20.305 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) 2.0) 0.038 * * [simplify]: iteration 0 : 20 enodes (cost 6 ) 0.039 * * [simplify]: iteration 1 : 34 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 52 enodes (cost 6 ) 0.041 * * [simplify]: iteration 3 : 73 enodes (cost 6 ) 0.043 * * [simplify]: iteration 4 : 123 enodes (cost 6 ) 0.045 * * [simplify]: iteration 5 : 172 enodes (cost 6 ) 0.047 * * [simplify]: iteration 6 : 224 enodes (cost 6 ) 0.049 * * [simplify]: iteration 7 : 261 enodes (cost 6 ) 0.052 * * [simplify]: iteration 8 : 323 enodes (cost 6 ) 0.054 * * [simplify]: iteration 9 : 411 enodes (cost 6 ) 0.058 * * [simplify]: iteration 10 : 532 enodes (cost 6 ) 0.061 * * [simplify]: iteration 11 : 612 enodes (cost 6 ) 0.065 * * [simplify]: iteration 12 : 654 enodes (cost 6 ) 0.069 * * [simplify]: iteration 13 : 697 enodes (cost 6 ) 0.074 * * [simplify]: iteration 14 : 922 enodes (cost 6 ) 0.079 * * [simplify]: iteration 15 : 980 enodes (cost 6 ) 0.085 * * [simplify]: iteration 16 : 1007 enodes (cost 6 ) 0.092 * * [simplify]: iteration 17 : 1027 enodes (cost 6 ) 0.098 * * [simplify]: iteration 18 : 1035 enodes (cost 6 ) 0.104 * * [simplify]: iteration 19 : 1035 enodes (cost 6 ) 0.104 * [simplify]: Simplified to: (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) 2.0) 0.105 * * [progress]: iteration 1 / 4 0.105 * * * [progress]: picking best candidate 0.108 * * * * [pick]: Picked # 0.108 * * * [progress]: localizing error 0.116 * * * [progress]: generating rewritten candidates 0.116 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.133 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.145 * * * [progress]: generating series expansions 0.145 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.145 * [approximate]: Approximating (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in (beta alpha) around 0 0.148 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in alpha 0.150 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in alpha 0.158 * [approximate]: Approximating (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in (beta alpha) around 0 0.170 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 0.172 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 0.180 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 0.186 * [approximate]: Approximating (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in (beta alpha) around 0 0.200 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 0.203 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 0.211 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 0.217 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.217 * [approximate]: Approximating (/ (- beta alpha) (+ alpha (+ 2.0 beta))) in (beta alpha) around 0 0.218 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ 2.0 beta))) in alpha 0.221 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ 2.0 beta))) in alpha 0.225 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ 2.0 beta))) in alpha 0.232 * [approximate]: Approximating (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))) in (beta alpha) around 0 0.238 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))) in alpha 0.239 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))) in alpha 0.245 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))) in alpha 0.251 * [approximate]: Approximating (/ (- (/ 1 alpha) (/ 1 beta)) (- 2.0 (+ (/ 1 alpha) (/ 1 beta)))) in (beta alpha) around 0 0.259 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (- 2.0 (+ (/ 1 alpha) (/ 1 beta)))) in alpha 0.260 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (- 2.0 (+ (/ 1 alpha) (/ 1 beta)))) in alpha 0.267 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (- 2.0 (+ (/ 1 alpha) (/ 1 beta)))) in alpha 0.273 * * * [progress]: simplifying candidates 0.274 * [simplify]: Simplifying using # : (* (exp (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (exp 1.0)) (log (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (exp (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (* (cbrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (cbrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0))) (cbrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (* (* (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (+ (pow (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3)) (+ (* (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (- (* 1.0 1.0) (* (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0))) (- (* (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (* 1.0 1.0)) (- (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (- (log (- beta alpha)) (log (+ (+ alpha beta) 2.0))) (log (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (exp (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) 2.0) (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0))) (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) 2.0)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (* (* (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (sqrt (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (sqrt (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (neg (- beta alpha)) (neg (+ (+ alpha beta) 2.0)) (/ beta (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)) (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) 2.0))) (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) 2.0))) (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt (- beta alpha)) 1) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (/ (sqrt (- beta alpha)) 1) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (/ (sqrt (- beta alpha)) 1) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (/ 1 (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (- beta alpha) (cbrt (+ (+ alpha beta) 2.0))) (/ 1 (sqrt (+ (+ alpha beta) 2.0))) (/ (- beta alpha) (sqrt (+ (+ alpha beta) 2.0))) (/ 1 1) (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ 1 1) (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ 1 1) (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) 