12.275 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (/ (exp a) (+ (exp a) (exp b))) 0.038 * * [simplify]: iteration 0 : 7 enodes (cost 5 ) 0.039 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.040 * [simplify]: Simplified to: (/ (exp a) (+ (exp a) (exp b))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.055 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.055 * [approximate]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in (a b) around 0 0.055 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in b 0.055 * [taylor]: Taking taylor expansion of (exp a) in b 0.055 * [taylor]: Taking taylor expansion of a in b 0.055 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.055 * [taylor]: Taking taylor expansion of (exp b) in b 0.055 * [taylor]: Taking taylor expansion of b in b 0.055 * [taylor]: Taking taylor expansion of (exp a) in b 0.055 * [taylor]: Taking taylor expansion of a in b 0.055 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in a 0.055 * [taylor]: Taking taylor expansion of (exp a) in a 0.056 * [taylor]: Taking taylor expansion of a in a 0.056 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.056 * [taylor]: Taking taylor expansion of (exp b) in a 0.056 * [taylor]: Taking taylor expansion of b in a 0.056 * [taylor]: Taking taylor expansion of (exp a) in a 0.056 * [taylor]: Taking taylor expansion of a in a 0.056 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in a 0.056 * [taylor]: Taking taylor expansion of (exp a) in a 0.056 * [taylor]: Taking taylor expansion of a in a 0.056 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.056 * [taylor]: Taking taylor expansion of (exp b) in a 0.056 * [taylor]: Taking taylor expansion of b in a 0.056 * [taylor]: Taking taylor expansion of (exp a) in a 0.056 * [taylor]: Taking taylor expansion of a in a 0.056 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.056 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.056 * [taylor]: Taking taylor expansion of (exp b) in b 0.056 * [taylor]: Taking taylor expansion of b in b 0.056 * [taylor]: Taking taylor expansion of 1 in b 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (+ (exp b) 1)) (/ 1 (pow (+ (exp b) 1) 2))) in b 0.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.059 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.059 * [taylor]: Taking taylor expansion of (exp b) in b 0.059 * [taylor]: Taking taylor expansion of b in b 0.059 * [taylor]: Taking taylor expansion of 1 in b 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp b) 1) 2)) in b 0.060 * [taylor]: Taking taylor expansion of (pow (+ (exp b) 1) 2) in b 0.060 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.060 * [taylor]: Taking taylor expansion of (exp b) in b 0.060 * [taylor]: Taking taylor expansion of b in b 0.060 * [taylor]: Taking taylor expansion of 1 in b 0.063 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in (a b) around 0 0.063 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.063 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.063 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.063 * [taylor]: Taking taylor expansion of a in b 0.063 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.063 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.063 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.063 * [taylor]: Taking taylor expansion of b in b 0.063 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.063 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.063 * [taylor]: Taking taylor expansion of a in b 0.063 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.063 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.063 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.063 * [taylor]: Taking taylor expansion of a in a 0.064 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.064 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.064 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.064 * [taylor]: Taking taylor expansion of b in a 0.064 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.064 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.064 * [taylor]: Taking taylor expansion of a in a 0.064 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.064 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.064 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.064 * [taylor]: Taking taylor expansion of a in a 0.065 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.065 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.065 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.065 * [taylor]: Taking taylor expansion of b in a 0.065 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.065 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.065 * [taylor]: Taking taylor expansion of a in a 0.065 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.065 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.065 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.065 * [taylor]: Taking taylor expansion of a in b 0.065 