4.336 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.015 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.017 * [simplify]: Simplified to: (/ x (+ y x)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (+ x y) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.047 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.048 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.064 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.064 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.067 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.071 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.080 * * * [progress]: simplifying candidates 0.081 * [simplify]: Simplifying using # : (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.085 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.089 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.096 * * [simplify]: iteration 2 : 1031 enodes (cost 144 ) 0.119 * * [simplify]: iteration 3 : 3646 enodes (cost 144 ) 0.175 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.176 * [simplify]: Simplified to: (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.176 * * * [progress]: adding candidates to table 0.233 * * [progress]: iteration 2 / 4 0.233 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.244 * * * [progress]: generating rewritten candidates 0.244 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.256 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.265 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (+ x y) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (+ x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (+ x y) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.279 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.280 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.280 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.300 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.300 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.301 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.303 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of 1 in y 0.307 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y 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 0.316 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.316 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.316 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.316 * [taylor]: Taking taylor expansion of (+ x y) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.316 * [taylor]: Taking taylor expansion of (+ x y) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.316 * [taylor]: Taking taylor expansion of (+ x y) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.330 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.330 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of 1 in x 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.342 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.342 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of -1 in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.344 * [taylor]: Taking taylor expansion of -1 in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.345 * [taylor]: Taking taylor expansion of -1 in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of -1 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.355 * * * [progress]: simplifying candidates 0.356 * [simplify]: Simplifying using # : (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.362 * * [simplify]: iteration 0 : 226 enodes (cost 346 ) 0.369 * * [simplify]: iteration 1 : 996 enodes (cost 296 ) 0.389 * * [simplify]: iteration 2 : 3449 enodes (cost 258 ) 0.423 * * [simplify]: iteration 3 : 5001 enodes (cost 258 ) 0.426 * [simplify]: Simplified to: (/ x (+ y x)) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (exp (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (- 1) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.427 * * * [progress]: adding candidates to table 0.519 * * [progress]: iteration 3 / 4 0.519 * * * [progress]: picking best candidate 0.523 * * * * [pick]: Picked # 0.523 * * * [progress]: localizing error 0.539 * * * [progress]: generating rewritten candidates 0.539 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.541 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.543 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.544 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.549 * * * [progress]: generating series expansions 0.549 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.549 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.549 * [taylor]: Taking taylor expansion of 1/3 in x 0.549 * [taylor]: Taking taylor expansion of (log x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.551 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.551 * [taylor]: Taking taylor expansion of 1/3 in x 0.551 * [taylor]: Taking taylor expansion of (log x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.607 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.607 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of 1/3 in x 0.608 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of 1/3 in x 0.609 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.673 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.673 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.673 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.673 * [taylor]: Taking taylor expansion of -1 in x 0.674 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.675 * [taylor]: Taking taylor expansion of 1/3 in x 0.675 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.676 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.677 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.677 * [taylor]: Taking taylor expansion of 1/3 in x 0.677 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.754 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.754 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.754 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.754 * [taylor]: Taking taylor expansion of 1/3 in x 0.754 * [taylor]: Taking taylor expansion of (log x) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.755 * [taylor]: Taking taylor expansion of 1/3 in x 0.755 * [taylor]: Taking taylor expansion of (log x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.815 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.815 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.815 * [taylor]: Taking taylor expansion of 1/3 in x 0.815 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.817 * [taylor]: Taking taylor expansion of 1/3 in x 0.817 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.875 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.875 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.875 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.875 * [taylor]: Taking taylor expansion of -1 in x 0.876 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.877 * [taylor]: Taking taylor expansion of 1/3 in x 0.877 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.878 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.878 * [taylor]: Taking taylor expansion of -1 in x 0.885 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.885 * [taylor]: Taking taylor expansion of 1/3 in x 0.886 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.958 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.958 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.958 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.958 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.958 * [taylor]: Taking taylor expansion of 1/3 in x 0.958 * [taylor]: Taking taylor expansion of (log x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.959 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.959 * [taylor]: Taking taylor expansion of 1/3 in x 0.959 * [taylor]: Taking taylor expansion of (log x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 1.020 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.020 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.020 * [taylor]: Taking taylor expansion of 1/3 in x 1.020 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.022 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.022 * [taylor]: Taking taylor expansion of 1/3 in x 1.022 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.087 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.087 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.087 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.088 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.088 * [taylor]: Taking taylor expansion of 1/3 in x 1.088 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.089 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.089 * [taylor]: Taking taylor expansion of -1 in x 1.090 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.090 * [taylor]: Taking taylor expansion of 1/3 in x 1.090 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.169 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.169 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/3) in (y x) around 0 1.169 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 1.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 1.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 1.169 * [taylor]: Taking taylor expansion of 1/3 in x 1.169 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 1.170 * [taylor]: Taking taylor expansion of (+ x y) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of y in x 1.170 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 1.170 * [taylor]: Taking taylor expansion of 1/3 in y 1.170 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 1.170 * [taylor]: Taking taylor expansion of (+ x y) in y 1.170 * [taylor]: Taking taylor expansion of x in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.170 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 1.170 * [taylor]: Taking taylor expansion of 1/3 in y 1.170 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 1.170 * [taylor]: Taking taylor expansion of (+ x y) in y 1.170 * [taylor]: Taking taylor expansion of x in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.170 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.170 * [taylor]: Taking taylor expansion of 1/3 in x 1.170 * [taylor]: Taking taylor expansion of (log x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) in x 1.173 * [taylor]: Taking taylor expansion of 1/3 in x 1.173 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.173 * [taylor]: Taking taylor expansion of 1/3 in x 1.173 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow x 5)) 1/3)) in x 1.179 * [taylor]: Taking taylor expansion of -1/9 in x 1.179 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 5)) 1/3) in x 1.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 5))))) in x 1.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 5)))) in x 1.179 * [taylor]: Taking taylor expansion of 1/3 in x 1.179 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 5))) in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.182 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (y x) around 0 1.182 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 1.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 1.182 * [taylor]: Taking taylor expansion of 1/3 in x 1.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.184 * [taylor]: Taking taylor expansion of 1/3 in y 1.