6.150 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.018 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.019 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (/ x (+ x y)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (+ x y) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ x y) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ x y) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.042 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.042 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.043 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.056 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.069 * * * [progress]: simplifying candidates 0.070 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.073 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.076 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.081 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.100 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.148 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.149 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.149 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.214 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.218 * * * [progress]: generating rewritten candidates 0.218 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.233 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.241 * * * [progress]: generating series expansions 0.241 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.242 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.253 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.254 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.254 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.256 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of 1 in y 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.267 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.267 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1 in y 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.283 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.283 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.283 * [taylor]: Taking taylor expansion of (+ x y) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.283 * [taylor]: Taking taylor expansion of (+ x y) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.284 * [taylor]: Taking taylor expansion of (+ x y) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.295 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.304 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.304 * [taylor]: Taking taylor expansion of -1 in y 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of -1 in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of -1 in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.314 * * * [progress]: simplifying candidates 0.315 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.320 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.325 * * [simplify]: iteration 1 : 1017 enodes (cost 310 ) 0.342 * * [simplify]: iteration 2 : 3519 enodes (cost 272 ) 0.371 * * [simplify]: iteration 3 : 5001 enodes (cost 272 ) 0.373 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (/ x (+ x y)) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (exp (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ x y) (+ x y) (+ x y) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.374 * * * [progress]: adding candidates to table 0.480 * * [progress]: iteration 3 / 4 0.480 * * * [progress]: picking best candidate 0.483 * * * * [pick]: Picked # 0.483 * * * [progress]: localizing error 0.494 * * * [progress]: generating rewritten candidates 0.494 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.494 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.495 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.495 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.501 * * * [progress]: generating series expansions 0.501 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.501 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.501 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.501 * [taylor]: Taking taylor expansion of 1/3 in x 0.501 * [taylor]: Taking taylor expansion of (log x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.502 * [taylor]: Taking taylor expansion of 1/3 in x 0.502 * [taylor]: Taking taylor expansion of (log x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.549 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.550 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of 1/3 in x 0.550 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of 1/3 in x 0.551 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.603 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.603 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.603 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.603 * [taylor]: Taking taylor expansion of -1 in x 0.604 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.604 * [taylor]: Taking taylor expansion of 1/3 in x 0.604 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.605 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.605 * [taylor]: Taking taylor expansion of -1 in x 0.606 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of 1/3 in x 0.606 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.669 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.669 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.669 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.669 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.669 * [taylor]: Taking taylor expansion of 1/3 in x 0.669 * [taylor]: Taking taylor expansion of (log x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.670 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.670 * [taylor]: Taking taylor expansion of 1/3 in x 0.670 * [taylor]: Taking taylor expansion of (log x) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.720 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of 1/3 in x 0.720 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.721 * [taylor]: Taking taylor expansion of 1/3 in x 0.721 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.771 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.771 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.771 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.771 * [taylor]: Taking taylor expansion of -1 in x 0.772 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.772 * [taylor]: Taking taylor expansion of 1/3 in x 0.772 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.773 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.773 * [taylor]: Taking taylor expansion of -1 in x 0.774 