2.0))) (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (+ (sqrt beta) (sqrt alpha)) 1) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) 2.0)) (/ (+ (sqrt beta) (sqrt alpha)) 1) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) 2.0)) (/ (+ (sqrt beta) (sqrt alpha)) 1) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) 2.0)) (/ 1 (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (- beta alpha) (cbrt (+ (+ alpha beta) 2.0))) (/ 1 (sqrt (+ (+ alpha beta) 2.0))) (/ (- beta alpha) (sqrt (+ (+ alpha beta) 2.0))) (/ 1 1) (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ 1 1) (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ 1 1) (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ 1 (+ (+ alpha beta) 2.0)) (/ (+ (+ alpha beta) 2.0) (- beta alpha)) (/ (- beta alpha) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (- beta alpha) (sqrt (+ (+ alpha beta) 2.0))) (/ (- beta alpha) 1) (/ (- beta alpha) 1) (/ (- beta alpha) 1) (/ (+ (+ alpha beta) 2.0) (cbrt (- beta alpha))) (/ (+ (+ alpha beta) 2.0) (sqrt (- beta alpha))) (/ (+ (+ alpha beta) 2.0) (- beta alpha)) (/ (+ (+ alpha beta) 2.0) (- (sqrt beta) (sqrt alpha))) (/ (+ (+ alpha beta) 2.0) (- beta alpha)) (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (* (+ (+ alpha beta) 2.0) (+ (* beta beta) (+ (* alpha alpha) (* beta alpha)))) (* (+ (+ alpha beta) 2.0) (+ beta alpha)) (- (+ (* 0.5 beta) 1.0) (* 0.5 alpha)) (- (+ (* 4.0 (/ 1 (pow beta 2))) 2.0) (* 2.0 (/ 1 beta))) (- (+ (* 4.0 (/ 1 (pow beta 2))) 2.0) (* 2.0 (/ 1 beta))) (- (* 0.5 beta) (+ (* 0.5 alpha) (* 0.25 (pow beta 2)))) (- (+ (* 4.0 (/ 1 (pow beta 2))) 1) (* 2.0 (/ 1 beta))) (- (+ (* 4.0 (/ 1 (pow beta 2))) 1) (* 2.0 (/ 1 beta))) 0.278 * * [simplify]: iteration 0 : 320 enodes (cost 535 ) 0.284 * * [simplify]: iteration 1 : 1022 enodes (cost 510 ) 0.304 * * [simplify]: iteration 2 : 5001 enodes (cost 502 ) 0.307 * [simplify]: Simplified to: (exp (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (log (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (exp (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (* (cbrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (cbrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0))) (cbrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (pow (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) 3) (sqrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (+ (pow (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3)) (+ (* (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (- (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)) (* 1.0 1.0)) (- (* (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (* 1.0 1.0)) (- (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (log (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (log (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (exp (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (pow (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 3) (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) 2.0)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (pow (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 3) (sqrt (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (sqrt (/ (- beta alpha) (+ (+ alpha beta) 2.0))) (neg (- beta alpha)) (neg (+ (+ alpha beta) 2.0)) (/ beta (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)) (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) 2.0))) (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) 2.0))) (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) 2.0))) (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) 2.0))) (sqrt (- beta alpha)) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (sqrt (- beta alpha)) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (sqrt (- beta alpha)) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) 2.0)) (/ 1 (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (- beta alpha) (cbrt (+ (+ alpha beta) 2.0))) (/ 1 (sqrt (+ (+ alpha beta) 2.0))) (/ (- beta alpha) (sqrt (+ (+ alpha beta) 2.0))) 1 (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1 (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1 (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) 2.0))) (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) 2.0))) (+ (sqrt beta) (sqrt alpha)) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) 2.0)) (+ (sqrt beta) (sqrt alpha)) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) 2.0)) (+ (sqrt beta) (sqrt alpha)) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) 2.0)) (/ 1 (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (- beta alpha) (cbrt (+ (+ alpha beta) 2.0))) (/ 1 (sqrt (+ (+ alpha beta) 2.0))) (/ (- beta alpha) (sqrt (+ (+ alpha beta) 2.0))) 1 (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1 (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1 (/ (- beta alpha) (+ (+ alpha beta) 2.0)) (/ 1 (+ (+ alpha beta) 2.0)) (/ (+ (+ alpha beta) 2.0) (- beta alpha)) (/ (- beta alpha) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (- beta alpha) (sqrt (+ (+ alpha beta) 2.0))) (- beta alpha) (- beta alpha) (- beta alpha) (/ (+ (+ alpha beta) 2.0) (cbrt (- beta alpha))) (/ (+ (+ alpha beta) 2.0) (sqrt (- beta alpha))) (/ (+ (+ alpha beta) 2.0) (- beta alpha)) (/ (+ (+ alpha beta) 2.0) (- (sqrt beta) (sqrt alpha))) (/ (+ (+ alpha beta) 2.0) (- beta alpha)) (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (* (+ (* alpha (+ alpha beta)) (pow beta 2)) (+ (+ alpha beta) 2.0)) (* (+ (+ alpha beta) 2.0) (+ beta alpha)) (+ 1.0 (* 0.5 (- beta alpha))) (- (+ (/ (/ 4.0 beta) beta) 2.0) (/ 2.0 beta)) (- (+ (/ (/ 4.0 beta) beta) 2.0) (/ 2.0 beta)) (- (* 0.5 beta) (+ (* 0.5 alpha) (* 0.25 (pow beta 2)))) (- 1 (- (/ 2.0 beta) (/ (/ 4.0 beta) beta))) (- 1 (- (/ 2.0 beta) (/ (/ 4.0 beta) beta))) 0.308 * * * [progress]: adding candidates to table 0.559 * * [progress]: iteration 2 / 4 0.559 * * * [progress]: picking best candidate 0.596 * * * * [pick]: Picked # 0.596 * * * [progress]: localizing error 0.605 * * * [progress]: generating rewritten candidates 0.605 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.618 