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.065 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.065 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.065 * [taylor]: Taking taylor expansion of b in b 0.066 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.066 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.066 * [taylor]: Taking taylor expansion of a in b 0.068 * [taylor]: Taking taylor expansion of 0 in b 0.071 * [taylor]: Taking taylor expansion of 0 in b 0.075 * [taylor]: Taking taylor expansion of 0 in b 0.075 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in (a b) around 0 0.075 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.075 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.075 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.075 * [taylor]: Taking taylor expansion of -1 in b 0.075 * [taylor]: Taking taylor expansion of a in b 0.075 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.075 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.075 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.075 * [taylor]: Taking taylor expansion of -1 in b 0.075 * [taylor]: Taking taylor expansion of b in b 0.076 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.076 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.076 * [taylor]: Taking taylor expansion of -1 in b 0.076 * [taylor]: Taking taylor expansion of a in b 0.076 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.076 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.076 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.076 * [taylor]: Taking taylor expansion of -1 in a 0.076 * [taylor]: Taking taylor expansion of a in a 0.076 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.076 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.076 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.076 * [taylor]: Taking taylor expansion of -1 in a 0.076 * [taylor]: Taking taylor expansion of b in a 0.076 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.076 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.076 * [taylor]: Taking taylor expansion of -1 in a 0.076 * [taylor]: Taking taylor expansion of a in a 0.077 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.077 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.077 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.077 * [taylor]: Taking taylor expansion of -1 in a 0.077 * [taylor]: Taking taylor expansion of a in a 0.077 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.077 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.077 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.077 * [taylor]: Taking taylor expansion of -1 in a 0.077 * [taylor]: Taking taylor expansion of b in a 0.078 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.078 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.078 * [taylor]: Taking taylor expansion of -1 in a 0.078 * [taylor]: Taking taylor expansion of a in a 0.078 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.078 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.078 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.078 * [taylor]: Taking taylor expansion of -1 in b 0.078 * [taylor]: Taking taylor expansion of a in b 0.078 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.078 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.078 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.078 * [taylor]: Taking taylor expansion of -1 in b 0.078 * [taylor]: Taking taylor expansion of b in b 0.079 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.079 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.079 * [taylor]: Taking taylor expansion of -1 in b 0.079 * [taylor]: Taking taylor expansion of a in b 0.080 * [taylor]: Taking taylor expansion of 0 in b 0.086 * [taylor]: Taking taylor expansion of 0 in b 0.090 * [taylor]: Taking taylor expansion of 0 in b 0.090 * * * [progress]: simplifying candidates 0.091 * [simplify]: Simplifying using # : (- a (log (+ (exp a) (exp b)))) (log (/ (exp a) (+ (exp a) (exp b)))) (exp (/ (exp a) (+ (exp a) (exp b)))) (/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b)))) (* (cbrt (/ (exp a) (+ (exp a) (exp b)))) (cbrt (/ (exp a) (+ (exp a) (exp b))))) (cbrt (/ (exp a) (+ (exp a) (exp b)))) (* (* (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))) (- (exp a)) (- (+ (exp a) (exp b))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b)))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b)))) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))) (/ (* (cbrt (exp a)) (cbrt (exp a))) 1) (/ (cbrt (exp a)) (+ (exp a) (exp b))) (/ (* (cbrt (exp a)) (cbrt (exp a))) 1) (/ (cbrt (exp a)) (+ (exp a) (exp b))) (/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) 1) (/ (sqrt (exp a)) (+ (exp a) (exp b))) (/ (sqrt (exp a)) 1) (/ (sqrt (exp a)) (+ (exp a) (exp b))) (/ 1 (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (exp a) (cbrt (+ (exp a) (exp b)))) (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (exp a) (sqrt (+ (exp a) (exp b)))) (/ 1 