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.774 * [taylor]: Taking taylor expansion of 1/3 in x 0.774 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.839 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.839 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.839 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.839 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.839 * [taylor]: Taking taylor expansion of 1/3 in x 0.839 * [taylor]: Taking taylor expansion of (log x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.839 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.839 * [taylor]: Taking taylor expansion of 1/3 in x 0.839 * [taylor]: Taking taylor expansion of (log x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.891 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.891 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.891 * [taylor]: Taking taylor expansion of 1/3 in x 0.891 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.892 * [taylor]: Taking taylor expansion of 1/3 in x 0.892 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.946 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.946 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.946 * [taylor]: Taking taylor expansion of -1 in x 0.947 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of 1/3 in x 0.947 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.948 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.949 * [taylor]: Taking taylor expansion of -1 in x 0.949 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.949 * [taylor]: Taking taylor expansion of 1/3 in x 0.949 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 1.013 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.013 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/3) in (x y) around 0 1.013 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 1.013 * [taylor]: Taking taylor expansion of 1/3 in y 1.013 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 1.013 * [taylor]: Taking taylor expansion of (+ x y) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 1.013 * [taylor]: Taking taylor expansion of 1/3 in x 1.013 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 1.013 * [taylor]: Taking taylor expansion of (+ x y) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 1.013 * [taylor]: Taking taylor expansion of 1/3 in x 1.013 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 1.013 * [taylor]: Taking taylor expansion of (+ x y) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.014 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.014 * [taylor]: Taking taylor expansion of 1/3 in y 1.014 * [taylor]: Taking taylor expansion of (log y) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 1.015 * [taylor]: Taking taylor expansion of 1/3 in y 1.015 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.015 * [taylor]: Taking taylor expansion of 1/3 in y 1.015 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.020 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow y 5)) 1/3)) in y 1.020 * [taylor]: Taking taylor expansion of -1/9 in y 1.023 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 1.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 1.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 1.023 * [taylor]: Taking taylor expansion of 1/3 in y 1.023 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.023 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.026 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (x y) around 0 1.026 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.026 * [taylor]: Taking taylor expansion of 1/3 in y 1.026 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.026 * [taylor]: Taking taylor expansion of x in y 1.027 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 1.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 1.027 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 1.027 * [taylor]: Taking taylor expansion of 1/3 in x 1.027 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 1.029 * [taylor]: Taking taylor expansion of 1/3 in x 1.029 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.030 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.030 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.030 * [taylor]: Taking taylor expansion of -1/3 in y 1.030 * [taylor]: Taking taylor expansion of (log x) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.032 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 x) 1/3) (/ 1 y))) in y 1.032 * [taylor]: Taking taylor expansion of 1/3 in y 1.032 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 y)) in y 1.032 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.032 * [taylor]: Taking taylor expansion of 1/3 in y 1.032 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.032 * [taylor]: Taking taylor expansion of x in y 1.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of (* -1/9 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.039 * [taylor]: Taking taylor expansion of -1/9 in y 1.039 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.039 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.039 * [taylor]: Taking taylor expansion of 1/3 in y 1.039 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.039 * [taylor]: Taking taylor expansion of x in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.057 * [taylor]: Taking taylor expansion of (* 5/81 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3)))) in y 1.057 * [taylor]: Taking taylor expansion of 5/81 in y 1.057 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 3))) in y 1.057 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.057 * [taylor]: Taking taylor expansion of 1/3 in y 1.057 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.057 * [taylor]: Taking taylor expansion of x in y 1.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.057 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.072 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (x y) around 0 1.072 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 1.072 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.072 * [taylor]: Taking taylor expansion of -1 in y 1.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.073 * [taylor]: Taking taylor expansion of 1/3 in y 1.073 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.073 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 1.074 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.074 * [taylor]: Taking taylor expansion of -1 in x 1.074 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 1.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 1.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 1.075 * [taylor]: Taking taylor expansion of 1/3 in x 1.