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.184 * [taylor]: Taking taylor expansion of x in y 1.185 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.186 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.186 * [taylor]: Taking taylor expansion of 1/3 in y 1.186 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.186 * [taylor]: Taking taylor expansion of y in y 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.186 * [taylor]: Taking taylor expansion of x in y 1.187 * [taylor]: Taking taylor expansion of (pow y -1/3) in x 1.187 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log y))) in x 1.187 * [taylor]: Taking taylor expansion of (* -1/3 (log y)) in x 1.187 * [taylor]: Taking taylor expansion of -1/3 in x 1.187 * [taylor]: Taking taylor expansion of (log y) in x 1.187 * [taylor]: Taking taylor expansion of y in x 1.189 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 x) (pow (/ 1 y) 1/3))) in x 1.189 * [taylor]: Taking taylor expansion of 1/3 in x 1.189 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (/ 1 y) 1/3)) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.190 * [taylor]: Taking taylor expansion of 1/3 in x 1.190 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.198 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) in x 1.198 * [taylor]: Taking taylor expansion of -1/9 in x 1.198 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3)) in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.199 * [taylor]: Taking taylor expansion of 1/3 in x 1.199 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.199 * [taylor]: Taking taylor expansion of y in x 1.220 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow x 3)) (pow (/ 1 y) 1/3))) in x 1.220 * [taylor]: Taking taylor expansion of 5/81 in x 1.220 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (pow (/ 1 y) 1/3)) in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.222 * [taylor]: Taking taylor expansion of 1/3 in x 1.222 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.222 * [taylor]: Taking taylor expansion of y in x 1.239 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (y x) around 0 1.240 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 1.240 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.240 * [taylor]: Taking taylor expansion of -1 in x 1.240 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 1.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 1.241 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 1.241 * [taylor]: Taking taylor expansion of 1/3 in x 1.241 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 1.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.241 * [taylor]: Taking taylor expansion of y in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 1.242 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.242 * [taylor]: Taking taylor expansion of -1 in y 1.243 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.243 * [taylor]: Taking taylor expansion of 1/3 in y 1.243 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.244 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.244 * [taylor]: Taking taylor expansion of x in y 1.245 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 1.245 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.245 * [taylor]: Taking taylor expansion of -1 in y 1.246 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.246 * [taylor]: Taking taylor expansion of 1/3 in y 1.246 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.246 * [taylor]: Taking taylor expansion of x in y 1.248 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in x 1.248 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.248 * [taylor]: Taking taylor expansion of -1 in x 1.256 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.256 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.256 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.256 * [taylor]: Taking taylor expansion of 1/3 in x 1.256 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.256 * [taylor]: Taking taylor expansion of y in x 1.260 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) x) (pow (/ 1 y) 1/3))) in x 1.260 * [taylor]: Taking taylor expansion of 1/3 in x 1.260 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) x) (pow (/ 1 y) 1/3)) in x 1.260 * [taylor]: Taking taylor expansion of (/ (cbrt -1) x) in x 1.260 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.260 * [taylor]: Taking taylor expansion of -1 in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.262 * [taylor]: Taking taylor expansion of 1/3 in x 1.262 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.262 * [taylor]: Taking taylor expansion of y in x 1.274 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow x 2)) (pow (/ 1 y) 1/3)))) in x 1.274 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow x 2)) (pow (/ 1 y) 1/3))) in x 1.274 * [taylor]: Taking taylor expansion of 1/9 in x 1.274 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow x 2)) (pow (/ 1 y) 1/3)) in x 1.274 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow x 2)) in x 1.274 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.274 * [taylor]: Taking taylor expansion of -1 in x 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.276 * [taylor]: Taking taylor expansion of 1/3 in x 1.277 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.305 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow x 3)) (pow (/ 1 y) 1/3))) in x 1.305 * [taylor]: Taking taylor expansion of 5/81 in x 1.306 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow x 3)) (pow (/ 1 y) 1/3)) in x 1.306 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow x 3)) in x 1.306 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.306 * [taylor]: Taking taylor expansion of -1 in x 1.307 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.308 * [taylor]: Taking taylor expansion of 1/3 in x 1.308 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.308 * [taylor]: Taking taylor expansion of y in x 1.329 * * * [progress]: simplifying candidates 1.330 * [simplify]: Simplifying using # : (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)) (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)) (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)) (log (cbrt (+ y x))) (exp (cbrt (+ y x))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (cbrt (+ y x))) (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x))) (cbrt 1) (cbrt (+ y x)) (cbrt 1) (cbrt (+ y x)) (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (- (* y y) (* x x))) (cbrt (- y x)) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (cbrt (cbrt (+ y x))) (* (* (cbrt (+ y x)) (cbrt (+ y x))) (cbrt (+ y x))) (sqrt (cbrt (+ y x))) (sqrt (cbrt (+ y x))) (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)) (- (+ (pow x 1/3) (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) y))) (* 1/9 (* (pow (/ 1 (pow x 5)) 1/3) (pow y 2)))) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.335 * * [simplify]: iteration 0 : 147 enodes (cost 204 ) 1.339 * * [simplify]: iteration 1 : 364 enodes (cost 190 ) 1.347 * * [simplify]: iteration 2 : 1183 enodes (cost 182 ) 1.375 * * [simplify]: iteration 3 : 5002 enodes (cost 182 ) 1.378 * [simplify]: Simplified to: (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)) (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)) (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)) (log (cbrt (+ y x))) (exp (cbrt (+ y x))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (cbrt (+ y x))) (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x))) (cbrt 1) (cbrt (+ y x)) (cbrt 1) (cbrt (+ y x)) (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (- (* y y) (* x x))) (cbrt (- y x)) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (cbrt (cbrt (+ y x))) (+ y x) (sqrt (cbrt (+ y x))) (sqrt (cbrt (+ y x))) (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)) (- (+ (pow x 1/3) (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) y))) (* 1/9 (* (pow (/ 1 (pow x 5)) 1/3) (pow y 2)))) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.378 * * * [progress]: adding candidates to table 1.543 * * [progress]: iteration 4 / 4 1.543 * * * [progress]: picking best candidate 1.545 * * * * [pick]: Picked # 1.545 * * * [progress]: localizing error 1.551 * * * [progress]: generating rewritten candidates 1.551 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.564 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.572 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.583 * * * [progress]: generating series expansions 1.584 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.584 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.584 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.584 * [taylor]: Taking taylor expansion of x in y 1.584 * [taylor]: Taking taylor expansion of (+ x y) in y 1.584 * [taylor]: Taking taylor expansion of x in y 1.584 * [taylor]: Taking taylor expansion of y in y 1.584 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of (+ x y) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of y in x 1.584 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of (+ x y) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of y in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.584 * [taylor]: Taking taylor expansion of y in y 1.586 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.586 * [taylor]: Taking taylor expansion of y in y 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.590 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.598 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.598 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.598 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.598 * [taylor]: Taking taylor expansion of x in y 1.598 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.598 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.598 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.598 * [taylor]: Taking taylor expansion of x in y 1.599 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.599 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.599 * [taylor]: Taking taylor expansion of y in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.601 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.601 * [taylor]: Taking taylor expansion of y in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of 1 in y 1.605 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.605 * [taylor]: Taking taylor expansion of y in y 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.609 * [taylor]: Taking taylor expansion of y in y 1.613 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.613 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.613 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.614 * [taylor]: Taking taylor expansion of x in y 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.614 * [taylor]: Taking taylor expansion of x in y 1.614 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.614 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.615 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.615 * [taylor]: Taking taylor expansion of y in x 1.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.617 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.617 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.617 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.617 * [taylor]: Taking taylor expansion of y in x 1.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of 1 in y 1.621 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.621 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.625 * [taylor]: Taking taylor expansion of y in y 1.629 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.629 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 1.629 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 1.629 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.630 * [taylor]: Taking taylor expansion of x in y 1.630 * [taylor]: Taking taylor expansion of (+ x y) in y 1.630 * [taylor]: Taking taylor expansion of x in y 1.630 * [taylor]: Taking taylor expansion of y in y 1.630 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.630 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (+ x y) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of y in x 1.630 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.630 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (+ x y) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of y in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.630 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.630 * [taylor]: Taking taylor expansion