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp a) (exp b))) (/ (+ (exp a) (exp b)) (exp a)) (/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (exp a) (sqrt (+ (exp a) (exp b)))) (/ (exp a) 1) (/ (exp a) 1) (/ (+ (exp a) (exp b)) (cbrt (exp a))) (/ (+ (exp a) (exp b)) (sqrt (exp a))) (/ (+ (exp a) (exp b)) (exp a)) (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (/ (exp a) (- (* (exp a) (exp a)) (* (exp b) (exp b)))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a))) 0.095 * * [simplify]: iteration 0 : 139 enodes (cost 307 ) 0.098 * * [simplify]: iteration 1 : 427 enodes (cost 287 ) 0.103 * * [simplify]: iteration 2 : 1160 enodes (cost 285 ) 0.121 * * [simplify]: iteration 3 : 3893 enodes (cost 285 ) 0.169 * * [simplify]: iteration 4 : 5002 enodes (cost 285 ) 0.171 * [simplify]: Simplified to: (- a (log (+ (exp a) (exp b)))) (- a (log (+ (exp a) (exp b)))) (exp (/ (exp a) (+ (exp a) (exp b)))) (pow (/ (exp a) (+ (exp b) (exp a))) 3) (* (cbrt (/ (exp a) (+ (exp a) (exp b)))) (cbrt (/ (exp a) (+ (exp a) (exp b))))) (cbrt (/ (exp a) (+ (exp a) (exp b)))) (pow (/ (exp a) (+ (exp b) (exp a))) 3) (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))) (- (exp a)) (- (+ (exp a) (exp b))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b)))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b)))) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))) (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))) (/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))) (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))) (/ 1 (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (exp a) (cbrt (+ (exp a) (exp b)))) (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (exp a) (sqrt (+ (exp a) (exp b)))) 1 (/ (exp a) (+ (exp b) (exp a))) 1 (/ (exp a) (+ (exp b) (exp a))) (/ 1 (+ (exp a) (exp b))) (/ (+ (exp a) (exp b)) (exp a)) (/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (exp a) (sqrt (+ (exp a) (exp b)))) (exp a) (exp a) (/ (+ (exp a) (exp b)) (cbrt (exp a))) (/ (+ (exp a) (exp b)) (sqrt (exp a))) (/ (+ (exp a) (exp b)) (exp a)) (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (/ (exp a) (+ (exp (+ a a)) (- (exp (+ b b))))) (+ (* 1/4 (- a b)) 1/2) (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a))) 0.171 * * * [progress]: adding candidates to table 0.234 * * [progress]: iteration 2 / 4 0.234 * * * [progress]: picking best candidate 0.237 * * * * [pick]: Picked # 0.237 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.243 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.250 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.265 * [approximate]: Taking taylor expansion of (/ (+ (exp b) (exp a)) (exp a)) in (a b) around 0 0.265 * [taylor]: Taking taylor expansion of (/ (+ (exp b) (exp a)) (exp a)) in b 0.265 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.265 * [taylor]: Taking taylor expansion of (exp b) in b 0.265 * [taylor]: Taking taylor expansion of b in b 0.265 * [taylor]: Taking taylor expansion of (exp a) in b 0.265 * [taylor]: Taking taylor expansion of a in b 0.265 * [taylor]: Taking taylor expansion of (exp a) in b 0.265 * [taylor]: Taking taylor expansion of a in b 0.265 * [taylor]: Taking taylor expansion of (/ (+ (exp b) (exp a)) (exp a)) in a 0.265 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.265 * [taylor]: Taking taylor expansion of (exp b) in a 0.265 * [taylor]: Taking taylor expansion of b in a 0.265 * [taylor]: Taking taylor expansion of (exp a) in a 0.266 * [taylor]: Taking taylor expansion of a in a 0.266 * [taylor]: Taking taylor expansion of (exp a) in a 0.266 * [taylor]: Taking taylor expansion of a in a 0.266 * [taylor]: Taking taylor expansion of (/ (+ (exp b) (exp a)) (exp a)) in a 0.266 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.266 * [taylor]: Taking taylor expansion of (exp b) in a 0.266 * [taylor]: Taking taylor expansion of b in a 0.266 * [taylor]: Taking taylor expansion of (exp a) in a 0.266 * [taylor]: Taking taylor expansion of a in a 0.266 * [taylor]: Taking taylor expansion of (exp a) in a 0.266 * [taylor]: Taking taylor expansion of a in a 0.266 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.266 * [taylor]: Taking taylor expansion of (exp b) in b 0.266 * [taylor]: Taking taylor expansion of b in b 0.266 * [taylor]: Taking taylor expansion of 1 in b 0.269 * [taylor]: Taking taylor expansion of (- (exp b)) in b 0.269 * [taylor]: Taking taylor expansion of (exp b) in b 0.269 * [taylor]: Taking taylor expansion of b in b 0.270 * [approximate]: Taking taylor expansion of (/ (+ (exp (/ 1 b)) (exp (/ 1 a))) (exp (/ 1 a))) in (a b) around 0 0.270 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ 1 b)) (exp (/ 1 a))) (exp (/ 1 a))) in b 0.270 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.270 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.270 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.270 * [taylor]: Taking taylor expansion of b in b 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.271 