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 1.076 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.076 * [taylor]: Taking taylor expansion of -1 in x 1.076 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 1.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 1.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 1.077 * [taylor]: Taking taylor expansion of 1/3 in x 1.077 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in y 1.078 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.078 * [taylor]: Taking taylor expansion of -1 in y 1.079 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.079 * [taylor]: Taking taylor expansion of 1/3 in y 1.079 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.079 * [taylor]: Taking taylor expansion of x in y 1.083 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3))) in y 1.083 * [taylor]: Taking taylor expansion of 1/3 in y 1.083 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) y) (pow (/ 1 x) 1/3)) in y 1.083 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 1.083 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.083 * [taylor]: Taking taylor expansion of -1 in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.084 * [taylor]: Taking taylor expansion of 1/3 in y 1.084 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.093 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)))) in y 1.094 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3))) in y 1.094 * [taylor]: Taking taylor expansion of 1/9 in y 1.094 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 2)) (pow (/ 1 x) 1/3)) in y 1.094 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 1.094 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.094 * [taylor]: Taking taylor expansion of -1 in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.095 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.095 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.095 * [taylor]: Taking taylor expansion of 1/3 in y 1.095 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.095 * [taylor]: Taking taylor expansion of x in y 1.123 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3))) in y 1.123 * [taylor]: Taking taylor expansion of 5/81 in y 1.123 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow y 3)) (pow (/ 1 x) 1/3)) in y 1.123 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 3)) in y 1.123 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.123 * [taylor]: Taking taylor expansion of -1 in y 1.124 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.125 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.125 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.125 * [taylor]: Taking taylor expansion of 1/3 in y 1.125 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.142 * * * [progress]: simplifying candidates 1.143 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (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 1) (cbrt (+ x y)) (cbrt 1) (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- (* x x) (* y y))) (cbrt (- x 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))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (- (+ (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3)))) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.147 * * [simplify]: iteration 0 : 147 enodes (cost 222 ) 1.150 * * [simplify]: iteration 1 : 378 enodes (cost 207 ) 1.157 * * [simplify]: iteration 2 : 1203 enodes (cost 199 ) 1.187 * * [simplify]: iteration 3 : 5001 enodes (cost 199 ) 1.189 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (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 1) (cbrt (+ x y)) (cbrt 1) (cbrt (+ x y)) (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (- (* x x) (* y y))) (cbrt (- x y)) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y)))) (cbrt (cbrt (+ x y))) (+ x y) (sqrt (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (fma (* 1/3 x) (pow (/ 1 (pow y 2)) 1/3) (- (pow y 1/3) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))))) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.189 * * * [progress]: adding candidates to table 1.377 * * [progress]: iteration 4 / 4 1.377 * * * [progress]: picking best candidate 1.379 * * * * [pick]: Picked # 1.379 * * * [progress]: localizing error 1.385 * * * [progress]: generating rewritten candidates 1.386 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.394 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.402 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.416 * * * [progress]: generating series expansions 1.416 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.416 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.416 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of (+ x y) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (+ x y) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (+ x y) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.418 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.418 * [taylor]: Taking taylor expansion of y in y 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.422 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.422 * [taylor]: Taking taylor expansion of y in y 1.428 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.428 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.428 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.429 * [taylor]: Taking taylor expansion of x in y 1.429 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.429 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.431 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.431 * [taylor]: Taking taylor expansion of y in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of 1 in y 1.434 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.434 * [taylor]: Taking taylor expansion of y in y 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.437 * [taylor]: Taking taylor expansion of y in y 1.441 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.441 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.441 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.442 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.442 * [taylor]: Taking taylor expansion of y in y 1.442 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.442 * [taylor]: Taking taylor expansion of x in y 1.442 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.442 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.442 * [taylor]: Taking taylor expansion of y in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.444 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of 1 in y 1.447 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.447 * [taylor]: Taking