylor]: Taking taylor expansion of 1/3 in y 0.805 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 0.805 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.806 * [taylor]: Taking taylor expansion of 2 in y 0.806 * [taylor]: Taking taylor expansion of (log x) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 0.828 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 0.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 0.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 0.828 * [taylor]: Taking taylor expansion of 1/3 in y 0.828 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 0.828 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.828 * [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 (pow x 2) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.829 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.829 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.829 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.829 * [taylor]: Taking taylor expansion of 1/3 in x 0.829 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.829 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.829 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.831 * [taylor]: Taking taylor expansion of 1/3 in x 0.831 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.831 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 0.832 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 0.832 * [taylor]: Taking taylor expansion of 1/3 in y 0.832 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 0.832 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.832 * [taylor]: Taking taylor expansion of 2 in y 0.832 * [taylor]: Taking taylor expansion of (log x) in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.854 * * * [progress]: simplifying candidates 0.856 * [simplify]: Simplifying using # : (expm1 (cbrt (/ x y))) (log1p (cbrt (/ x y))) (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ x (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ x y)) (cbrt 1) (cbrt (/ x y)) (cbrt x) (cbrt (/ 1 y)) (cbrt x) (cbrt y) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (expm1 (cbrt (/ x y))) (log1p (cbrt (/ x y))) (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ x (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ x y)) (cbrt 1) (cbrt (/ x y)) (cbrt x) (cbrt (/ 1 y)) (cbrt x) (cbrt y) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (expm1 (cbrt (/ x y))) (log1p (cbrt (/ x y))) (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ x (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ x y)) (cbrt 1) (cbrt (/ x y)) (cbrt x) (cbrt (/ 1 y)) (cbrt x) (cbrt y) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (expm1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (log1p (* (cbrt (/ x y)) (cbrt (/ x y)))) (+ 1/3 1/3) (+ 1 1) (* (/ x y) (/ x y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (+ 1 1) (+ (log (cbrt (/ x y))) (log (cbrt (/ x y)))) (log (* (cbrt (/ x y)) (cbrt (/ x y)))) (exp (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ x y) (/ x y)) (* (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y))))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt (/ x y)) (cbrt (/ x y)))) (sqrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (sqrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)) (* (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y))))) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (cbrt x) (cbrt y)))) (* (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (* (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y)))) (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (* (cbrt x) (cbrt x)) 1))) (* (cbrt (/ (cbrt x) y)) (cbrt (/ (cbrt x) y))) (* (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y))))) (* (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (cbrt y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) 1))) (* (cbrt (/ (sqrt x) y)) (cbrt (/ (sqrt x) y))) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ x (cbrt y))) (cbrt (/ x (cbrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ x (sqrt y))) (cbrt (/ x (sqrt y)))) (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt 1) (cbrt 1)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt x) (cbrt x)) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y))))) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y)))) (* 1 1) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (sqrt (/ x y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (sqrt (/ x y))) (sqrt (cbrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (sqrt (cbrt (/ x y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (sqrt (/ x y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (sqrt (/ x y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (sqrt (cbrt (/ x y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (sqrt (cbrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (sqrt (cbrt (/ x y))) (cbrt (/ (sqrt x) (sqrt y)))) (* 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(log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (* 2 (log (/ 1 x)))))) (exp (* 1/3 (- (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x)))))) 0.863 * * [simplify]: iteration 0 : 267 enodes (cost 1139 ) 0.869 * * [simplify]: iteration 1 : 917 enodes (cost 1091 ) 0.889 * * [simplify]: iteration 2 : 3590 enodes (cost 1046 ) 0.927 * * [simplify]: iteration 3 : 5001 enodes (cost 1022 ) 0.938 * [simplify]: Simplified to: (expm1 (cbrt (/ x y))) (log1p (cbrt (/ x y))) (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* 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(cbrt (/ x y))))) (* (cbrt (/ x y)) (cbrt (sqrt (/ x y)))) (* (cbrt (/ x y)) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (* (cbrt (/ x y)) (cbrt (/ (* (cbrt x) (cbrt x)) 1))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) 1))) (* (cbrt (/ x y)) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ 1 (sqrt y)))) (cbrt (/ x y)) (cbrt (/ x y)) (* (cbrt (/ x y)) (cbrt x)) (pow (cbrt (cbrt (/ x y))) 5) (pow (sqrt (cbrt (/ x y))) 3) (cbrt (/ x y)) (pow (cbrt (cbrt (/ x y))) 4) (* (cbrt (/ x y)) (cbrt (sqrt (/ x y)))) (* (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ x y))) (* (cbrt (/ (cbrt x) y)) (cbrt (/ x y))) (* (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) y)) (cbrt (/ x y))) (* (cbrt (/ x (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ x (sqrt y))) (cbrt (/ x y))) (pow (sqrt (cbrt (/ x y))) 4) (pow (sqrt (cbrt (/ x y))) 4) (* (cbrt (/ 1 y)) (cbrt (/ x y))) (pow (cbrt (cbrt (/ x y))) 4) (pow (sqrt (cbrt (/ x y))) 3) (pow (sqrt (cbrt (/ x y))) 4) (* (cbrt (/ x y)) (cbrt x)) (* (cbrt (/ x y)) (cbrt x)) (cbrt (/ x y)) (cbrt (/ x y)) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (cbrt (/ x y)) (cbrt (/ x y)) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (cbrt (/ x y)) (cbrt (/ x y)) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (pow (sqrt (cbrt (/ x y))) 4) (pow (sqrt (cbrt (/ x y))) 4) (pow (exp 2/3) (- (log (/ -1 y)) (log (/ -1 x)))) 0.939 * * * [progress]: adding candidates to table 1.320 * [progress]: [Phase 3 of 3] Extracting. 1.320 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.321 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 1.321 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 1.344 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.369 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.390 * * * [regime]: Found split indices: #