23.949 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (/ (exp a) (+ (exp a) (exp b))) 0.064 * * [simplify]: iteration 0 : 7 enodes (cost 5 ) 0.065 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.065 * [simplify]: Simplified to: (/ (exp a) (+ (exp a) (exp b))) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.067 * * * * [pick]: Picked # 0.067 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.081 * [approximate]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in (a b) around 0 0.081 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in b 0.081 * [taylor]: Taking taylor expansion of (exp a) in b 0.081 * [taylor]: Taking taylor expansion of a in b 0.082 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.082 * [taylor]: Taking taylor expansion of (exp b) in b 0.082 * [taylor]: Taking taylor expansion of b in b 0.082 * [taylor]: Taking taylor expansion of (exp a) in b 0.082 * [taylor]: Taking taylor expansion of a in b 0.082 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in a 0.082 * [taylor]: Taking taylor expansion of (exp a) in a 0.082 * [taylor]: Taking taylor expansion of a in a 0.082 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.082 * [taylor]: Taking taylor expansion of (exp b) in a 0.082 * [taylor]: Taking taylor expansion of b in a 0.082 * [taylor]: Taking taylor expansion of (exp a) in a 0.082 * [taylor]: Taking taylor expansion of a in a 0.082 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in a 0.082 * [taylor]: Taking taylor expansion of (exp a) in a 0.082 * [taylor]: Taking taylor expansion of a in a 0.082 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.082 * [taylor]: Taking taylor expansion of (exp b) in a 0.082 * [taylor]: Taking taylor expansion of b in a 0.082 * [taylor]: Taking taylor expansion of (exp a) in a 0.082 * [taylor]: Taking taylor expansion of a in a 0.082 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.082 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.082 * [taylor]: Taking taylor expansion of (exp b) in b 0.082 * [taylor]: Taking taylor expansion of b in b 0.082 * [taylor]: Taking taylor expansion of 1 in b 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 (+ (exp b) 1)) (/ 1 (pow (+ (exp b) 1) 2))) in b 0.085 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.085 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.085 * [taylor]: Taking taylor expansion of (exp b) in b 0.085 * [taylor]: Taking taylor expansion of b in b 0.085 * [taylor]: Taking taylor expansion of 1 in b 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp b) 1) 2)) in b 0.086 * [taylor]: Taking taylor expansion of (pow (+ (exp b) 1) 2) in b 0.086 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.086 * [taylor]: Taking taylor expansion of (exp b) in b 0.086 * [taylor]: Taking taylor expansion of b in b 0.086 * [taylor]: Taking taylor expansion of 1 in b 0.089 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in (a b) around 0 0.089 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.089 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.089 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.089 * [taylor]: Taking taylor expansion of a in b 0.089 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.089 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.089 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.089 * [taylor]: Taking taylor expansion of b in b 0.090 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.090 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.090 * [taylor]: Taking taylor expansion of a in b 0.090 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.090 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.090 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.090 * [taylor]: Taking taylor expansion of a in a 0.090 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.090 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.090 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.090 * [taylor]: Taking taylor expansion of b in a 0.091 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.091 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.091 * [taylor]: Taking taylor expansion of a in a 0.091 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.091 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.091 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.091 * [taylor]: Taking taylor expansion of a in a 0.091 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.091 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.091 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.091 * [taylor]: Taking taylor expansion of b in a 0.092 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.092 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.092 * [taylor]: Taking taylor expansion of a in a 0.092 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.092 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.092 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.092 * [taylor]: Taking taylor expansion of a in b 0.092 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.092 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.092 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.092 * [taylor]: Taking taylor expansion of b in b 0.093 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.093 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.093 * [taylor]: Taking taylor expansion of a in b 0.094 * [taylor]: Taking taylor expansion of 0 in b 0.097 * [taylor]: Taking taylor expansion of 0 in b 0.101 * [taylor]: Taking taylor expansion of 0 in b 0.102 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in (a b) around 0 0.102 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.102 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.102 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.102 * [taylor]: Taking taylor expansion of -1 in b 0.102 * [taylor]: Taking taylor expansion of a in b 0.102 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.102 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.102 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.102 * [taylor]: Taking taylor expansion of -1 in b 0.102 * [taylor]: Taking taylor expansion of b in b 0.102 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.102 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.102 * [taylor]: Taking taylor expansion of -1 in b 0.102 * [taylor]: Taking taylor expansion of a in b 0.103 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.103 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.103 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.103 * [taylor]: Taking taylor expansion of -1 in a 0.103 * [taylor]: Taking taylor expansion of a in a 0.103 