of y in y 1.637 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 1.637 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.637 * [taylor]: Taking taylor expansion of 3 in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.637 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.650 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 1.650 * [taylor]: Taking taylor expansion of 6 in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.650 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.677 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.677 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.677 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.677 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.677 * [taylor]: Taking taylor expansion of x in y 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.677 * [taylor]: Taking taylor expansion of x in y 1.678 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.678 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.680 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of 1 in y 1.685 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.685 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.685 * [taylor]: Taking taylor expansion of 3 in y 1.685 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.685 * [taylor]: Taking taylor expansion of y in y 1.693 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.693 * [taylor]: Taking taylor expansion of 6 in y 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.693 * [taylor]: Taking taylor expansion of y in y 1.702 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.702 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.703 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.703 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.703 * [taylor]: Taking taylor expansion of x in y 1.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.703 * [taylor]: Taking taylor expansion of y in y 1.703 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.703 * [taylor]: Taking taylor expansion of x in y 1.704 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.704 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.704 * [taylor]: Taking taylor expansion of y in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.706 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.706 * [taylor]: Taking taylor expansion of y in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of 1 in y 1.711 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.711 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.711 * [taylor]: Taking taylor expansion of 3 in y 1.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.711 * [taylor]: Taking taylor expansion of y in y 1.717 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.717 * [taylor]: Taking taylor expansion of 6 in y 1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.727 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.727 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.727 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.727 * [taylor]: Taking taylor expansion of x in y 1.727 * [taylor]: Taking taylor expansion of (+ x y) in y 1.727 * [taylor]: Taking taylor expansion of x in y 1.727 * [taylor]: Taking taylor expansion of y in y 1.728 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of (+ x y) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of y in x 1.728 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of (+ x y) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of y in x 1.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.728 * [taylor]: Taking taylor expansion of y in y 1.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.729 * [taylor]: Taking taylor expansion of y in y 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.734 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.742 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.742 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.742 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.743 * [taylor]: Taking taylor expansion of x in y 1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.743 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.743 * [taylor]: Taking taylor expansion of y in y 1.743 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.743 * [taylor]: Taking taylor expansion of x in y 1.743 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.744 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.744 * [taylor]: Taking taylor expansion of y in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.746 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.746 * [taylor]: Taking taylor expansion of y in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of 1 in y 1.750 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.750 * [taylor]: Taking taylor expansion of y in y 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.761 * [taylor]: Taking taylor expansion of y in y 1.766 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.766 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.766 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.766 * [taylor]: Taking taylor expansion of x in y 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.766 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.766 * [taylor]: Taking taylor expansion of y in y 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.766 * [taylor]: Taking taylor expansion of x in y 1.767 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.767 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.767 * [taylor]: Taking taylor expansion of y in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.769 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.769 * [taylor]: Taking taylor expansion of y in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.771 * [taylor]: Taking taylor expansion of 1 in y 1.773 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.777 * [taylor]: Taking taylor expansion of y in y 1.782 * * * [progress]: simplifying candidates 1.784 * [simplify]: Simplifying using # : (log (cbrt (pow (/ x (+ y x)) 3))) (exp (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3)) (cbrt (pow (cbrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ x (cbrt (+ y x))) 3)) (cbrt (pow (/ 1 (sqrt (+ y x))) 3)) (cbrt (pow (/ x (sqrt (+ y x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow x 3)) (cbrt (pow (/ 1 (+ y x)) 3)) (cbrt (pow (/ x (+ (pow y 3) (pow x 3))) 3)) (cbrt (pow (+ (* y y) (- (* x x) (* y x))) 3)) (cbrt (pow (/ x (- (* y y) (* x x))) 3)) (cbrt (pow (- y x) 3)) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (cbrt (* (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) 3)))) (cbrt (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3)) (cbrt (pow (cbrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ x (cbrt (+ y x))) 3)) (cbrt (pow (/ 1 (sqrt (+ y x))) 3)) (cbrt (pow (/ x (sqrt (+ y x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow x 3)) (cbrt (pow (/ 1 (+ y x)) 3)) (cbrt (pow (/ x (+ (pow y 3) (pow x 3))) 3)) (cbrt (pow (+ (* y y) (- (* x x) (* y x))) 3)) (cbrt (pow (/ x (- (* y y) (* x x))) 3)) (cbrt (pow (- y x) 3)) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (sqrt (pow (/ x (+ y x)) 3))) (cbrt (sqrt (pow (/ x (+ y x)) 3))) (cbrt 1) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) (/ 3 2))) (cbrt (pow (/ x (+ y x)) (/ 3 2))) (cbrt (pow x 3)) (cbrt (pow (+ y x) 3)) (* (cbrt (cbrt (pow (/ x (+ y x)) 3))) (cbrt (cbrt (pow (/ x (+ y x)) 3)))) (cbrt (cbrt (pow (/ x (+ y x)) 3))) (* (* (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (/ x (+ y x)) 3))) (sqrt (cbrt (pow (/ x (+ y x)) 3))) (sqrt (cbrt (pow (/ x (+ y x)) 3))) (* (- (log x) (log (+ y x))) 3) (* (log (/ x (+ y x))) 3) (* (log (/ x (+ y x))) 3) (* 1 3) (pow (/ x (+ y x)) (* (cbrt 3) (cbrt 3))) (pow (/ x (+ y x)) (sqrt 3)) (pow (/ x (+ y x)) 1) (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3) (pow (cbrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (cbrt x) (cbrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3) (pow (/ (cbrt x) (sqrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (sqrt x) (cbrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ x (cbrt (+ y x))) 3) (pow (/ 1 (sqrt (+ y x))) 3) (pow (/ x (sqrt (+ y x))) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow 1 3) (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* y y) (- (* x x) (* y x))) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (* (/ x (+ y x)) (/ x (+ y x))) (log (pow (/ x (+ y x)) 3)) (exp (pow (/ x (+ y x)) 3)) (* (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (/ x (+ y x)) 3)) (* (* (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) 3)) (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3) (pow (cbrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (cbrt x) (cbrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3) (pow (/ (cbrt x) (sqrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (sqrt x) (cbrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ x (cbrt (+ y x))) 3) (pow (/ 1 (sqrt (+ y x))) 3) (pow (/ x (sqrt (+ y x))) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow 1 3) (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* y y) (- (* x x) (* y x))) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (pow x 3) (pow (+ y x) 3) (* (/ x (+ y x)) (/ x (+ y x))) (sqrt (pow (/ x (+ y x)) 3)) (sqrt (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) (/ 3 2)) (pow (/ x (+ y x)) (/ 3 2)) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0 0 0 0 0 0 1.793 * * [simplify]: iteration 0 : 387 enodes (cost 800 ) 1.804 * * [simplify]: iteration 1 : 1770 enodes (cost 725 ) 1.842 * * [simplify]: iteration 2 : 5002 enodes (cost 717 ) 1.848 * [simplify]: Simplified to: (log (/ x (+ y x))) (exp (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) x (/ 1 (+ y x)) (/ x (+ (pow y 3) (pow x 3))) (+ (* x (- x y)) (* y y)) (/ x (- (* y y) (* x x))) (- y x) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) x (/ 1 (+ y x)) (/ x (+ (pow y 3) (pow x 3))) (+ (* x (- x y)) (* y y)) (/ x (- (* y y) (* x x))) (- y x) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (sqrt (pow (/ x (+ y x)) 3))) (cbrt (sqrt (pow (/ x (+ y x)) 3))) 1 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(+ y x)) 3) 1 (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* x (- x y)) (* y y)) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (pow (/ x (+ y x)) 2) (log (pow (/ x (+ y x)) 3)) (exp (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) 2) (/ x (+ y x)) (pow (pow (/ x (+ y x)) 3) 3) (pow (/ x (+ y x)) 2) (/ x (+ y x)) (pow (/ x (+ y x)) 3/2) (pow (/ x (+ y x)) 3/2) (pow (/ x (+ y x)) 2) (/ x (+ y x)) (/ (* x x) (pow (sqrt (+ y x)) 3)) (pow (/ (cbrt x) (sqrt (+ y x))) 3) (* x x) (pow (/ (cbrt x) (+ y x)) 3) (* x x) (pow (/ (cbrt x) (+ y x)) 3) (/ (pow (sqrt x) 3) (* (+ y x) (+ y x))) (/ x (/ (+ y x) (sqrt x))) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (sqrt x) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (sqrt x) 3) (pow (/ (sqrt x) (+ y x)) 3) (/ 1 (* (+ y x) (+ y x))) (/ (pow x 3) (+ y x)) (pow (/ 1 (sqrt (+ y x))) 3) (pow (/ x (sqrt (+ y x))) 3) 1 (pow (/ x (+ y x)) 3) 1 (pow (/ x (+ y x)) 3) 1 (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* x (- x y)) (* y y)) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (pow x 3) (pow (+ y x) 3) (pow (/ x (+ y x)) 2) (sqrt (pow (/ x (+ y x)) 3)) (sqrt (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) 3/2) (pow (/ x (+ y x)) 3/2) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0 0 0 0 0 0 1.849 * * * [progress]: adding candidates to table 2.029 * [progress]: [Phase 3 of 3] Extracting. 2.029 * * [regime]: Finding splitpoints for: (# # # #) 2.029 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 2.029 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # # #) 2.044 * * * * [regimes]: Trying to branch on y from (# # # #) 2.065 * * * * [regimes]: Trying to branch on x from (# # # #) 2.081 * * * [regime]: Found split indices: #