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.644 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.653 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.664 * * * [progress]: generating series expansions 0.664 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.664 * [approximate]: Approximating (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in (alpha beta) around 0 0.666 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 0.667 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 0.670 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 0.673 * [approximate]: Approximating (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in (alpha beta) around 0 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 0.682 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 0.687 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 0.698 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 0.712 * [approximate]: Approximating (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in (alpha beta) around 0 0.720 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 0.722 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 0.732 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 0.744 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 0.756 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.756 * [approximate]: Approximating (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in (beta alpha) around 0 0.759 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in alpha 0.761 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in alpha 0.765 * [approximate]: Approximating (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in (beta alpha) around 0 0.777 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 0.779 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 0.786 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 0.793 * [approximate]: Approximating (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in (beta alpha) around 0 0.810 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 0.813 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 0.820 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 0.826 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.826 * [approximate]: Approximating (/ beta (+ alpha (+ 2.0 beta))) in (beta alpha) around 0 0.827 * [taylor]: Taking taylor expansion of (/ beta (+ alpha (+ 2.0 beta))) in alpha 0.829 * [taylor]: Taking taylor expansion of (/ beta (+ alpha (+ 2.0 beta))) in alpha 0.834 * [approximate]: Approximating (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) in (beta alpha) around 0 0.840 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) in alpha 0.843 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) in alpha 0.848 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) in alpha 0.855 * [approximate]: Approximating (/ -1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta)) in (beta alpha) around 0 0.864 * [taylor]: Taking taylor expansion of (/ -1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta)) in alpha 0.867 * [taylor]: Taking taylor expansion of (/ -1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta)) in alpha 0.872 * [taylor]: Taking taylor expansion of (/ -1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta)) in alpha 0.883 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.883 * [approximate]: Approximating (/ alpha (+ alpha (+ 2.0 beta))) in (alpha beta) around 0 0.884 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (+ 2.0 beta))) in beta 0.886 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (+ 2.0 beta))) in beta 0.891 * [approximate]: Approximating (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) in (alpha beta) around 0 0.897 * [taylor]: Taking taylor expansion of (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) in beta 0.899 * [taylor]: Taking taylor expansion of (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) in beta 0.904 * [taylor]: Taking taylor expansion of (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) in beta 0.912 * [approximate]: Approximating (/ -1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) in (alpha beta) around 0 0.920 * [taylor]: Taking taylor expansion of (/ -1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) in beta 0.923 * [taylor]: Taking taylor expansion of (/ -1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) in beta 0.929 * [taylor]: Taking taylor expansion of (/ -1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) in beta 0.937 * * * [progress]: simplifying candidates 0.939 * [simplify]: Simplifying using # : (/ (exp (/ alpha (+ (+ alpha beta) 2.0))) (exp 1.0)) (log (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* (* (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3)) (+ (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (+ (* 1.0 1.0) (* (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (neg 1.0) (- (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (* 1.0 1.0)) (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (+ (sqrt (/ alpha (+ (+ alpha 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(+ (+ alpha beta) 2.0)) (/ beta (+ (+ alpha beta) 2.0))) (+ (* (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))) (neg (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (* (/ beta (+ (+ alpha beta) 2.0)) (/ beta (+ (+ alpha beta) 2.0))) (* (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (+ (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (+ (sqrt (/ beta (+ (+ alpha beta) 2.0))) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (- (sqrt (/ beta (+ (+ alpha beta) 2.0))) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (+ (/ (sqrt beta) (sqrt (+ (+ alpha beta) 2.0))) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (- (/ (sqrt beta) (sqrt (+ (+ alpha beta) 2.0))) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (/ beta (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (- (/ beta (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (- (/ beta (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (neg (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (log beta) (log (+ (+ alpha beta) 2.0))) (log (/ beta (+ (+ alpha beta) 2.0))) (exp (/ beta (+ (+ alpha beta) 2.0))) (/ (* (* beta beta) beta) (* (* (+ (+ alpha beta) 2.0) (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0))) (* (cbrt (/ beta (+ (+ alpha beta) 2.0))) (cbrt (/ beta (+ (+ alpha beta) 2.0)))) (cbrt (/ beta (+ (+ alpha beta) 2.0))) (* (* (/ beta (+ (+ alpha beta) 2.0)) (/ beta (+ (+ alpha beta) 2.0))) (/ beta (+ (+ alpha beta) 2.0))) (sqrt (/ beta (+ (+ alpha beta) 2.0))) (sqrt (/ beta (+ (+ alpha beta) 2.0))) (neg beta) (neg (+ (+ alpha beta) 2.0)) (/ (* (cbrt beta) (cbrt beta)) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (cbrt beta) (cbrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt beta) (cbrt beta)) (sqrt (+ (+ alpha beta) 2.0))) (/ (cbrt beta) (sqrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt beta) (cbrt beta)) 1) (/ (cbrt beta) (+ (+ alpha beta) 2.0)) (/ (* (cbrt beta) (cbrt beta)) 1) (/ (cbrt beta) (+ (+ alpha beta) 2.0)) (/ (* (cbrt beta) (cbrt beta)) 1) (/ (cbrt beta) (+ (+ alpha beta) 2.0)) (/ (sqrt beta) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (sqrt beta) (cbrt (+ (+ alpha beta) 2.0))) (/ (sqrt beta) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt beta) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt beta) 1) (/ (sqrt beta) (+ (+ alpha beta) 2.0)) (/ (sqrt beta) 1) (/ (sqrt beta) (+ (+ alpha beta) 2.0)) (/ (sqrt beta) 1) (/ (sqrt beta) (+ (+ alpha beta) 2.0)) (/ 1 (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ beta (cbrt (+ (+ alpha beta) 2.0))) (/ 1 (sqrt (+ (+ alpha beta) 2.0))) (/ beta (sqrt (+ (+ alpha beta) 2.0))) (/ 1 1) (/ beta (+ (+ alpha beta) 2.0)) (/ 1 1) (/ beta (+ (+ alpha beta) 2.0)) (/ 1 1) (/ beta (+ (+ alpha beta) 2.0)) (/ 1 (+ (+ alpha beta) 2.0)) (/ (+ (+ alpha beta) 2.0) beta) (/ beta (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ beta (sqrt (+ (+ alpha beta) 2.0))) (/ beta 1) (/ beta 1) (/ beta 1) (/ (+ (+ alpha beta) 2.0) (cbrt beta)) (/ (+ (+ alpha beta) 2.0) (sqrt beta)) (/ (+ (+ alpha beta) 2.0) beta) (/ beta (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (/ beta (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (- (log alpha) (log (+ (+ alpha beta) 2.0))) (log (/ alpha (+ (+ alpha beta) 2.0))) (exp (/ alpha (+ (+ alpha beta) 2.0))) (/ (* (* alpha alpha) alpha) (* (* (+ (+ alpha beta) 2.0) (+ (+ alpha beta) 2.0)) (+ (+ alpha beta) 2.0))) (* (cbrt (/ alpha (+ (+ alpha beta) 2.0))) (cbrt (/ alpha (+ (+ alpha beta) 2.0)))) (cbrt (/ alpha (+ (+ alpha beta) 2.0))) (* (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (/ alpha (+ (+ alpha beta) 2.0))) (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (neg alpha) (neg (+ (+ alpha beta) 2.0)) (/ (* (cbrt alpha) (cbrt alpha)) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (cbrt alpha) (cbrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt alpha) (cbrt alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (cbrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt alpha) (cbrt alpha)) 1) (/ (cbrt alpha) (+ (+ alpha beta) 2.0)) (/ (* (cbrt alpha) (cbrt alpha)) 1) (/ (cbrt alpha) (+ (+ alpha beta) 2.0)) (/ (* (cbrt alpha) (cbrt alpha)) 1) (/ (cbrt alpha) (+ (+ alpha beta) 2.0)) (/ (sqrt alpha) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (sqrt alpha) (cbrt (+ (+ alpha beta) 2.0))) (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt alpha) 1) (/ (sqrt alpha) (+ (+ alpha beta) 2.0)) (/ (sqrt alpha) 1) (/ (sqrt alpha) (+ (+ alpha beta) 2.0)) (/ (sqrt alpha) 1) (/ (sqrt alpha) (+ (+ alpha beta) 2.0)) (/ 1 (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ alpha (cbrt (+ (+ alpha beta) 2.0))) (/ 1 (sqrt (+ (+ alpha beta) 2.0))) (/ alpha (sqrt (+ (+ alpha beta) 2.0))) (/ 1 1) (/ alpha (+ (+ alpha beta) 2.0)) (/ 1 1) (/ alpha (+ (+ alpha beta) 2.0)) (/ 1 1) (/ alpha (+ (+ alpha beta) 2.0)) (/ 1 (+ (+ alpha beta) 2.0)) (/ (+ (+ alpha beta) 2.0) alpha) (/ alpha (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ alpha (sqrt (+ (+ alpha beta) 2.0))) (/ alpha 1) (/ alpha 1) (/ alpha 1) (/ (+ (+ alpha beta) 2.0) (cbrt alpha)) (/ (+ (+ alpha beta) 2.0) (sqrt alpha)) (/ (+ (+ alpha beta) 2.0) alpha) (/ alpha (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (/ alpha (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) 1.0)) (- (* 4.0 (/ 1 (pow alpha 2))) (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3))))) (- (* 4.0 (/ 1 (pow alpha 2))) (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3))))) (- (+ (* 0.5 beta) 1.0) (* 0.5 alpha)) (- (+ (* 4.0 (/ 1 (pow beta 2))) 2.0) (* 2.0 (/ 1 beta))) (- (+ (* 4.0 (/ 1 (pow beta 2))) 2.0) (* 2.0 (/ 1 beta))) (- (* 0.5 beta) (+ (* 0.25 (* alpha beta)) (* 0.25 (pow beta 2)))) 0 0 (- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) (* 0.25 (* alpha beta)))) 0 0 0.946 * * [simplify]: iteration 0 : 450 enodes (cost 903 ) 0.953 * * [simplify]: iteration 1 : 1596 enodes (cost 871 ) 0.979 * * [simplify]: iteration 2 : 5002 enodes (cost 859 ) 0.987 * [simplify]: Simplified to: (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (log (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (pow (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) 3) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3)) (+ (* (/ alpha (+ (+ alpha beta) 2.0)) (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* 1.0 1.0)) (neg 1.0) (- (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (* 1.0 1.0)) (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (+ (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (+ (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (neg 1.0) (exp (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (exp (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (exp (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (* (cbrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (cbrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))) (cbrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (pow (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 