28.937 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ (+ x y) (+ y y)) 0.015 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.018 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.019 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.040 * [taylor]: Taking taylor expansion of 1/2 in y 0.040 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.040 * [taylor]: Taking taylor expansion of (+ x y) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.040 * [taylor]: Taking taylor expansion of 1/2 in x 0.040 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.040 * [taylor]: Taking taylor expansion of (+ x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.040 * [taylor]: Taking taylor expansion of 1/2 in x 0.040 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.040 * [taylor]: Taking taylor expansion of (+ x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1/2 in y 0.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of 1/2 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 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.048 * [taylor]: Taking taylor expansion of 1/2 in y 0.048 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) 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 y in y 0.048 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.048 * [taylor]: Taking taylor expansion of 1/2 in x 0.048 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) 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 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.049 * [taylor]: Taking taylor expansion of 1/2 in x 0.049 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.050 * [taylor]: Taking taylor expansion of 1/2 in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 1/2 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.059 * [taylor]: Taking taylor expansion of 1/2 in y 0.059 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.059 * [taylor]: Taking taylor expansion of 1/2 in x 0.059 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.060 * [taylor]: Taking taylor expansion of 1/2 in x 0.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.060 * [taylor]: Taking taylor expansion of 1/2 in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * * * [progress]: simplifying candidates 0.071 * [simplify]: Simplifying using # : (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.076 * * [simplify]: iteration 0 : 225 enodes (cost 519 ) 0.081 * * [simplify]: iteration 1 : 735 enodes (cost 476 ) 0.096 * * [simplify]: iteration 2 : 3027 enodes (cost 476 ) 0.179 * * [simplify]: iteration 3 : 5001 enodes (cost 476 ) 0.183 * [simplify]: Simplified to: (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (/ (cbrt (+ x y)) 2) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (/ (cbrt (+ x y)) (cbrt y)) (* 2 (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (/ (cbrt (+ x y)) 2) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (/ (sqrt (+ x y)) 2) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (/ (sqrt (+ x y)) (cbrt y)) (* 2 (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (/ (sqrt (+ x y)) 2) (sqrt y)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (/ (+ x y) 2) (pow y 3)) (/ (+ x y) 0) (* (+ (* y (- y x)) (* x x)) (+ y y)) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.183 * * * [progress]: adding candidates to table 0.285 * * [progress]: iteration 2 / 4 0.285 * * * [progress]: picking best candidate 0.288 * * * * [pick]: Picked # 0.288 * * * [progress]: localizing error 0.292 * * * [progress]: generating rewritten candidates 0.292 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.299 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.308 * * * [progress]: generating series expansions 0.308 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.308 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.308 * [taylor]: Taking taylor expansion of 1/2 in y 0.308 * [taylor]: Taking taylor expansion of (/ x y) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.308 * [taylor]: Taking taylor expansion of 1/2 in x 0.308 * [taylor]: Taking taylor expansion of (/ x y) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.308 * [taylor]: Taking taylor expansion of 1/2 in x 0.308 * [taylor]: Taking taylor expansion of (/ x y) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.308 * [taylor]: Taking taylor expansion of 1/2 in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.313 * [taylor]: Taking taylor expansion of 1/2 in y 0.313 * [taylor]: Taking taylor expansion of (/ y x) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [taylor]: Taking taylor expansion of (/ y x) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [taylor]: Taking taylor expansion of (/ y x) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.313 * [taylor]: Taking taylor expansion of 1/2 in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.319 * [taylor]: Taking taylor expansion of 1/2 in y 0.319 * [taylor]: Taking taylor expansion of (/ y x) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.319 * [taylor]: Taking taylor expansion of 1/2 in x 0.319 * [taylor]: Taking taylor expansion of (/ y x) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.319 * [taylor]: Taking taylor expansion of 1/2 in x 0.319 * [taylor]: Taking taylor expansion of (/ y x) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.319 * [taylor]: Taking taylor expansion of 1/2 in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.325 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) 1/2) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) 1/2) in y 0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.325 * [taylor]: Taking taylor expansion of 1/2 in y 0.325 * [taylor]: Taking taylor expansion of (/ x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1/2 in y 0.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) 1/2) in x 0.