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.271 * [taylor]: Taking taylor expansion of a in b 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.271 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.271 * [taylor]: Taking taylor expansion of a in b 0.271 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ 1 b)) (exp (/ 1 a))) (exp (/ 1 a))) in a 0.271 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.271 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.271 * [taylor]: Taking taylor expansion of b in a 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.271 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.271 * [taylor]: Taking taylor expansion of a in a 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.271 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.272 * [taylor]: Taking taylor expansion of a in a 0.272 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ 1 b)) (exp (/ 1 a))) (exp (/ 1 a))) in a 0.272 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.272 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.272 * [taylor]: Taking taylor expansion of b in a 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.272 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.272 * [taylor]: Taking taylor expansion of a in a 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.272 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.272 * [taylor]: Taking taylor expansion of a in a 0.273 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ 1 b)) (exp (/ 1 a))) (exp (/ 1 a))) in b 0.273 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.273 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.273 * [taylor]: Taking taylor expansion of b in b 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.273 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.273 * [taylor]: Taking taylor expansion of a in b 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.273 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.273 * [taylor]: Taking taylor expansion of a in b 0.275 * [taylor]: Taking taylor expansion of 0 in b 0.278 * [taylor]: Taking taylor expansion of 0 in b 0.282 * [taylor]: Taking taylor expansion of 0 in b 0.282 * [approximate]: Taking taylor expansion of (/ (+ (exp (/ -1 b)) (exp (/ -1 a))) (exp (/ -1 a))) in (a b) around 0 0.282 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ -1 b)) (exp (/ -1 a))) (exp (/ -1 a))) in b 0.282 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.282 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.282 * [taylor]: Taking taylor expansion of -1 in b 0.282 * [taylor]: Taking taylor expansion of b in b 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.282 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.282 * [taylor]: Taking taylor expansion of -1 in b 0.282 * [taylor]: Taking taylor expansion of a in b 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.282 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.283 * [taylor]: Taking taylor expansion of -1 in b 0.283 * [taylor]: Taking taylor expansion of a in b 0.283 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ -1 b)) (exp (/ -1 a))) (exp (/ -1 a))) in a 0.283 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.283 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.283 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.283 * [taylor]: Taking taylor expansion of -1 in a 0.283 * [taylor]: Taking taylor expansion of b in a 0.283 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.283 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.283 * [taylor]: Taking taylor expansion of -1 in a 0.283 * [taylor]: Taking taylor expansion of a in a 0.283 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.283 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.283 * [taylor]: Taking taylor expansion of -1 in a 0.283 * [taylor]: Taking taylor expansion of a in a 0.284 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ -1 b)) (exp (/ -1 a))) (exp (/ -1 a))) in a 0.284 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.284 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.284 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.284 * [taylor]: Taking taylor expansion of -1 in a 0.284 * [taylor]: Taking taylor expansion of b in a 0.284 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.284 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.284 * [taylor]: Taking taylor expansion of -1 in a 0.284 * [taylor]: Taking taylor expansion of a in a 0.284 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.284 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.284 * [taylor]: Taking taylor expansion of -1 in a 0.284 * [taylor]: Taking taylor expansion of a in a 0.285 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ -1 b)) (exp (/ -1 a))) (exp (/ -1 a))) in b 0.285 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.285 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.285 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.285 * [taylor]: Taking taylor expansion of -1 in b 0.285 * [taylor]: Taking taylor expansion of b in b 0.285 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.285 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.285 * [taylor]: Taking taylor expansion of -1 in b 0.285 * [taylor]: Taking taylor expansion of a in b 0.286 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.286 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.286 * [taylor]: Taking taylor expansion of -1 in b 0.286 * [taylor]: Taking taylor expansion of a in b 0.287 * [taylor]: Taking taylor expansion of 0 in b 0.290 * [taylor]: Taking taylor expansion of 0 in b 0.293 * [taylor]: Taking taylor expansion of 0 in b 0.294 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.294 * [approximate]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in (a b) around 0 0.294 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in b 0.294 * [taylor]: Taking taylor expansion of (exp a) in b 0.294 * [taylor]: Taking taylor expansion of a in b 0.294 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.294 * [taylor]: Taking taylor expansion of (exp b) in b 0.294 * [taylor]: Taking taylor expansion of b in b 0.294 * [taylor]: Taking taylor expansion of (exp a) in b 0.294 * [taylor]: Taking taylor expansion of a in b 0.294 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in a 0.294 * [taylor]: Taking taylor expansion of (exp a) in a 0.294 * [taylor]: Taking taylor expansion of a in a 0.294 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.294 * [taylor]: Taking taylor expansion of (exp b) in a 0.294 * [taylor]: Taking taylor expansion of b in a 0.294 * [taylor]: Taking taylor expansion of (exp a) in a 0.294 * [taylor]: Taking taylor expansion of a in a 0.294 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in a 0.294 * [taylor]: Taking taylor expansion of (exp a) in a 0.294 * [taylor]: Taking taylor expansion of a in a 0.294 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.294 * [taylor]: Taking taylor expansion of (exp b) in a 0.294 * [taylor]: Taking taylor expansion of b in a 0.294 * [taylor]: Taking taylor expansion of (exp a) in a 0.294 * [taylor]: Taking taylor expansion of a in a 0.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.295 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.295 * [taylor]: Taking taylor expansion of (exp b) in b 0.295 * [taylor]: Taking taylor expansion of b in b 0.295 * [taylor]: Taking taylor expansion of 1 in b 0.297 * [taylor]: Taking taylor expansion of (- (/ 1 (+ (exp b) 1)) (/ 1 (pow (+ (exp b) 1) 2))) in b 0.297 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.297 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.297 * [taylor]: Taking taylor expansion of (exp b) in b 0.297 * [taylor]: Taking taylor expansion of b in b 0.297 * [taylor]: Taking taylor expansion of 1 in b 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp b) 1) 2)) in b 0.298 * [taylor]: Taking taylor expansion of (pow (+ (exp b) 1) 2) in b 0.298 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.298 * [taylor]: Taking taylor expansion of (exp b) in b 0.298 * [taylor]: Taking taylor expansion of b in b 0.298 * [taylor]: Taking taylor expansion of 1 in b 0.301 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in (a b) around 0 0.301 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.301 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.301 * [taylor]: Taking taylor expansion of a in b 0.301 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.301 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.301 * [taylor]: Taking taylor expansion of b in b 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.301 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.301 * [taylor]: Taking taylor expansion of a in b 0.301 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.301 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.301 * [taylor]: Taking taylor expansion of a in a 0.302 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.302 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.302 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.302 * [taylor]: Taking taylor expansion of b in a 0.302 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.302 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.302 * [taylor]: Taking taylor expansion of a in a 0.302 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.302 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.302 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.302 * [taylor]: Taking taylor expansion of a in a 0.303 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.303 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.303 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.303 * [taylor]: Taking taylor expansion of b in a 0.303 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.303 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.303 * [taylor]: Taking taylor expansion of a in a 0.303 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.303 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.303 