taylor expansion of y in y 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.450 * [taylor]: Taking taylor expansion of y in y 1.454 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.455 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 1.455 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 1.455 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.455 * [taylor]: Taking taylor expansion of x in y 1.455 * [taylor]: Taking taylor expansion of (+ x y) in y 1.455 * [taylor]: Taking taylor expansion of x in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.455 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.455 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (+ x y) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of y in x 1.455 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.455 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (+ x y) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of y in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.455 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.461 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 1.461 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.461 * [taylor]: Taking taylor expansion of 3 in y 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.461 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.471 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 1.472 * [taylor]: Taking taylor expansion of 6 in y 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.472 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.472 * [taylor]: Taking taylor expansion of y in y 1.492 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.492 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.492 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.492 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.492 * [taylor]: Taking taylor expansion of x in y 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.492 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.492 * [taylor]: Taking taylor expansion of x in y 1.493 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.493 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.493 * [taylor]: Taking taylor expansion of y in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.495 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.495 * [taylor]: Taking taylor expansion of y in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of 1 in y 1.498 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.498 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.498 * [taylor]: Taking taylor expansion of 3 in y 1.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.498 * [taylor]: Taking taylor expansion of y in y 1.504 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.504 * [taylor]: Taking taylor expansion of 6 in y 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.504 * [taylor]: Taking taylor expansion of y in y 1.512 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.512 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.512 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.512 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.512 * [taylor]: Taking taylor expansion of x in y 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.512 * [taylor]: Taking taylor expansion of x in y 1.513 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.513 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.513 * [taylor]: Taking taylor expansion of y in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.514 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.517 * [taylor]: Taking taylor expansion of 1 in y 1.518 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.518 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.518 * [taylor]: Taking taylor expansion of 3 in y 1.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.524 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.524 * [taylor]: Taking taylor expansion of 6 in y 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.524 * [taylor]: Taking taylor expansion of y in y 1.531 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.531 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.531 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of (+ x y) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.532 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (+ x y) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of y in x 1.532 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (+ x y) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of y in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.533 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.536 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.542 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.542 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.543 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.543 * [taylor]: Taking taylor expansion of x in y 1.543 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.543 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.543 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.543 * [taylor]: Taking taylor expansion of x in y 1.543 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.543 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.545 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.545 * [taylor]: Taking taylor expansion of y in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of 1 in y 1.548 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.555 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.555 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.555 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.555 * [taylor]: Taking taylor expansion of x in y 1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.556 * [taylor]: Taking taylor expansion of x in y 1.556 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.556 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.558 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of 1 in y 1.562 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.562 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.562 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.571 * * * [progress]: simplifying candidates 1.573 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (/ x (+ x y)) 3))) (log1p (cbrt (pow (/ x (+ x y)) 3))) (log (cbrt (pow (/ x (+ x y)) 3))) (exp (cbrt (pow (/ x (+ x y)) 3))) (cbrt (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) 3)) (cbrt (pow (cbrt (/ x (+ x y))) 3)) (cbrt (pow (sqrt (/ x (+ x y))) 3)) (cbrt (pow (sqrt (/ x (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ x y)) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ x y)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ x y))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ x y))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ x y))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ x y)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ x y)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (/ x (cbrt (+ x y))) 3)) (cbrt (pow (/ 1 (sqrt (+ x y))) 3)) (cbrt (pow (/ x (sqrt (+ x y))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow x 3)) (cbrt (pow (/ 1 (+ x y)) 3)) (cbrt (pow (/ x (+ (pow x 3) (pow y 3))) 3)) (cbrt (pow (+ (* x x) (- (* y y) (* x y))) 3)) (cbrt (pow (/ x (- (* x x) (* y y))) 3)) (cbrt (pow (- x y) 3)) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (/ x (+ x y))) (cbrt (* (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow (/ x (+ x y)) 3)))) (cbrt (cbrt (pow (/ x (+ x y)) 3))) (cbrt (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) 3)) (cbrt (pow (cbrt (/ x (+ x y))) 3)) (cbrt (pow (sqrt (/ x (+ x y))) 3)) (cbrt (pow (sqrt (/ x (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ x y))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ x y)) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ x y)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ x y))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ x y))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ x y))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ x y)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ x y)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) 3)) (cbrt (pow (/ x (cbrt (+ x y))) 3)) (cbrt (pow (/ 1 (sqrt (+ x y))) 3)) (cbrt (pow (/ x (sqrt (+ x y))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow x 3)) (cbrt (pow (/ 1 (+ x y)) 3)) (cbrt (pow (/ x (+ (pow x 3) (pow y 3))) 3)) (cbrt (pow (+ (* x x) (- (* y y) (* x y))) 3)) (cbrt (pow (/ x (- (* x x) (* y y))) 3)) (cbrt (pow (- x y) 3)) (cbrt (/ x (+ x y))) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (sqrt (pow (/ x (+ x y)) 3))) (cbrt (sqrt (pow (/ x (+ x y)) 3))) (cbrt 1) (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow (/ x (+ x y)) (/ 3 2))) (cbrt (pow (/ x (+ x y)) (/ 3 2))) (cbrt (pow x 3)) (cbrt (pow (+ x y) 3)) (* (cbrt (cbrt (pow (/ x (+ x y)) 3))) (cbrt (cbrt (pow (/ x (+ x y)) 3)))) (cbrt (cbrt (pow (/ x (+ x y)) 3))) (* (* (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow (/ x (+ x y)) 3))) (cbrt (pow (/ x (+ x y)) 3))) (sqrt (cbrt (pow (/ x (+ x y)) 3))) (sqrt (cbrt (pow (/ x (+ x y)) 3))) (expm1 (pow (/ x (+ x y)) 3)) (log1p (pow (/ x (+ x y)) 3)) (* (- (log x) (log (+ x y))) 3) (* (log (/ x (+ x y))) 3) (* (log (/ x (+ x y))) 3) (* 1 3) (pow (/ x (+ x y)) (* (cbrt 3) (cbrt 3))) (pow (/ x (+ x y)) (sqrt 3)) (pow (/ x (+ x y)) 1) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) 3) (pow (cbrt (/ x (+ x y))) 3) (pow (sqrt (/ x (+ x y))) 3) (pow (sqrt (/ x (+ x y))) 3) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (/ (cbrt x) (cbrt (+ x y))) 3) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) 3) (pow (/ (cbrt x) (sqrt (+ x y))) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ x y)) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ x y)) 3) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (/ (sqrt x) (cbrt (+ x y))) 3) (pow (/ (sqrt x) (sqrt (+ x y))) 3) (pow (/ (sqrt x) (sqrt (+ x y))) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ x y)) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ x y)) 3) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (/ x (cbrt (+ x y))) 3) (pow (/ 1 (sqrt (+ x y))) 3) (pow (/ x (sqrt (+ x y))) 3) (pow (/ 1 1) 3) (pow (/ x (+ x y)) 3) (pow (/ 1 1) 3) (pow (/ x (+ x y)) 3) (pow 1 3) (pow (/ x (+ x y)) 3) (pow x 3) (pow (/ 1 (+ x y)) 3) (pow (/ x (+ (pow x 3) (pow y 3))) 3) (pow (+ (* x x) (- (* y y) (* x y))) 3) (pow (/ x (- (* x x) (* y y))) 3) (pow (- x y) 3) (* (/ x (+ x y)) (/ x (+ x y))) (log (pow (/ x (+ x y)) 3)) (exp (pow (/ x (+ x y)) 3)) (* (cbrt (pow (/ x (+ x y)) 3)) (cbrt (pow (/ x (+ x y)) 3))) (cbrt (pow (/ x (+ x y)) 3)) (* (* (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3)) (pow (/ x (+ x y)) 3)) (pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) 3) (pow (cbrt (/ x (+ x y))) 3) (pow (sqrt (/ x (+ x y))) 3) (pow (sqrt (/ x (+ x y))) 3) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (/ (cbrt x) (cbrt (+ x y))) 3) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) 3) (pow (/ (cbrt x) (sqrt (+ x y))) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ x y)) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ x y)) 3) (pow (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (/ (sqrt x) (cbrt (+ x y))) 3) (pow (/ (sqrt x) (sqrt (+ x y))) 3) (pow (/ (sqrt x) (sqrt (+ x y))) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ x y)) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ x y)) 3) (pow (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (/ x (cbrt (+ x y))) 3) (pow (/ 1 (sqrt (+ x y))) 3) (pow (/ x (sqrt (+ x y))) 3) (pow (/ 1 1) 3) (pow (/ x (+ x y)) 3) (pow (/ 1 1) 3) (pow (/ x (+ x y)) 3) (pow 1 3) (pow (/ x (+ x y)) 3) (pow x 3) (pow (/ 1 (+ x y)) 3) (pow (/ x (+ (pow x 3) (pow y 3))) 3) (pow (+ (* x x) (- (* y y) (* x y))) 3) (pow (/ x (- (* x x) (* y y))) 3) (pow (- x y) 3) (pow x 3) (pow (+ x y) 3) (* (/ x (+ x y)) (/ x (+ x y))) (sqrt (pow (/ x (+ x y)) 3)) (sqrt (pow (/ x (+ x y)) 3)) (pow (/ x (+ x y)) (/ 3 2)) (pow (/ x (+ x y)) (/ 3 2)) (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 0 0 0 1.580 * * [simplify]: iteration 0 : 396 enodes (cost 824 ) 1.587 * * [simplify]: iteration 1 : 1788 enodes (cost 743 ) 1.619 * * [simplify]: iteration 2 : 5001 enodes (cost 733 ) 1.623 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (/ x (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) x (/ 1 (+ x y)) (/ x (+ (pow x 3) (pow y 3))) (fma x x (* y (- y x))) (/ x (- (* x x) (* y y))) (- x y) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (/ x (+ x y))) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (/ x (+ x y))) (cbrt (* (/ x (+ x y)) (/ x (+ x y)))) (cbrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x 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x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 0 0 0 1.624 * * * [progress]: adding candidates to table 1.825 * [progress]: [Phase 3 of 3] Extracting. 1.825 * * [regime]: Finding splitpoints for: (# # # #) 1.826 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.826 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # # #) 1.839 * * * * [regimes]: Trying to branch on y from (# # # #) 1.854 * * * * [regimes]: Trying to branch on x from (# # # #) 1.871 * * * [regime]: Found split indices: #