3) (sqrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (sqrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (- (* beta (+ (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (+ (* 1.0 1.0) (* (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))) (* (+ (+ alpha beta) 2.0) (- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3)))) (* (+ (* 1.0 (+ 1.0 (/ alpha (+ (+ alpha beta) 2.0)))) (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)))) (+ (+ alpha beta) 2.0)) (* (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (- beta (* (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (+ (+ alpha beta) 2.0)))) (* (+ (+ alpha beta) 2.0) (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (pow (/ beta (+ (+ alpha beta) 2.0)) 3) (pow (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) 3)) (+ (* (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (+ (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (/ beta (+ (+ alpha beta) 2.0)))) (* (/ beta (+ (+ alpha beta) 2.0)) (/ beta (+ (+ alpha beta) 2.0)))) (neg (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (* (/ beta (+ (+ alpha beta) 2.0)) (/ beta (+ (+ alpha beta) 2.0))) (* (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (+ (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (+ (sqrt (/ beta (+ (+ alpha beta) 2.0))) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (- (sqrt (/ beta (+ (+ alpha beta) 2.0))) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (+ (/ (sqrt beta) (sqrt (+ (+ alpha beta) 2.0))) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (- (/ (sqrt beta) (sqrt (+ (+ alpha beta) 2.0))) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (/ beta (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (- (/ beta (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (- (/ beta (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (neg (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (log (/ beta (+ (+ alpha beta) 2.0))) (log (/ beta (+ (+ alpha beta) 2.0))) (exp (/ beta (+ (+ alpha beta) 2.0))) (pow (/ beta (+ (+ alpha beta) 2.0)) 3) (* (cbrt (/ beta (+ (+ alpha beta) 2.0))) (cbrt (/ beta (+ (+ alpha beta) 2.0)))) (cbrt (/ beta (+ (+ alpha beta) 2.0))) (pow (/ beta (+ (+ alpha beta) 2.0)) 3) (sqrt (/ beta (+ (+ alpha beta) 2.0))) (sqrt (/ beta (+ (+ alpha beta) 2.0))) (neg beta) (neg (+ (+ alpha beta) 2.0)) (/ (* (cbrt beta) (cbrt beta)) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (cbrt beta) (cbrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt beta) (cbrt beta)) (sqrt (+ (+ alpha beta) 2.0))) (/ (cbrt beta) (sqrt (+ (+ alpha beta) 2.0))) (* (cbrt beta) (cbrt beta)) (/ (cbrt beta) (+ (+ alpha beta) 2.0)) (* (cbrt beta) (cbrt beta)) (/ (cbrt beta) (+ (+ alpha beta) 2.0)) (* (cbrt beta) (cbrt beta)) (/ (cbrt beta) (+ (+ alpha beta) 2.0)) (/ (sqrt beta) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (sqrt beta) (cbrt (+ (+ alpha beta) 2.0))) (/ (sqrt beta) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt beta) (sqrt (+ (+ alpha beta) 2.0))) (sqrt beta) (/ (sqrt beta) (+ (+ alpha beta) 2.0)) (sqrt beta) (/ (sqrt beta) (+ (+ alpha beta) 2.0)) (sqrt beta) (/ (sqrt beta) (+ (+ alpha beta) 2.0)) (/ 1 (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ beta (cbrt (+ (+ alpha beta) 2.0))) (/ 1 (sqrt (+ (+ alpha beta) 2.0))) (/ beta (sqrt (+ (+ alpha beta) 2.0))) 1 (/ beta (+ (+ alpha beta) 2.0)) 1 (/ beta (+ (+ alpha beta) 2.0)) 1 (/ beta (+ (+ alpha beta) 2.0)) (/ 1 (+ (+ alpha beta) 2.0)) (/ (+ (+ alpha beta) 2.0) beta) (/ beta (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ beta (sqrt (+ (+ alpha beta) 2.0))) beta beta beta (/ (+ (+ alpha beta) 2.0) (cbrt beta)) (/ (+ (+ alpha beta) 2.0) (sqrt beta)) (/ (+ (+ alpha beta) 2.0) beta) (/ beta (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (/ beta (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (log (/ alpha (+ (+ alpha beta) 2.0))) (log (/ alpha (+ (+ alpha beta) 2.0))) (exp (/ alpha (+ (+ alpha beta) 2.0))) (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (* (cbrt (/ alpha (+ (+ alpha beta) 2.0))) (cbrt (/ alpha (+ (+ alpha beta) 2.0)))) (cbrt (/ alpha (+ (+ alpha beta) 2.0))) (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (neg alpha) (neg (+ (+ alpha beta) 2.0)) (/ (* (cbrt alpha) (cbrt alpha)) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (cbrt alpha) (cbrt (+ (+ alpha beta) 2.0))) (/ (* (cbrt alpha) (cbrt alpha)) (sqrt (+ (+ alpha beta) 2.0))) (/ (cbrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (* (cbrt alpha) (cbrt alpha)) (/ (cbrt alpha) (+ (+ alpha beta) 2.0)) (* (cbrt alpha) (cbrt alpha)) (/ (cbrt alpha) (+ (+ alpha beta) 2.0)) (* (cbrt alpha) (cbrt alpha)) (/ (cbrt alpha) (+ (+ alpha beta) 2.0)) (/ (sqrt alpha) (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ (sqrt alpha) (cbrt (+ (+ alpha beta) 2.0))) (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (sqrt alpha) (/ (sqrt alpha) (+ (+ alpha beta) 2.0)) (sqrt alpha) (/ (sqrt alpha) (+ (+ alpha beta) 2.0)) (sqrt alpha) (/ (sqrt alpha) (+ (+ alpha beta) 2.0)) (/ 1 (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ alpha (cbrt (+ (+ alpha beta) 2.0))) (/ 1 (sqrt (+ (+ alpha beta) 2.0))) (/ alpha (sqrt (+ (+ alpha beta) 2.0))) 1 (/ alpha (+ (+ alpha beta) 2.0)) 1 (/ alpha (+ (+ alpha beta) 2.0)) 1 (/ alpha (+ (+ alpha beta) 2.0)) (/ 1 (+ (+ alpha beta) 2.0)) (/ (+ (+ alpha beta) 2.0) alpha) (/ alpha (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (/ alpha (sqrt (+ (+ alpha beta) 2.0))) alpha alpha alpha (/ (+ (+ alpha beta) 2.0) (cbrt alpha)) (/ (+ (+ alpha beta) 2.0) (sqrt alpha)) (/ (+ (+ alpha beta) 2.0) alpha) (/ alpha (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (/ alpha (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) 1.0)) (+ (+ (/ (/ 4.0 alpha) alpha) (/ (neg 8.0) (pow alpha 3))) (* (/ 2.0 alpha) -1)) (+ (+ (/ (/ 4.0 alpha) alpha) (/ (neg 8.0) (pow alpha 3))) (* (/ 2.0 alpha) -1)) (- (+ (* 0.5 beta) 1.0) (* 0.5 alpha)) (+ (- 2.0 (* 2.0 (/ 1 beta))) (/ (/ 4.0 beta) beta)) (+ (- 2.0 (* 2.0 (/ 1 beta))) (/ (/ 4.0 beta) beta)) (* beta (- (- 