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.303 * [taylor]: Taking taylor expansion of a in b 0.303 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.303 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.303 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.303 * [taylor]: Taking taylor expansion of b in b 0.304 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.304 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.304 * [taylor]: Taking taylor expansion of a in b 0.305 * [taylor]: Taking taylor expansion of 0 in b 0.308 * [taylor]: Taking taylor expansion of 0 in b 0.315 * [taylor]: Taking taylor expansion of 0 in b 0.316 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in (a b) around 0 0.316 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.316 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.316 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.316 * [taylor]: Taking taylor expansion of -1 in b 0.316 * [taylor]: Taking taylor expansion of a in b 0.316 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.316 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.316 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.316 * [taylor]: Taking taylor expansion of -1 in b 0.316 * [taylor]: Taking taylor expansion of b in b 0.316 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.316 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.316 * [taylor]: Taking taylor expansion of -1 in b 0.316 * [taylor]: Taking taylor expansion of a in b 0.317 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.317 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.317 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.317 * [taylor]: Taking taylor expansion of -1 in a 0.317 * [taylor]: Taking taylor expansion of a in a 0.317 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.317 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.317 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.317 * [taylor]: Taking taylor expansion of -1 in a 0.317 * [taylor]: Taking taylor expansion of b in a 0.317 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.317 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.317 * [taylor]: Taking taylor expansion of -1 in a 0.317 * [taylor]: Taking taylor expansion of a in a 0.318 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.318 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.318 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.318 * [taylor]: Taking taylor expansion of -1 in a 0.318 * [taylor]: Taking taylor expansion of a in a 0.318 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.318 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.318 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.318 * [taylor]: Taking taylor expansion of -1 in a 0.318 * [taylor]: Taking taylor expansion of b in a 0.318 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.318 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.318 * [taylor]: Taking taylor expansion of -1 in a 0.318 * [taylor]: Taking taylor expansion of a in a 0.319 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.319 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.319 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.319 * [taylor]: Taking taylor expansion of -1 in b 0.319 * [taylor]: Taking taylor expansion of a in b 0.319 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.319 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.319 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.319 * [taylor]: Taking taylor expansion of -1 in b 0.319 * [taylor]: Taking taylor expansion of b in b 0.319 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.319 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.319 * [taylor]: Taking taylor expansion of -1 in b 0.319 * [taylor]: Taking taylor expansion of a in b 0.321 * [taylor]: Taking taylor expansion of 0 in b 0.324 * [taylor]: Taking taylor expansion of 0 in b 0.328 * [taylor]: Taking taylor expansion of 0 in b 0.328 * * * [progress]: simplifying candidates 0.330 * [simplify]: Simplifying using # : (- (log (+ (exp a) (exp b))) a) (log (/ (+ (exp a) (exp b)) (exp a))) (exp (/ (+ (exp a) (exp b)) (exp a))) (/ (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))) (* (* (exp a) (exp a)) (exp a))) (* (cbrt (/ (+ (exp a) (exp b)) (exp a))) (cbrt (/ (+ (exp a) (exp b)) (exp a)))) (cbrt (/ (+ (exp a) (exp b)) (exp a))) (* (* (/ (+ (exp a) (exp b)) (exp a)) (/ (+ (exp a) (exp b)) (exp a))) (/ (+ (exp a) (exp b)) (exp a))) (sqrt (/ (+ (exp a) (exp b)) (exp a))) (sqrt (/ (+ (exp a) (exp b)) (exp a))) (- (+ (exp a) (exp b))) (- (exp a)) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a)))) (/ (cbrt (+ (exp a) (exp b))) (cbrt (exp a))) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (sqrt (exp a))) (/ (cbrt (+ (exp a) (exp b))) (sqrt (exp a))) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) 1) (/ (cbrt (+ (exp a) (exp b))) (exp a)) (/ (sqrt (+ (exp a) (exp b))) (* (cbrt (exp a)) (cbrt (exp a)))) (/ (sqrt (+ (exp a) (exp