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.326 * [taylor]: Taking taylor expansion of 1/2 in x 0.326 * [taylor]: Taking taylor expansion of (/ x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of 1/2 in x 0.326 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) 1/2) in x 0.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.326 * [taylor]: Taking taylor expansion of 1/2 in x 0.326 * [taylor]: Taking taylor expansion of (/ x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of 1/2 in x 0.326 * [taylor]: Taking taylor expansion of 1/2 in y 0.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of 1/2 in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in y 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.331 * [taylor]: Taking taylor expansion of 1/2 in y 0.331 * [taylor]: Taking taylor expansion of (/ y x) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of 1/2 in y 0.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in x 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (/ y x) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in x 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (/ y x) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.332 * [taylor]: Taking taylor expansion of 1/2 in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 1/2 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in y 0.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.338 * [taylor]: Taking taylor expansion of 1/2 in y 0.338 * [taylor]: Taking taylor expansion of (/ y x) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of 1/2 in y 0.338 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in x 0.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.338 * [taylor]: Taking taylor expansion of 1/2 in x 0.338 * [taylor]: Taking taylor expansion of (/ y x) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1/2 in x 0.338 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in x 0.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.338 * [taylor]: Taking taylor expansion of 1/2 in x 0.338 * [taylor]: Taking taylor expansion of (/ y x) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1/2 in x 0.339 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.339 * [taylor]: Taking taylor expansion of 1/2 in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 1/2 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * * * [progress]: simplifying candidates 0.346 * [simplify]: Simplifying using # : (* 1/2 (/ x y)) (+ (log 1/2) (- (log x) (log y))) (+ (log 1/2) (log (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (* (* (* 1/2 1/2) 1/2) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 1/2 1/2) 1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) 1)) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (/ (sqrt x) 1)) (* 1/2 (/ 1 (* (cbrt y) (cbrt y)))) (* 1/2 (/ 1 (sqrt y))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* (exp (* 1/2 (/ x y))) (exp 1/2)) (log (+ (* 1/2 (/ x y)) 1/2)) (exp (+ (* 1/2 (/ x y)) 1/2)) (* (cbrt (+ (* 1/2 (/ x y)) 1/2)) (cbrt (+ (* 1/2 (/ x y)) 1/2))) (cbrt (+ (* 1/2 (/ x y)) 1/2)) (* (* (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2)) (+ (* 1/2 (/ x y)) 1/2)) (sqrt (+ (* 1/2 (/ x y)) 1/2)) (sqrt (+ (* 1/2 (/ x y)) 1/2)) (+ (pow (* 1/2 (/ x y)) 3) (pow 1/2 3)) (+ (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (- (* 1/2 1/2) (* (* 1/2 (/ x y)) 1/2))) (- (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 1/2)) (- (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.351 * * [simplify]: iteration 0 : 219 enodes (cost 199 ) 0.356 * * [simplify]: iteration 1 : 999 enodes (cost 186 ) 0.377 * * [simplify]: iteration 2 : 4355 enodes (cost 183 ) 0.446 * * [simplify]: iteration 3 : 5002 enodes (cost 183 ) 0.447 * [simplify]: Simplified to: (* 1/2 (/ x y)) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (pow (* 1/2 (/ x y)) 3) (pow (* 1/2 (/ x y)) 3) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (pow (* 1/2 (/ x y)) 3) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (* (cbrt x) (cbrt x)) 1/2) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* (sqrt x) 1/2) (/ 1/2 (* (cbrt y) (cbrt y))) (/ 1/2 (sqrt y)) 1/2 1/2 (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (exp (+ (* 1/2 (/ x y)) 1/2)) (log (+ (* 1/2 (/ x y)) 1/2)) (exp (+ (* 1/2 (/ x y)) 1/2)) (* (cbrt (+ (* 1/2 (/ x y)) 1/2)) (cbrt (+ (* 1/2 (/ x y)) 1/2))) (cbrt (+ (* 1/2 (/ x y)) 1/2)) (pow (+ (* 1/2 (/ x y)) 1/2) 3) (sqrt (+ (* 1/2 (/ x y)) 1/2)) (sqrt (+ (* 1/2 (/ x y)) 1/2)) (+ (pow (* 1/2 (/ x y)) 3) 1/8) (+ 1/4 (- (* (* 1/4 (/ x y)) (- 1 (/ x y))))) (* 1/4 (- (* (/ x y) (/ x y)) 1)) (- (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.448 * * * [progress]: adding candidates to table 0.524 * * [progress]: iteration 3 / 4 0.524 * * * [progress]: picking best candidate 0.526 * * * * [pick]: Picked # 0.526 * * * [progress]: localizing error 0.536 * * * [progress]: generating rewritten candidates 0.536 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.585 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.588 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.632 * * * [progress]: generating series expansions 0.632 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.632 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.632 * [taylor]: Taking taylor expansion of 1/2 in y 0.632 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.632 * [taylor]: Taking taylor expansion of (+ x y) in y 0.632 * [taylor]: Taking taylor expansion of x in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.632 * [taylor]: Taking taylor expansion of 1/2 in x 0.632 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.632 * [taylor]: Taking taylor expansion of (+ x y) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.632 * [taylor]: Taking taylor expansion of 1/2 in x 0.632 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.632 * [taylor]: Taking taylor expansion of (+ x y) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.633 * [taylor]: Taking taylor expansion of 1/2 in y 0.