0.5 (* 0.25 alpha)) (* beta 0.25))) 0 0 (- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) (* 0.25 (* alpha beta)))) 0 0 0.988 * * * [progress]: adding candidates to table 1.757 * * [progress]: iteration 3 / 4 1.757 * * * [progress]: picking best candidate 1.791 * * * * [pick]: Picked # 1.791 * * * [progress]: localizing error 1.808 * * * [progress]: generating rewritten candidates 1.808 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.821 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 1.826 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) 1.831 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1) 1.838 * * * [progress]: generating series expansions 1.838 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.838 * [approximate]: Approximating (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in (alpha beta) around 0 1.840 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 1.841 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 1.843 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 1.846 * [approximate]: Approximating (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in (alpha beta) around 0 1.853 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 1.859 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 1.864 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 1.875 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 1.889 * [approximate]: Approximating (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in (alpha beta) around 0 1.897 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 1.900 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 1.906 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 1.918 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 1.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.930 * [approximate]: Approximating (pow (+ alpha (+ 2.0 beta)) 1/3) in (alpha beta) around 0 1.931 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ 2.0 beta)) 1/3) in beta 1.941 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ 2.0 beta)) 1/3) in beta 1.959 * [approximate]: Approximating (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in (alpha beta) around 0 1.963 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 1.965 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 1.975 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 1.989 * [approximate]: Approximating (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in (alpha beta) around 0 1.999 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.003 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.028 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.051 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2) 2.051 * [approximate]: Approximating (pow (+ alpha (+ 2.0 beta)) 1/3) in (alpha beta) around 0 2.052 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ 2.0 beta)) 1/3) in beta 2.057 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ 2.0 beta)) 1/3) in beta 2.075 * [approximate]: Approximating (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in (alpha beta) around 0 2.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 2.081 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 2.091 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 2.112 * [approximate]: Approximating (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in (alpha beta) around 0 2.121 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.126 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.144 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.168 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1) 2.168 * [approximate]: Approximating (pow (+ alpha (+ 2.0 beta)) 1/3) in (alpha beta) around 0 2.169 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ 2.0 beta)) 1/3) in beta 2.179 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ 2.0 beta)) 1/3) in beta 2.197 * [approximate]: Approximating (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in (alpha beta) around 0 2.202 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 2.204 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 2.214 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) 1/3) in beta 2.228 * [approximate]: Approximating (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in (alpha beta) around 0 2.238 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.242 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.266 * [taylor]: Taking taylor expansion of (pow (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) 1/3) in beta 2.289 * * * [progress]: simplifying candidates 2.290 * [simplify]: Simplifying using # : (/ (exp (/ alpha (+ (+ alpha beta) 2.0))) (exp 1.0)) (log (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* (* (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3)) (+ (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (+ (* 1.0 1.0) (* (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (neg 1.0) (- (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (* 1.0 1.0)) (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (+ (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (+ (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (neg 1.0) (log (cbrt (+ (+ alpha beta) 2.0))) (exp (cbrt (+ (+ alpha beta) 2.0))) (cbrt (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (cbrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))) (cbrt (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (cbrt (- (+ alpha beta) 2.0)) (* (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (* (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0))) (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (log (cbrt (+ (+ alpha beta) 2.0))) (exp (cbrt (+ (+ alpha beta) 2.0))) (cbrt (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (cbrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))) (cbrt (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (cbrt (- (+ alpha beta) 2.0)) (* (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (* (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0))) (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (log (cbrt (+ (+ alpha beta) 2.0))) (exp (cbrt (+ (+ alpha beta) 2.0))) (cbrt (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt 1) (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (cbrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))) (cbrt (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (cbrt (- (+ alpha beta) 2.0)) (* (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (* (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0))) (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) 1.0)) (- (* 4.0 (/ 1 (pow alpha 2))) (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3))))) (- (* 4.0 (/ 1 (pow alpha 2))) (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3))))) (+ (* 0.16666666666666666 (* (pow 2.0 1/3) beta)) (+ (* 1/3 (* alpha (pow 0.25 1/3))) (pow 2.0 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 (pow alpha 2)) 1/3)) (pow (/ 1 alpha) -1/3)) (* 0.4444444444444444 (pow (/ 1 (pow alpha 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) alpha))) (* 0.4444444444444444 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (pow alpha 2)))) (+ (* 0.16666666666666666 (* (pow 2.0 1/3) beta)) (+ (* 1/3 (* alpha (pow 0.25 1/3))) (pow 2.0 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 (pow alpha 2)) 1/3)) (pow (/ 1 alpha) -1/3)) (* 0.4444444444444444 (pow (/ 1 (pow alpha 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) alpha))) (* 0.4444444444444444 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (pow alpha 2)))) (+ (* 0.16666666666666666 (* (pow 2.0 1/3) beta)) (+ (* 1/3 (* alpha (pow 0.25 1/3))) (pow 2.0 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 (pow alpha 2)) 1/3)) (pow (/ 1 alpha) -1/3)) (* 0.4444444444444444 (pow (/ 1 (pow alpha 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) alpha))) (* 0.4444444444444444 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (pow alpha 2)))) 2.295 * * [simplify]: iteration 0 : 278 enodes (cost 567 ) 2.299 * * [simplify]: iteration 1 : 708 enodes (cost 537 ) 2.311 * * [simplify]: iteration 2 : 2658 enodes (cost 521 ) 2.352 * * [simplify]: iteration 3 : 5001 enodes (cost 512 ) 2.355 * [simplify]: Simplified to: (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (log (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (cbrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (pow (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) 3) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (sqrt (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3)) (+ (* (/ alpha (+ (+ alpha beta) 2.0)) (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) (* 1.0 1.0)) (neg 1.0) (- (* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0))) (* 1.0 1.0)) (+ (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (+ (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (sqrt (/ alpha (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (+ (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (/ (sqrt alpha) (sqrt (+ (+ alpha beta) 2.0))) (sqrt 1.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0) (neg 1.0) (log (cbrt (+ (+ alpha beta) 2.0))) (exp (cbrt (+ (+ alpha beta) 2.0))) (cbrt (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) 1 (cbrt (+ (+ alpha beta) 2.0)) 1 (cbrt (+ (+ alpha beta) 2.0)) 1 (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (cbrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))) (cbrt (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (cbrt (- (+ alpha beta) 2.0)) (* (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (+ (+ alpha beta) 2.0) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (log (cbrt (+ (+ alpha beta) 2.0))) (exp (cbrt (+ (+ alpha beta) 2.0))) (cbrt (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) 1 (cbrt (+ (+ alpha beta) 2.0)) 1 (cbrt (+ (+ alpha beta) 2.0)) 1 (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (cbrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))) (cbrt (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (cbrt (- (+ alpha beta) 2.0)) (* (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (+ (+ alpha beta) 2.0) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (log (cbrt (+ (+ alpha beta) 2.0))) (exp (cbrt (+ (+ alpha beta) 2.0))) (cbrt (* (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) (cbrt (sqrt (+ (+ alpha beta) 2.0))) 1 (cbrt (+ (+ alpha beta) 2.0)) 1 (cbrt (+ (+ alpha beta) 2.0)) 1 (cbrt (+ (+ alpha beta) 2.0)) (cbrt (+ (pow (+ alpha beta) 3) (pow 2.0 3))) (cbrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* 2.0 2.0) (* (+ alpha beta) 2.0)))) (cbrt (- (* (+ alpha beta) (+ alpha beta)) (* 2.0 2.0))) (cbrt (- (+ alpha beta) 2.0)) (* (cbrt (cbrt (+ (+ alpha beta) 2.0))) (cbrt (cbrt (+ (+ alpha beta) 2.0)))) (cbrt (cbrt (+ (+ alpha beta) 2.0))) (+ (+ alpha beta) 2.0) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (sqrt (cbrt (+ (+ alpha beta) 2.0))) (- (* 0.5 alpha) (+ (* 0.25 (pow alpha 2)) 1.0)) (+ (* (/ 1 (pow alpha 2)) (- 4.0 (/ 8.0 alpha))) (/ (neg 2.0) alpha)) (+ (* (/ 1 (pow alpha 2)) (- 4.0 (/ 8.0 alpha))) (/ (neg 2.0) alpha)) (+ (* 1/3 (* alpha (pow 0.25 1/3))) (* (+ (* 0.16666666666666666 beta) 1) (pow 2.0 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 (pow alpha 2)) 1/3)) (pow (/ 1 alpha) -1/3)) (* 0.4444444444444444 (pow (/ 1 (pow alpha 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) alpha))) (* 0.4444444444444444 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (pow alpha 2)))) (+ (* 1/3 (* alpha (pow 0.25 1/3))) (* (+ (* 0.16666666666666666 beta) 1) (pow 2.0 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 (pow alpha 2)) 1/3)) (pow (/ 1 alpha) -1/3)) (* 0.4444444444444444 (pow (/ 1 (pow alpha 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) alpha))) (* 0.4444444444444444 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (pow alpha 2)))) (+ (* 1/3 (* alpha (pow 0.25 1/3))) (* (+ (* 0.16666666666666666 beta) 1) (pow 2.0 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 (pow alpha 2)) 1/3)) (pow (/ 1 alpha) -1/3)) (* 0.4444444444444444 (pow (/ 1 (pow alpha 