b))) (cbrt (exp a))) (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a))) (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a))) (/ (sqrt (+ (exp a) (exp b))) 1) (/ (sqrt (+ (exp a) (exp b))) (exp a)) (/ 1 (* (cbrt (exp a)) (cbrt (exp a)))) (/ (+ (exp a) (exp b)) (cbrt (exp a))) (/ 1 (sqrt (exp a))) (/ (+ (exp a) (exp b)) (sqrt (exp a))) (/ 1 1) (/ (+ (exp a) (exp b)) (exp a)) (/ 1 (* (cbrt (exp a)) (cbrt (exp a)))) (/ (+ (exp a) (exp b)) (cbrt (exp a))) (/ 1 (sqrt (exp a))) (/ (+ (exp a) (exp b)) (sqrt (exp a))) (/ 1 1) (/ (+ (exp a) (exp b)) (exp a)) (/ 1 (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (exp a) (exp b)) (* (cbrt (exp a)) (cbrt (exp a)))) (/ (+ (exp a) (exp b)) (sqrt (exp a))) (/ (+ (exp a) (exp b)) 1) (/ (exp a) (cbrt (+ (exp a) (exp b)))) (/ (exp a) (sqrt (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (* (exp a) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))) (* (exp a) (- (exp a) (exp b))) (- 1) (- (- (log (+ (exp a) (exp b))) a)) (- (log (/ (+ (exp a) (exp b)) (exp a)))) (- 0 (- (log (+ (exp a) (exp b))) a)) (- 0 (log (/ (+ (exp a) (exp b)) (exp a)))) (- (log 1) (- (log (+ (exp a) (exp b))) a)) (- (log 1) (log (/ (+ (exp a) (exp b)) (exp a)))) (log (/ 1 (/ (+ (exp a) (exp b)) (exp a)))) (exp (/ 1 (/ (+ (exp a) (exp b)) (exp a)))) (/ (* (* 1 1) 1) (/ (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (/ (* (* 1 1) 1) (* (* (/ (+ (exp a) (exp b)) (exp a)) (/ (+ (exp a) (exp b)) (exp a))) (/ (+ (exp a) (exp b)) (exp a)))) (* (cbrt (/ 1 (/ (+ (exp a) (exp b)) (exp a)))) (cbrt (/ 1 (/ (+ (exp a) (exp b)) (exp a))))) (cbrt (/ 1 (/ (+ (exp a) (exp b)) (exp a)))) (* (* (/ 1 (/ (+ (exp a) (exp b)) (exp a))) (/ 1 (/ (+ (exp a) (exp b)) (exp a)))) (/ 1 (/ (+ (exp a) (exp b)) (exp a)))) (sqrt (/ 1 (/ (+ (exp a) (exp b)) (exp a)))) (sqrt (/ 1 (/ (+ (exp a) (exp b)) (exp a)))) (- 1) (- (/ (+ (exp a) (exp b)) (exp a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (exp a) (exp b)) (exp a))) (cbrt (/ (+ (exp a) (exp b)) (exp a))))) (/ (cbrt 1) (cbrt (/ (+ (exp a) (exp b)) (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (/ (cbrt 1) (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))) (/ (cbrt 1) (/ (cbrt (+ (exp a) (exp b))) (cbrt (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (sqrt (exp a)))) (/ (cbrt 1) (/ (cbrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) 1)) (/ (cbrt 1) (/ (cbrt (+ (exp a) (exp b))) (exp a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (exp a) (exp b))) (* (cbrt (exp a)) (cbrt (exp a))))) (/ (cbrt 1) (/ (sqrt (+ (exp a) (exp b))) (cbrt (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ (cbrt 1) (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (exp a) (exp b))) 1)) (/ (cbrt 1) (/ (sqrt (+ (exp a) (exp b))) (exp a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (exp a)) (cbrt (exp a))))) (/ (cbrt 1) (/ (+ (exp a) (exp b)) (cbrt (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (exp a)))) (/ (cbrt 1) (/ (+ (exp a) (exp b)) (sqrt (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ (exp a) (exp b)) (exp a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (exp a)) (cbrt (exp a))))) (/ (cbrt 1) (/ (+ (exp a) (exp b)) (cbrt (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (exp a)))) (/ (cbrt 1) (/ (+ (exp a) (exp b)) (sqrt (exp a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ (exp a) (exp b)) (exp a))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ (exp a) (exp b)) (exp a))) (/ (* (cbrt 1) (cbrt 1)) (+ (exp a) (exp b))) (/ (cbrt 1) (/ 1 (exp a))) (/ (sqrt 1) (* (cbrt (/ (+ (exp a) (exp b)) (exp a))) (cbrt (/ (+ (exp a) (exp b)) (exp a))))) (/ (sqrt 1) (cbrt (/ (+ (exp a) (exp b)) (exp a)))) (/ (sqrt 1) (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (/ (sqrt 1) (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (/ (sqrt 1) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))) (/ (sqrt 1) (/ (cbrt (+ (exp a) (exp b))) (cbrt (exp a)))) (/ (sqrt 1) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (sqrt (exp a)))) (/ (sqrt 1) (/ (cbrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ (sqrt 1) (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) 1)) (/ (sqrt 1) (/ (cbrt (+ (exp a) (exp b))) (exp a))) (/ (sqrt 1) (/ (sqrt (+ (exp a) (exp b))) (* (cbrt (exp a)) (cbrt (exp a))))) (/ (sqrt 1) (/ (sqrt (+ (exp a) (exp b))) (cbrt (exp a)))) (/ (sqrt 1) (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ (sqrt 1) (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ (sqrt 1) (/ (sqrt (+ (exp a) (exp b))) 1)) (/ (sqrt 1) (/ (sqrt (+ (exp a) (exp b))) (exp a))) (/ (sqrt 1) (/ 1 (* (cbrt (exp a)) (cbrt (exp a))))) (/ (sqrt 1) (/ (+ (exp a) (exp b)) (cbrt (exp a)))) (/ (sqrt 1) (/ 1 (sqrt (exp a)))) (/ (sqrt 1) (/ (+ (exp a) (exp b)) (sqrt (exp a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ (exp a) (exp b)) (exp a))) (/ (sqrt 1) (/ 1 (* (cbrt (exp a)) (cbrt (exp a))))) (/ (sqrt 1) (/ (+ (exp a) (exp b)) (cbrt (exp a)))) (/ (sqrt 1) (/ 1 (sqrt (exp a)))) (/ (sqrt 1) (/ (+ (exp a) (exp b)) (sqrt (exp