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.103 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.103 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.103 * [taylor]: Taking taylor expansion of -1 in a 0.103 * [taylor]: Taking taylor expansion of b in a 0.103 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.103 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.103 * [taylor]: Taking taylor expansion of -1 in a 0.103 * [taylor]: Taking taylor expansion of a in a 0.104 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.104 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.104 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.104 * [taylor]: Taking taylor expansion of -1 in a 0.104 * [taylor]: Taking taylor expansion of a in a 0.104 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.104 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.104 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.104 * [taylor]: Taking taylor expansion of -1 in a 0.104 * [taylor]: Taking taylor expansion of b in a 0.104 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.104 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.104 * [taylor]: Taking taylor expansion of -1 in a 0.104 * [taylor]: Taking taylor expansion of a in a 0.105 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.105 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.105 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.105 * [taylor]: Taking taylor expansion of -1 in b 0.105 * [taylor]: Taking taylor expansion of a in b 0.105 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.105 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.105 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.105 * [taylor]: Taking taylor expansion of -1 in b 0.105 * [taylor]: Taking taylor expansion of b in b 0.105 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.105 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.105 * [taylor]: Taking taylor expansion of -1 in b 0.105 * [taylor]: Taking taylor expansion of a in b 0.107 * [taylor]: Taking taylor expansion of 0 in b 0.110 * [taylor]: Taking taylor expansion of 0 in b 0.119 * [taylor]: Taking taylor expansion of 0 in b 0.120 * * * [progress]: simplifying candidates 0.120 * [simplify]: Simplifying using # : (expm1 (/ (exp a) (+ (exp a) (exp b)))) (log1p (/ (exp a) (+ (exp a) (exp b)))) (- 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))) 0.124 * * [simplify]: iteration 0 : 143 enodes (cost 319 ) 0.127 * * [simplify]: iteration 1 : 446 enodes (cost 298 ) 0.134 * * [simplify]: iteration 2 : 1221 enodes (cost 297 ) 0.154 * * [simplify]: iteration 3 : 4142 enodes (cost 296 ) 0.206 * * [simplify]: iteration 4 : 5001 enodes (cost 296 ) 0.208 * [simplify]: Simplified to: (expm1 (/ (exp a) (+ (exp a) (exp b)))) (log1p (/ (exp a) (+ (exp a) (exp b)))) (- 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) (fma (- (exp b)) (exp b) (exp (+ a a)))) (fma 1/4 (- a b) 1/2) (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a))) 0.208 * * * [progress]: adding candidates to table 0.292 * * [progress]: iteration 2 / 4 0.292 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.312 * * * [progress]: generating rewritten candidates 0.312 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.316 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.324 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.333 * [approximate]: Taking taylor expansion of (log (+ (exp b) (exp a))) in (a b) around 0 0.333 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in b 0.333 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.333 * [taylor]: Taking taylor expansion of (exp b) in b 0.333 * [taylor]: Taking taylor expansion of b in b 0.333 * [taylor]: Taking taylor expansion of (exp a) in b 0.333 * [taylor]: Taking taylor expansion of a in b 0.333 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in a 0.333 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.333 * [taylor]: Taking taylor expansion of (exp b) in a 0.333 * [taylor]: Taking taylor expansion of b in a 0.333 * [taylor]: Taking taylor expansion of (exp a) in a 0.333 * [taylor]: Taking taylor expansion of a in a 0.333 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in a 0.333 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.333 * [taylor]: Taking taylor expansion of (exp b) in a 0.333 * [taylor]: Taking taylor expansion of b in a 0.333 * [taylor]: Taking taylor expansion of (exp a) in a 0.333 * [taylor]: Taking taylor expansion of a in a 0.334 * [taylor]: Taking taylor expansion of (log (+ (exp b) 1)) in b 0.334 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.334 * [taylor]: Taking taylor expansion of (exp b) in b 0.334 * [taylor]: Taking taylor expansion of b in b 0.334 * [taylor]: Taking taylor expansion of 1 in b 0.336 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.336 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.336 * [taylor]: Taking taylor expansion of (exp b) in b 0.336 * [taylor]: Taking taylor expansion of b in b 0.337 * [taylor]: Taking taylor expansion of 1 in b 0.339 * [approximate]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in (a b) around 0 0.339 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.339 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.339 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.339 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.339 * [taylor]: Taking taylor expansion of b in b 0.339 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.339 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.339 * [taylor]: Taking taylor expansion of a in b 0.340 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.340 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.340 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.340 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.340 * [taylor]: Taking taylor expansion of b in a 0.340 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.340 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.340 * [taylor]: Taking taylor expansion of a in a 0.340 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.340 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.340 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.340 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.340 * [taylor]: Taking taylor expansion of b in a 0.340 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.340 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.340 * [taylor]: Taking taylor expansion of a in a 0.341 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.341 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.341 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.341 