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) alpha))) (* 0.4444444444444444 (/ (exp (* 1/3 (- (log -1) (log (/ -1 alpha))))) (pow alpha 2)))) 2.356 * * * [progress]: adding candidates to table 2.846 * * [progress]: iteration 4 / 4 2.846 * * * [progress]: picking best candidate 2.885 * * * * [pick]: Picked # 2.885 * * * [progress]: localizing error 2.902 * * * [progress]: generating rewritten candidates 2.902 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.927 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 2.941 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.966 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.998 * * * [progress]: generating series expansions 2.998 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.998 * [approximate]: Approximating (log (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta))))) in (beta alpha) around 0 3.001 * [taylor]: Taking taylor expansion of (log (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta))))) in alpha 3.005 * [taylor]: Taking taylor expansion of (log (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta))))) in alpha 3.017 * [approximate]: Approximating (log (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))))) in (beta alpha) around 0 3.033 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))))) in alpha 3.037 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))))) in alpha 3.048 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))))) in alpha 3.083 * [approximate]: Approximating (log (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta)))) in (beta alpha) around 0 3.102 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta)))) in alpha 3.106 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta)))) in alpha 3.116 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta)))) in alpha 3.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 3.150 * [approximate]: Approximating (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in (alpha beta) around 0 3.152 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 3.153 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 3.155 * [taylor]: Taking taylor expansion of (- (/ alpha (+ alpha (+ 2.0 beta))) 1.0) in beta 3.158 * [approximate]: Approximating (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in (alpha beta) around 0 3.165 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 3.167 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 3.173 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 3.183 * [taylor]: Taking taylor expansion of (- (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)))) 1.0) in beta 3.197 * [approximate]: Approximating (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in (alpha beta) around 0 3.205 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 3.213 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 3.218 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 3.230 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) in beta 3.242 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.243 * [approximate]: Approximating (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in (beta alpha) around 0 3.245 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in alpha 3.247 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in alpha 3.252 * [approximate]: Approximating (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in (beta alpha) around 0 3.263 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 3.266 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 3.273 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 3.279 * [approximate]: Approximating (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in (beta alpha) around 0 3.299 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 3.301 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 3.309 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 3.315 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.315 * [approximate]: Approximating (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in (beta alpha) around 0 3.318 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in alpha 3.320 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ beta (+ alpha (+ 2.0 beta)))) (/ alpha (+ alpha (+ 2.0 beta)))) in alpha 3.324 * [approximate]: Approximating (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in (beta alpha) around 0 3.336 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 3.338 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 3.345 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (+ (/ 1 alpha) (+ (/ 1 beta) 2.0)) beta)) 1.0) (/ 1 (* alpha (+ (/ 1 alpha) (+ (/ 1 beta) 2.0))))) in alpha 3.351 * [approximate]: Approximating (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in (beta alpha) around 0 3.370 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 3.373 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 3.380 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* alpha (- 2.0 (+ (/ 1 alpha) (/ 1 beta))))) 1.0) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (/ 1 beta))) beta))) in alpha 3.386 * * * [progress]: simplifying candidates 3.388 * [simplify]: Simplifying using # : (log (* (cbrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))) (cbrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))) (log (cbrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))) (log (sqrt (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))) (log (sqrt (- (/ beta (+ (+ alpha 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(* 0.5 (- beta alpha))) (+ 2.0 (* (/ 1 beta) (- (/ 4.0 beta) 2.0))) (+ 2.0 (* (/ 1 beta) (- (/ 4.0 beta) 2.0))) 3.499 * * * [progress]: adding candidates to table 4.007 * [progress]: [Phase 3 of 3] Extracting. 4.007 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 4.013 * * * [regime-changes]: Trying 2 branch expressions: (beta alpha) 4.013 * * * * [regimes]: Trying to branch on beta from (# # # # # # # # # # # #) 4.132 * * * * [regimes]: Trying to branch on alpha from (# # # # # # # # # # # #) 4.231 * * * [regime]: Found split indices: #