a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ (exp a) (exp b)) (exp a))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ (exp a) (exp b)) (exp a))) (/ (sqrt 1) (+ (exp a) (exp b))) (/ (sqrt 1) (/ 1 (exp a))) (/ 1 (* (cbrt (/ (+ (exp a) (exp b)) (exp a))) (cbrt (/ (+ (exp a) (exp b)) (exp a))))) (/ 1 (cbrt (/ (+ (exp a) (exp b)) (exp a)))) (/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (/ 1 (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))) (/ 1 (/ (cbrt (+ (exp a) (exp b))) (cbrt (exp a)))) (/ 1 (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (sqrt (exp a)))) (/ 1 (/ (cbrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ 1 (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) 1)) (/ 1 (/ (cbrt (+ (exp a) (exp b))) (exp a))) (/ 1 (/ (sqrt (+ (exp a) (exp b))) (* (cbrt (exp a)) (cbrt (exp a))))) (/ 1 (/ (sqrt (+ (exp a) (exp b))) (cbrt (exp a)))) (/ 1 (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ 1 (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ 1 (/ (sqrt (+ (exp a) (exp b))) 1)) (/ 1 (/ (sqrt (+ (exp a) (exp b))) (exp a))) (/ 1 (/ 1 (* (cbrt (exp a)) (cbrt (exp a))))) (/ 1 (/ (+ (exp a) (exp b)) (cbrt (exp a)))) (/ 1 (/ 1 (sqrt (exp a)))) (/ 1 (/ (+ (exp a) (exp b)) (sqrt (exp a)))) (/ 1 (/ 1 1)) (/ 1 (/ (+ (exp a) (exp b)) (exp a))) (/ 1 (/ 1 (* (cbrt (exp a)) (cbrt (exp a))))) (/ 1 (/ (+ (exp a) (exp b)) (cbrt (exp a)))) (/ 1 (/ 1 (sqrt (exp a)))) (/ 1 (/ (+ (exp a) (exp b)) (sqrt (exp a)))) (/ 1 (/ 1 1)) (/ 1 (/ (+ (exp a) (exp b)) (exp a))) (/ 1 1) (/ 1 (/ (+ (exp a) (exp b)) (exp a))) (/ 1 (+ (exp a) (exp b))) (/ 1 (/ 1 (exp a))) (/ 1 (/ (+ (exp a) (exp b)) (exp a))) (/ (/ (+ (exp a) (exp b)) (exp a)) 1) (/ 1 (* (cbrt (/ (+ (exp a) (exp b)) (exp a))) (cbrt (/ (+ (exp a) (exp b)) (exp a))))) (/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (/ 1 (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))) (/ 1 (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (sqrt (exp a)))) (/ 1 (/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) 1)) (/ 1 (/ (sqrt (+ (exp a) (exp b))) (* (cbrt (exp a)) (cbrt (exp a))))) (/ 1 (/ (sqrt (+ (exp a) (exp b))) (sqrt (exp a)))) (/ 1 (/ (sqrt (+ (exp a) (exp b))) 1)) (/ 1 (/ 1 (* (cbrt (exp a)) (cbrt (exp a))))) (/ 1 (/ 1 (sqrt (exp a)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt (exp a)) (cbrt (exp a))))) (/ 1 (/ 1 (sqrt (exp a)))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ (exp a) (exp b))) (/ (/ (+ (exp a) (exp b)) (exp a)) (cbrt 1)) (/ (/ (+ (exp a) (exp b)) (exp a)) (sqrt 1)) (/ (/ (+ (exp a) (exp b)) (exp a)) 1) (/ 1 (+ (exp a) (exp b))) (- (+ b 2) a) (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a)) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a))) 0.338 * * [simplify]: iteration 0 : 375 enodes (cost 1347 ) 0.345 * * [simplify]: iteration 1 : 1595 enodes (cost 1214 ) 0.367 * * [simplify]: iteration 2 : 5002 enodes (cost 1117 ) 0.372 * [simplify]: Simplified 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a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) (* (cbrt (exp a)) (cbrt (exp a))) (/ 1 (/ (+ (exp a) (exp b)) (cbrt (exp a)))) (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp a) (exp b))) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (exp a) (exp b)) (exp a)) (/ (/ 1 (cbrt (/ (+ (exp a) (exp b)) (exp a)))) (cbrt (/ (+ (exp a) (exp b)) (exp a)))) (/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ 1 (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) (/ 1 (sqrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (exp a)) 1 (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (exp a)) 1 1 (/ 1 (+ (exp a) (exp b))) (/ (+ (exp a) (exp b)) (exp a)) (/ (+ (exp a) (exp b)) (exp a)) (/ (+ (exp a) (exp b)) (exp a)) (/ 1 (+ (exp a) (exp b))) (- (+ b 2) a) (/ (+ (exp a) (exp b)) (exp a)) (/ (+ (exp a) (exp b)) (exp a)) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) 0.373 * * * [progress]: adding candidates to table 0.509 * * [progress]: iteration 3 / 4 0.509 * * * [progress]: picking best candidate 0.510 * * * * [pick]: Picked # 0.510 * * * [progress]: localizing error 0.515 * * * [progress]: generating rewritten candidates 0.515 * * * [progress]: generating series expansions 0.515 * * * [progress]: simplifying candidates 0.515 * [simplify]: Simplifying using # : 0.517 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.517 * [simplify]: Simplified to: 0.517 * * * [progress]: adding candidates to table 0.517 * [progress]: [Phase 3 of 3] Extracting. 0.517 * * [regime]: Finding splitpoints for: (# # #) 0.518 * * * [regime-changes]: Trying 5 branch expressions: ((exp b) (exp a) (/ (exp a) (+ (exp a) (exp b))) b a) 0.518 * * * * [regimes]: Trying to branch on (exp b) from (# # #) 0.532 * * * * [regimes]: Trying to branch on (exp a) from (# # #) 0.548 * * * * [regimes]: Trying to branch on (/ (exp a) (+ (exp a) (exp b))) from (# # #) 0.566 * * * * [regimes]: Trying to branch on b from (# # #) 0.579 * * * * [regimes]: Trying to branch on a from (# # #) 0.593 * * * [regime]: Found split indices: #