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.341 * [taylor]: Taking taylor expansion of b in b 0.341 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.341 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.341 * [taylor]: Taking taylor expansion of a in b 0.343 * [taylor]: Taking taylor expansion of 0 in b 0.346 * [taylor]: Taking taylor expansion of 0 in b 0.352 * [taylor]: Taking taylor expansion of 0 in b 0.352 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in (a b) around 0 0.352 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.352 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.352 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.352 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.352 * [taylor]: Taking taylor expansion of -1 in b 0.352 * [taylor]: Taking taylor expansion of b in b 0.353 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.353 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.353 * [taylor]: Taking taylor expansion of -1 in b 0.353 * [taylor]: Taking taylor expansion of a in b 0.353 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.353 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.353 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.353 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.353 * [taylor]: Taking taylor expansion of -1 in a 0.353 * [taylor]: Taking taylor expansion of b in a 0.353 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.353 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.353 * [taylor]: Taking taylor expansion of -1 in a 0.353 * [taylor]: Taking taylor expansion of a in a 0.354 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.354 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.354 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.354 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.354 * [taylor]: Taking taylor expansion of -1 in a 0.354 * [taylor]: Taking taylor expansion of b in a 0.354 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.354 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.354 * [taylor]: Taking taylor expansion of -1 in a 0.354 * [taylor]: Taking taylor expansion of a in a 0.354 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.354 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.354 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.354 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.354 * [taylor]: Taking taylor expansion of -1 in b 0.354 * [taylor]: Taking taylor expansion of b in b 0.355 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.355 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.355 * [taylor]: Taking taylor expansion of -1 in b 0.355 * [taylor]: Taking taylor expansion of a in b 0.357 * [taylor]: Taking taylor expansion of 0 in b 0.360 * [taylor]: Taking taylor expansion of 0 in b 0.365 * [taylor]: Taking taylor expansion of 0 in b 0.365 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.366 * [approximate]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in (a b) around 0 0.366 * [taylor]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in b 0.366 * [taylor]: Taking taylor expansion of a in b 0.366 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in b 0.366 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.366 * [taylor]: Taking taylor expansion of (exp b) in b 0.366 * [taylor]: Taking taylor expansion of b in b 0.366 * [taylor]: Taking taylor expansion of (exp a) in b 0.366 * [taylor]: Taking taylor expansion of a in b 0.366 * [taylor]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in a 0.366 * [taylor]: Taking taylor expansion of a in a 0.366 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in a 0.366 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.366 * [taylor]: Taking taylor expansion of (exp b) in a 0.366 * [taylor]: Taking taylor expansion of b in a 0.366 * [taylor]: Taking taylor expansion of (exp a) in a 0.366 * [taylor]: Taking taylor expansion of a in a 0.366 * [taylor]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in a 0.366 * [taylor]: Taking taylor expansion of a in a 0.366 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in a 0.366 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.366 * [taylor]: Taking taylor expansion of (exp b) in a 0.366 * [taylor]: Taking taylor expansion of b in a 0.366 * [taylor]: Taking taylor expansion of (exp a) in a 0.366 * [taylor]: Taking taylor expansion of a in a 0.366 * [taylor]: Taking taylor expansion of (- (log (+ (exp b) 1))) in b 0.366 * [taylor]: Taking taylor expansion of (log (+ (exp b) 1)) in b 0.366 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.366 * [taylor]: Taking taylor expansion of (exp b) in b 0.366 * [taylor]: Taking taylor expansion of b in b 0.366 * [taylor]: Taking taylor expansion of 1 in b 0.370 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (+ (exp b) 1))) in b 0.370 * [taylor]: Taking taylor expansion of 1 in b 0.370 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.370 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.370 * [taylor]: Taking taylor expansion of (exp b) in b 0.370 * [taylor]: Taking taylor expansion of b in b 0.370 * [taylor]: Taking taylor expansion of 1 in b 0.373 * [approximate]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in (a b) around 0 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b 0.373 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.373 * [taylor]: Taking taylor expansion of a in b 0.373 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.373 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.374 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.374 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.374 * [taylor]: Taking taylor expansion of b in b 0.374 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.374 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.374 * [taylor]: Taking taylor expansion of a in b 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in a 0.374 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.374 * [taylor]: Taking taylor expansion of a in a 0.374 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.374 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.374 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.374 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.374 * [taylor]: Taking taylor expansion of b in a 0.375 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.375 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.375 * [taylor]: Taking taylor expansion of a in a 0.375 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in a 0.375 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.375 * [taylor]: Taking taylor expansion of a in a 0.375 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.375 