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.634 * [taylor]: Taking taylor expansion of 1/2 in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.647 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.647 * [taylor]: Taking taylor expansion of 1/2 in y 0.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.647 * [taylor]: Taking taylor expansion of x in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.647 * [taylor]: Taking taylor expansion of 1/2 in x 0.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.647 * [taylor]: Taking taylor expansion of 1/2 in x 0.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.648 * [taylor]: Taking taylor expansion of 1/2 in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 1/2 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.658 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.658 * [taylor]: Taking taylor expansion of 1/2 in y 0.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.658 * [taylor]: Taking taylor expansion of 1/2 in x 0.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.659 * [taylor]: Taking taylor expansion of 1/2 in x 0.659 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.659 * [taylor]: Taking taylor expansion of 1/2 in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 1/2 in y 0.662 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.668 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.668 * [approximate]: Taking taylor expansion of 0 in (y) around 0 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [approximate]: Taking taylor expansion of 0 in (y) around 0 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [approximate]: Taking taylor expansion of 0 in (y) around 0 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.669 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.669 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) (pow y 3))) in (x y) around 0 0.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) (pow y 3))) in y 0.669 * [taylor]: Taking taylor expansion of 1/2 in y 0.669 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow y 3)) in y 0.669 * [taylor]: Taking taylor expansion of (+ x y) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) (pow y 3))) in x 0.670 * [taylor]: Taking taylor expansion of 1/2 in x 0.670 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow y 3)) in x 0.670 * [taylor]: Taking taylor expansion of (+ x y) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) (pow y 3))) in x 0.670 * [taylor]: Taking taylor expansion of 1/2 in x 0.670 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow y 3)) in x 0.670 * [taylor]: Taking taylor expansion of (+ x y) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.671 * [taylor]: Taking taylor expansion of 1/2 in y 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.672 * [taylor]: Taking taylor expansion of 1/2 in y 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.672 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) (pow y 3))) in (x y) around 0 0.689 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) (pow y 3))) in y 0.689 * [taylor]: Taking taylor expansion of 1/2 in y 0.689 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (pow y 3)) in y 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) (pow y 3))) in x 0.689 * [taylor]: Taking taylor expansion of 1/2 in x 0.689 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (pow y 3)) in x 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) (pow y 3))) in x 0.690 * [taylor]: Taking taylor expansion of 1/2 in x 0.690 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (pow y 3)) in x 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 3)) in y 0.691 * [taylor]: Taking taylor expansion of 1/2 in y 0.691 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of 1/2 in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) (pow y 3))) in (x y) around 0 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) (pow y 3))) in y 0.701 * [taylor]: Taking taylor expansion of 1/2 in y 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (pow y 3)) in y 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.702 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) (pow y 3))) in x 0.702 * [taylor]: Taking taylor expansion of 1/2 in x 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (pow y 3)) in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) (pow y 3))) in x 0.702 * [taylor]: Taking taylor expansion of 1/2 in x 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (pow y 3)) in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 3)) in y 0.703 * [taylor]: Taking taylor expansion of 1/2 in y 0.703 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of 1/2 in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.714 * * * [progress]: simplifying candidates 0.722 * [simplify]: Simplifying using # : (* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y)))) (+ (- (- (log (+ x y)) (log 2)) (* (log y) 3)) (log (+ (* y y) (- (* y y) (* y 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y)) (sqrt 2))) (/ (pow y 3) (/ (cbrt (+ x y)) 2)) (/ (pow y 3) (/ (sqrt (+ x y)) (cbrt 2))) (/ (pow y 3) (/ (sqrt (+ x y)) (sqrt 2))) (/ (pow y 3) (/ (sqrt (+ x y)) 2)) (/ (pow y 3) (/ (+ x y) (cbrt 2))) (/ (pow y 3) (/ (+ x y) (sqrt 2))) (/ (pow y 3) (/ (+ x y) 2)) (/ (pow y 3) (/ (+ x y) (cbrt 2))) (/ (pow y 3) (/ (+ x y) (sqrt 2))) (/ (pow y 3) (/ (+ x y) 2)) (/ (pow y 3) (/ (+ x y) 2)) (/ (pow y 3) 1/2) (/ (pow y 3) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0 0 0 (* 1/2 (+ (/ x (pow y 3)) (/ 1 (pow y 2)))) (* 1/2 (+ (/ x (pow y 3)) (/ 1 (pow y 2)))) (* 1/2 (+ (/ x (pow y 3)) (/ 1 (pow y 2)))) 0.807 * * * [progress]: adding candidates to table 1.642 * [progress]: [Phase 3 of 3] Extracting. 1.642 * * [regime]: Finding splitpoints for: (# #) 1.643 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.643 * * * * [regimes]: Trying to branch on y from (# #) 1.656 * * * * [regimes]: Trying to branch on x from (# #) 1.667 * * * [regime]: Found split indices: #