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.375 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.375 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.375 * [taylor]: Taking taylor expansion of b in a 0.375 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.376 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.376 * [taylor]: Taking taylor expansion of a in a 0.376 * [taylor]: Taking taylor expansion of 1 in b 0.381 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b 0.382 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.382 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.382 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.382 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.382 * [taylor]: Taking taylor expansion of b in b 0.382 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.382 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.382 * [taylor]: Taking taylor expansion of a in b 0.385 * [taylor]: Taking taylor expansion of 0 in b 0.389 * [taylor]: Taking taylor expansion of 0 in b 0.390 * [approximate]: Taking taylor expansion of (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in (a b) around 0 0.390 * [taylor]: Taking taylor expansion of (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in b 0.390 * [taylor]: Taking taylor expansion of (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)) in b 0.390 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.390 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.390 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.390 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.390 * [taylor]: Taking taylor expansion of -1 in b 0.390 * [taylor]: Taking taylor expansion of b in b 0.390 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.390 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.390 * [taylor]: Taking taylor expansion of -1 in b 0.390 * [taylor]: Taking taylor expansion of a in b 0.391 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.391 * [taylor]: Taking taylor expansion of a in b 0.391 * [taylor]: Taking taylor expansion of (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in a 0.391 * [taylor]: Taking taylor expansion of (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)) in a 0.391 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.391 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.391 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.391 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.391 * [taylor]: Taking taylor expansion of -1 in a 0.391 * [taylor]: Taking taylor expansion of b in a 0.391 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.391 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.391 * [taylor]: Taking taylor expansion of -1 in a 0.391 * [taylor]: Taking taylor expansion of a in a 0.391 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.391 * [taylor]: Taking taylor expansion of a in a 0.392 * [taylor]: Taking taylor expansion of (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in a 0.392 * [taylor]: Taking taylor expansion of (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)) in a 0.392 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.392 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.392 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.392 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.392 * [taylor]: Taking taylor expansion of -1 in a 0.392 * [taylor]: Taking taylor expansion of b in a 0.392 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.392 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.392 * [taylor]: Taking taylor expansion of -1 in a 0.392 * [taylor]: Taking taylor expansion of a in a 0.392 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.392 * [taylor]: Taking taylor expansion of a in a 0.393 * [taylor]: Taking taylor expansion of -1 in b 0.394 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) in b 0.394 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.394 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.394 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.394 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.394 * [taylor]: Taking taylor expansion of -1 in b 0.394 * [taylor]: Taking taylor expansion of b in b 0.394 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.394 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.394 * [taylor]: Taking taylor expansion of -1 in b 0.394 * [taylor]: Taking taylor expansion of a in b 0.397 * [taylor]: Taking taylor expansion of 0 in b 0.401 * [taylor]: Taking taylor expansion of 0 in b 0.402 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.402 * [approximate]: Taking taylor expansion of (exp (- a (log (+ (exp b) (exp a))))) in (a b) around 0 0.402 * [taylor]: Taking taylor expansion of (exp (- a (log (+ (exp b) (exp a))))) in b 0.402 * [taylor]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in b 0.402 * [taylor]: Taking taylor expansion of a in b 0.402 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in b 0.402 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.402 * [taylor]: Taking taylor expansion of (exp b) in b 0.402 * [taylor]: Taking taylor expansion of b in b 0.402 * [taylor]: Taking taylor expansion of (exp a) in b 0.402 * [taylor]: Taking taylor expansion of a in b 0.402 * [taylor]: Taking taylor expansion of (exp (- a (log (+ (exp b) (exp a))))) in a 0.402 * [taylor]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in a 0.402 * [taylor]: Taking taylor expansion of a in a 0.402 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in a 0.402 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.402 * [taylor]: Taking taylor expansion of (exp b) in a 0.402 * [taylor]: Taking taylor expansion of b in a 0.402 * [taylor]: Taking taylor expansion of (exp a) in a 0.402 * [taylor]: Taking taylor expansion of a in a 0.403 * [taylor]: Taking taylor expansion of (exp (- a (log (+ (exp b) (exp a))))) in a 0.403 * [taylor]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in a 0.403 * [taylor]: Taking taylor expansion of a in a 0.403 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in a 0.403 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in a 0.403 * [taylor]: Taking taylor expansion of (exp b) in a 0.403 * [taylor]: Taking taylor expansion of b in a 0.403 * [taylor]: Taking taylor expansion of (exp a) in a 0.403 * [taylor]: Taking taylor expansion of a in a 0.403 * [taylor]: Taking taylor expansion of (exp (- (log (+ (exp b) 1)))) in b 0.403 * [taylor]: Taking taylor expansion of (- (log (+ (exp b) 1))) in b 0.403 * [taylor]: Taking taylor expansion of (log (+ (exp b) 1)) in b 0.403 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.403 * [taylor]: Taking taylor expansion of (exp b) in b 0.403 * [taylor]: Taking taylor expansion of b in b 0.403 * [taylor]: Taking taylor expansion of 1 in b 0.408 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (+ (exp b) 1))) (exp (- (log (+ (exp b) 1))))) in b 0.408 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (+ (exp b) 1))) in b 0.408 * [taylor]: Taking taylor expansion of 1 in b 0.408 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b 0.408 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.408 * [taylor]: Taking taylor expansion of (exp b) in b 0.408 * [taylor]: Taking taylor expansion of b in b 0.408 * [taylor]: Taking taylor expansion of 1 in b 0.409 * [taylor]: Taking taylor expansion of (exp (- (log (+ (exp b) 1)))) in b 0.409 * [taylor]: Taking taylor expansion of (- (log (+ (exp b) 1))) in b 0.409 * [taylor]: Taking taylor expansion of (log (+ (exp b) 1)) in b 0.409 * [taylor]: Taking taylor expansion of (+ (exp b) 1) in b 0.409 * [taylor]: Taking taylor expansion of (exp b) in b 0.409 * [taylor]: Taking taylor expansion of b in b 0.409 * [taylor]: Taking taylor expansion of 1 in b 0.423 * [approximate]: Taking taylor expansion of (exp (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a)))))) in (a b) around 0 0.423 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a)))))) in b 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b 0.423 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.423 * [taylor]: Taking taylor expansion of a in b 0.423 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.423 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.423 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.423 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.423 * [taylor]: Taking taylor expansion of b in b 0.424 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.424 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.424 * [taylor]: Taking taylor expansion of a in b 0.424 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a)))))) in a 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in a 0.424 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.424 * [taylor]: Taking taylor expansion of a in a 0.424 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.425 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.425 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.425 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.425 * [taylor]: Taking taylor expansion of b in a 0.425 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.425 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.425 * [taylor]: Taking taylor expansion of a in a 0.426 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a)))))) in a 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in a 0.426 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.426 * [taylor]: Taking taylor expansion of a in a 0.426 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in a 0.426 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in a 0.426 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in a 0.426 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.426 * [taylor]: Taking taylor expansion of b in a 0.426 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 0.426 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.426 * [taylor]: Taking taylor expansion of a in a 0.427 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a)))))) in b 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b 0.427 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.427 * [taylor]: Taking taylor expansion of a in b 0.427 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.427 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.427 * [taylor]: Taking taylor expansion of (exp (/ 1 b)) in b 0.427 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.427 * [taylor]: Taking taylor expansion of b in b 0.428 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in b 0.428 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.428 * [taylor]: Taking taylor expansion of a in b 0.428 * [taylor]: Taking taylor expansion of 0 in b 0.431 * [taylor]: Taking taylor expansion of 0 in b 0.434 * [taylor]: Taking taylor expansion of 0 in b 0.435 * [approximate]: Taking taylor expansion of (exp (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)))) in (a b) around 0 0.435 * [taylor]: Taking taylor expansion of (exp (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)))) in b 0.435 * [taylor]: Taking taylor expansion of (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in b 0.435 * [taylor]: Taking taylor expansion of (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)) in b 0.435 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.435 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.435 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.435 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.435 * [taylor]: Taking taylor expansion of -1 in b 0.435 * [taylor]: Taking taylor expansion of b in b 0.435 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.435 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.435 * [taylor]: Taking taylor expansion of -1 in b 0.435 * [taylor]: Taking taylor expansion of a in b 0.435 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.435 * [taylor]: Taking taylor expansion of a in b 0.436 * [taylor]: Taking taylor expansion of (exp (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)))) in a 0.436 * [taylor]: Taking taylor expansion of (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in a 0.436 * [taylor]: Taking taylor expansion of (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)) in a 0.436 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.436 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.436 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.436 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.436 * [taylor]: Taking taylor expansion of -1 in a 0.436 * [taylor]: Taking taylor expansion of b in a 0.436 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.436 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.436 * [taylor]: Taking taylor expansion of -1 in a 0.436 * [taylor]: Taking taylor expansion of a in a 0.436 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.436 * [taylor]: Taking taylor expansion of a in a 0.437 * [taylor]: Taking taylor expansion of (exp (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)))) in a 0.437 * [taylor]: Taking taylor expansion of (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in a 0.437 * [taylor]: Taking taylor expansion of (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)) in a 0.437 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in a 0.437 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in a 0.437 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in a 0.437 * [taylor]: Taking taylor expansion of (/ -1 b) in a 0.437 * [taylor]: Taking taylor expansion of -1 in a 0.438 * [taylor]: Taking taylor expansion of b in a 0.438 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 0.438 * [taylor]: Taking taylor expansion of (/ -1 a) in a 0.438 * [taylor]: Taking taylor expansion of -1 in a 0.438 * [taylor]: Taking taylor expansion of a in a 0.438 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.438 * [taylor]: Taking taylor expansion of a in a 0.439 * [taylor]: Taking taylor expansion of (exp (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)))) in b 0.439 * [taylor]: Taking taylor expansion of (- (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in b 0.439 * [taylor]: Taking taylor expansion of (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a)) in b 0.439 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.439 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.439 * [taylor]: Taking taylor expansion of (exp (/ -1 b)) in b 0.439 * [taylor]: Taking taylor expansion of (/ -1 b) in b 0.439 * [taylor]: Taking taylor expansion of -1 in b 0.439 * [taylor]: Taking taylor expansion of b in b 0.439 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in b 0.439 * [taylor]: Taking taylor expansion of (/ -1 a) in b 0.440 * [taylor]: Taking taylor expansion of -1 in b 0.440 * [taylor]: Taking taylor expansion of a in b 0.440 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.440 * [taylor]: Taking taylor expansion of a in b 0.440 * [taylor]: Taking taylor expansion of 0 in b 0.443 * [taylor]: Taking taylor expansion of 0 in b 0.447 * [taylor]: Taking taylor expansion of 0 in b 0.447 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying using # : (expm1 (log (+ (exp a) (exp b)))) (log1p (log (+ (exp a) (exp b)))) (log (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (log (cbrt (+ (exp a) (exp b)))) (log (sqrt (+ (exp a) (exp b)))) (log (sqrt (+ (exp a) (exp b)))) (log 1) (log (+ (exp a) (exp b))) (log 1) (log (+ (exp a) (exp b))) (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))) (log (- (* (exp a) (exp a)) (* (exp b) (exp b)))) (log (- (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (log (+ (exp a) (exp b)))) (exp (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (cbrt (log (+ (exp a) (exp b)))) (* (* (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b)))) (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))) (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (log (+ (exp a) (exp b))) 1))) (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1)) (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))) (fma (- (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))))) (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b))))))) (fma (- (sqrt (log (+ (exp a) (exp b))))) (sqrt (log (+ (exp a) (exp b)))) (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))))) (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (log (+ (exp a) (exp b))) 1))) (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1)) (fma (sqrt a) (sqrt a) (- (* (log (+ (exp a) (exp b))) 1))) (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1)) (fma (sqrt a) (sqrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))) (fma (- (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))))) (fma (sqrt a) (sqrt a) (- (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b))))))) (fma (- (sqrt (log (+ (exp a) (exp b))))) (sqrt (log (+ (exp a) (exp b)))) (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))))) (fma (sqrt a) (sqrt a) (- (* (log (+ (exp a) (exp b))) 1))) (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1)) (fma 1 a (- (* (log (+ (exp a) (exp b))) 1))) (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1)) (fma 1 a (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))) (fma (- (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))))) (fma 1 a (- (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b))))))) (fma (- (sqrt (log (+ (exp a) (exp b))))) (sqrt (log (+ (exp a) (exp b)))) (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))))) (fma 1 a (- (* (log (+ (exp a) (exp b))) 1))) (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1)) (expm1 (- a (log (+ (exp a) (exp b))))) (log1p (- a (log (+ (exp a) (exp b))))) (- (log (+ (exp a) (exp b)))) (- (log (+ (exp a) (exp b)))) (- (log (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b))) (log (- a (log (+ (exp a) (exp b))))) (exp (- a (log (+ (exp a) (exp b))))) (* (cbrt (- a (log (+ (exp a) (exp b))))) (cbrt (- a (log (+ (exp a) (exp b)))))) (cbrt (- a (log (+ (exp a) (exp b))))) (* (* (- a (log (+ (exp a) (exp b)))) (- a (log (+ (exp a) (exp b))))) (- a (log (+ (exp a) (exp b))))) (sqrt (- a (log (+ (exp a) (exp b))))) (sqrt (- a (log (+ (exp a) (exp b))))) (- (pow a 3) (pow (log (+ (exp a) (exp b))) 3)) (+ (* a a) (+ (* (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b)))) (* a (log (+ (exp a) (exp b)))))) (- (log (+ (exp a) (exp b)))) (- (* a a) (* (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))))) (+ a (log (+ (exp a) (exp b)))) (+ (sqrt a) (sqrt (log (+ (exp a) (exp b))))) (- (sqrt a) (sqrt (log (+ (exp a) (exp b))))) (- a (log (+ (exp a) (exp b)))) (- a (log (+ (exp a) (exp b)))) (- a (log (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))) (- a (log (sqrt (+ (exp a) (exp b))))) (- a (log 1)) (- a (log 1)) (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))) (- (log (+ (exp a) (exp b)))) (expm1 (exp (- a (log (+ (exp a) (exp b)))))) (log1p (exp (- a (log (+ (exp a) (exp b)))))) (exp (* (cbrt (- a (log (+ (exp a) (exp b))))) (cbrt (- a (log (+ (exp a) (exp b))))))) (exp (sqrt (- a (log (+ (exp a) (exp b)))))) (exp 1) (exp (+ (sqrt a) (sqrt (log (+ (exp a) (exp b)))))) (exp 1) (exp 1) (exp (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (log (+ (exp a) (exp b))) 1)))) (exp (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1))) (exp (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))))))) (exp (fma (- (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))) (exp (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))))))) (exp (fma (- (sqrt (log (+ (exp a) (exp b))))) (sqrt (log (+ (exp a) (exp b)))) (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b))))))) (exp (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (log (+ (exp a) (exp b))) 1)))) (exp (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1))) (exp (fma (sqrt a) (sqrt a) (- (* (log (+ (exp a) (exp b))) 1)))) (exp (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1))) (exp (fma (sqrt a) (sqrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))))))) (exp (fma (- (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))) (exp (fma (sqrt a) (sqrt a) (- (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))))))) (exp (fma (- (sqrt (log (+ (exp a) (exp b))))) (sqrt (log (+ (exp a) (exp b)))) (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b))))))) (exp (fma (sqrt a) (sqrt a) (- (* (log (+ (exp a) (exp b))) 1)))) (exp (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1))) (exp (fma 1 a (- (* (log (+ (exp a) (exp b))) 1)))) (exp (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1))) (exp (fma 1 a (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))))))) (exp (fma (- (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))) (exp (fma 1 a (- (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))))))) (exp (fma (- (sqrt (log (+ (exp a) (exp b))))) (sqrt (log (+ (exp a) (exp b)))) (* (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b))))))) (exp (fma 1 a (- (* (log (+ (exp a) (exp b))) 1)))) (exp (fma (- (log (+ (exp a) (exp b)))) 1 (* (log (+ (exp a) (exp b))) 1))) (exp a) (exp (- (log (+ (exp a) (exp b))))) (exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3))))) (exp (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))) (exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b)))))) (exp (log (- (exp a) (exp b)))) (exp a) (exp (- (log (+ (exp a) (exp b))))) (exp a) (exp (log (+ (exp a) (exp b)))) (log (exp (- a (log (+ (exp a) (exp b)))))) (exp (exp (- a (log (+ (exp a) (exp b)))))) (* (cbrt (exp (- a (log (+ (exp a) (exp b)))))) (cbrt (exp (- a (log (+ (exp a) (exp b))))))) (cbrt (exp (- a (log (+ (exp a) (exp b)))))) (* (* (exp (- a (log (+ (exp a) (exp b))))) (exp (- a (log (+ (exp a) (exp b)))))) (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (+ (* 1/2 a) (+ (log 2) (* 1/2 b))) (log (+ (exp b) (exp a))) (log (+ (exp b) (exp a))) (- (* 1/2 a) (+ (log 2) (* 1/2 b))) (- a (log (+ (exp b) (exp a)))) (- a (log (+ (exp b) (exp a)))) (- (+ (exp (- (log 2))) (* 1/2 (* (exp (- (log 2))) a))) (* 1/2 (* (exp (- (log 2))) b))) (exp (- a (log (+ (exp b) (exp a))))) (exp (- a (log (+ (exp b) (exp a))))) 0.455 * * [simplify]: iteration 0 : 281 enodes (cost 1244 ) 0.459 * * [simplify]: iteration 1 : 687 enodes (cost 868 ) 0.472 * * [simplify]: iteration 2 : 2599 enodes (cost 712 ) 0.535 * * [simplify]: iteration 3 : 5002 enodes (cost 580 ) 0.541 * [simplify]: Simplified to: (expm1 (log (+ (exp a) (exp b)))) (log1p (log (+ (exp a) (exp b)))) (* 2 (log (cbrt (+ (exp a) (exp b))))) (log (cbrt (+ (exp a) (exp b)))) (log (sqrt (+ (exp a) (exp b)))) (log (sqrt (+ (exp a) (exp b)))) 0 (log (+ (exp a) (exp b))) 0 (log (+ (exp a) (exp b))) (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))) (log (- (* (exp a) (exp a)) (* (exp b) (exp b)))) (log (- (exp a) (exp b))) (log (+ (exp a) (exp b))) (log (log (+ (exp a) (exp b)))) (+ (exp a) (exp b)) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (cbrt (log (+ (exp a) (exp b)))) (pow (log (+ (exp a) (exp b))) 3) (sqrt (log (+ (exp a) (exp b)))) (sqrt (log (+ (exp a) (exp b)))) (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (- a (log (+ (exp a) (exp b)))) 0 (expm1 (- a (log (+ (exp a) (exp b))))) (log1p (- a (log (+ (exp a) (exp b))))) (- (log (+ (exp a) (exp b)))) (- (log (+ (exp a) (exp b)))) (- (log (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b))) (log (- a (log (+ (exp a) (exp b))))) (/ (exp a) (+ (exp a) (exp b))) (* (cbrt (- a (log (+ (exp a) (exp b))))) (cbrt (- a (log (+ (exp a) (exp b)))))) (cbrt (- a (log (+ (exp a) (exp b))))) (pow (- a (log (+ (exp a) (exp b)))) 3) (sqrt (- a (log (+ (exp a) (exp b))))) (sqrt (- a (log (+ (exp a) (exp b))))) (- (pow a 3) (pow (log (+ (exp a) (exp b))) 3)) (fma (log (+ (exp a) (exp b))) (+ a (log (+ (exp a) (exp b)))) (* a a)) (- (log (+ (exp a) (exp b)))) (fma a a (* (- 1) (pow (cbrt (log (+ (exp a) (exp b)))) 6))) (+ a (log (+ (exp a) (exp b)))) (+ (sqrt a) (sqrt (log (+ (exp a) (exp b))))) (- (sqrt a) (sqrt (log (+ (exp a) (exp b))))) (- a (log (+ (exp a) (exp b)))) (- a (log (+ (exp a) (exp b)))) (- a (* 2 (log (cbrt (+ (exp a) (exp b)))))) (- a (log (sqrt (+ (exp a) (exp b))))) a a (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))) (- (log (+ (exp a) (exp b)))) (expm1 (exp (- a (log (+ (exp a) (exp b)))))) (log1p (exp (- a (log (+ (exp a) (exp b)))))) (exp (* (cbrt (- a (log (+ (exp a) (exp b))))) (cbrt (- a (log (+ (exp a) (exp b))))))) (exp (sqrt (- a (log (+ (exp a) (exp b)))))) E (exp (+ (sqrt a) (sqrt (log (+ (exp a) (exp b)))))) E E (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) 1 (exp a) (/ 1 (+ (exp a) (exp b))) (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (fma (exp b) (- (exp b) (exp a)) (exp (+ a a))) (/ (exp a) (fma (- (exp b)) (exp b) (exp (+ a a)))) (- (exp a) (exp b)) (exp a) (/ 1 (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- a (log (+ (exp a) (exp b)))) (exp (exp (- a (log (+ (exp a) (exp b)))))) (* (cbrt (exp (- a (log (+ (exp a) (exp b)))))) (cbrt (exp (- a (log (+ (exp a) (exp b))))))) (cbrt (exp (- a (log (+ (exp a) (exp b)))))) (pow (/ (exp a) (+ (exp a) (exp b))) 3) (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (fma a 1/2 (fma b 1/2 (log 2))) (log (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (fma 1/2 (- a b) (- 0 (log 2))) (- a (log (+ (exp a) (exp b)))) (- a (log (+ (exp a) (exp b)))) (fma 1/4 (- a b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) 0.542 * * * [progress]: adding candidates to table 0.718 * * [progress]: iteration 3 / 4 0.718 * * * [progress]: picking best candidate 0.723 * * * * [pick]: Picked # 0.723 * * * [progress]: localizing error 0.738 * * * [progress]: generating rewritten candidates 0.738 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.741 * * * [progress]: generating series expansions 0.741 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.742 * [approximate]: Taking taylor expansion of (exp (fma 1/2 (- a b) (- (log 2)))) in (a b) around 0 0.742 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- a b) (- (log 2)))) in b 0.742 * [taylor]: Taking taylor expansion of (fma 1/2 (- a b) (- (log 2))) in b 0.742 * [taylor]: Rewrote expression to (+ (* 1/2 (- a b)) (- (log 2))) 0.742 * [taylor]: Taking taylor expansion of (* 1/2 (- a b)) in b 0.742 * [taylor]: Taking taylor expansion of 1/2 in b 0.743 * [taylor]: Taking taylor expansion of (- a b) in b 0.743 * [taylor]: Taking taylor expansion of a in b 0.743 * [taylor]: Taking taylor expansion of b in b 0.743 * [taylor]: Taking taylor expansion of (- (log 2)) in b 0.743 * [taylor]: Taking taylor expansion of (log 2) in b 0.743 * [taylor]: Taking taylor expansion of 2 in b 0.745 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- a b) (- (log 2)))) in a 0.745 * [taylor]: Taking taylor expansion of (fma 1/2 (- a b) (- (log 2))) in a 0.746 * [taylor]: Rewrote expression to (+ (* 1/2 (- a b)) (- (log 2))) 0.746 * [taylor]: Taking taylor expansion of (* 1/2 (- a b)) in a 0.746 * [taylor]: Taking taylor expansion of 1/2 in a 0.746 * [taylor]: Taking taylor expansion of (- a b) in a 0.746 * [taylor]: Taking taylor expansion of a in a 0.746 * [taylor]: Taking taylor expansion of b in a 0.746 * [taylor]: Taking taylor expansion of (- (log 2)) in a 0.746 * [taylor]: Taking taylor expansion of (log 2) in a 0.746 * [taylor]: Taking taylor expansion of 2 in a 0.748 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- a b) (- (log 2)))) in a 0.748 * [taylor]: Taking taylor expansion of (fma 1/2 (- a b) (- (log 2))) in a 0.749 * [taylor]: Rewrote expression to (+ (* 1/2 (- a b)) (- (log 2))) 0.749 * [taylor]: Taking taylor expansion of (* 1/2 (- a b)) in a 0.749 * [taylor]: Taking taylor expansion of 1/2 in a 0.749 * [taylor]: Taking taylor expansion of (- a b) in a 0.749 * [taylor]: Taking taylor expansion of a in a 0.749 * [taylor]: Taking taylor expansion of b in a 0.749 * [taylor]: Taking taylor expansion of (- (log 2)) in a 0.749 * [taylor]: Taking taylor expansion of (log 2) in a 0.749 * [taylor]: Taking taylor expansion of 2 in a 0.751 * [taylor]: Taking taylor expansion of (exp (- (+ (log 2) (* 1/2 b)))) in b 0.751 * [taylor]: Taking taylor expansion of (- (+ (log 2) (* 1/2 b))) in b 0.751 * [taylor]: Taking taylor expansion of (+ (log 2) (* 1/2 b)) in b 0.751 * [taylor]: Taking taylor expansion of (log 2) in b 0.751 * [taylor]: Taking taylor expansion of 2 in b 0.752 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 0.752 * [taylor]: Taking taylor expansion of 1/2 in b 0.752 * [taylor]: Taking taylor expansion of b in b 0.761 * [taylor]: Taking taylor expansion of (* 1/2 (exp (- (+ (log 2) (* 1/2 b))))) in b 0.761 * [taylor]: Taking taylor expansion of 1/2 in b 0.761 * [taylor]: Taking taylor expansion of (exp (- (+ (log 2) (* 1/2 b)))) in b 0.761 * [taylor]: Taking taylor expansion of (- (+ (log 2) (* 1/2 b))) in b 0.761 * [taylor]: Taking taylor expansion of (+ (log 2) (* 1/2 b)) in b 0.761 * [taylor]: Taking taylor expansion of (log 2) in b 0.761 * [taylor]: Taking taylor expansion of 2 in b 0.762 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 0.762 * [taylor]: Taking taylor expansion of 1/2 in b 0.762 * [taylor]: Taking taylor expansion of b in b 0.784 * [approximate]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2)))) in (a b) around 0 0.784 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2)))) in b 0.784 * [taylor]: Taking taylor expansion of (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2))) in b 0.784 * [taylor]: Rewrote expression to (+ (* 1/2 (- (/ 1 a) (/ 1 b))) (- (log 2))) 0.784 * [taylor]: Taking taylor expansion of (* 1/2 (- (/ 1 a) (/ 1 b))) in b 0.785 * [taylor]: Taking taylor expansion of 1/2 in b 0.785 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.785 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.785 * [taylor]: Taking taylor expansion of a in b 0.785 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.785 * [taylor]: Taking taylor expansion of b in b 0.785 * [taylor]: Taking taylor expansion of (- (log 2)) in b 0.785 * [taylor]: Taking taylor expansion of (log 2) in b 0.785 * [taylor]: Taking taylor expansion of 2 in b 0.788 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2)))) in a 0.788 * [taylor]: Taking taylor expansion of (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2))) in a 0.788 * [taylor]: Rewrote expression to (+ (* 1/2 (- (/ 1 a) (/ 1 b))) (- (log 2))) 0.788 * [taylor]: Taking taylor expansion of (* 1/2 (- (/ 1 a) (/ 1 b))) in a 0.788 * [taylor]: Taking taylor expansion of 1/2 in a 0.788 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.788 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.788 * [taylor]: Taking taylor expansion of a in a 0.789 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.789 * [taylor]: Taking taylor expansion of b in a 0.789 * [taylor]: Taking taylor expansion of (- (log 2)) in a 0.789 * [taylor]: Taking taylor expansion of (log 2) in a 0.789 * [taylor]: Taking taylor expansion of 2 in a 0.791 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2)))) in a 0.791 * [taylor]: Taking taylor expansion of (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2))) in a 0.791 * [taylor]: Rewrote expression to (+ (* 1/2 (- (/ 1 a) (/ 1 b))) (- (log 2))) 0.791 * [taylor]: Taking taylor expansion of (* 1/2 (- (/ 1 a) (/ 1 b))) in a 0.791 * [taylor]: Taking taylor expansion of 1/2 in a 0.791 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.791 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.791 * [taylor]: Taking taylor expansion of a in a 0.792 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.792 * [taylor]: Taking taylor expansion of b in a 0.792 * [taylor]: Taking taylor expansion of (- (log 2)) in a 0.792 * [taylor]: Taking taylor expansion of (log 2) in a 0.792 * [taylor]: Taking taylor expansion of 2 in a 0.794 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2)))) in b 0.794 * [taylor]: Taking taylor expansion of (fma 1/2 (- (/ 1 a) (/ 1 b)) (- (log 2))) in b 0.794 * [taylor]: Rewrote expression to (+ (* 1/2 (- (/ 1 a) (/ 1 b))) (- (log 2))) 0.794 * [taylor]: Taking taylor expansion of (* 1/2 (- (/ 1 a) (/ 1 b))) in b 0.794 * [taylor]: Taking taylor expansion of 1/2 in b 0.794 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.794 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.794 * [taylor]: Taking taylor expansion of a in b 0.795 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.795 * [taylor]: Taking taylor expansion of b in b 0.795 * [taylor]: Taking taylor expansion of (- (log 2)) in b 0.795 * [taylor]: Taking taylor expansion of (log 2) in b 0.795 * [taylor]: Taking taylor expansion of 2 in b 0.797 * [taylor]: Taking taylor expansion of 0 in b 0.797 * [taylor]: Taking taylor expansion of 0 in b 0.797 * [taylor]: Taking taylor expansion of 0 in b 0.799 * [approximate]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2)))) in (a b) around 0 0.799 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2)))) in b 0.799 * [taylor]: Taking taylor expansion of (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2))) in b 0.799 * [taylor]: Rewrote expression to (+ (* 1/2 (- (/ 1 b) (/ 1 a))) (- (log 2))) 0.799 * [taylor]: Taking taylor expansion of (* 1/2 (- (/ 1 b) (/ 1 a))) in b 0.799 * [taylor]: Taking taylor expansion of 1/2 in b 0.799 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.799 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.799 * [taylor]: Taking taylor expansion of b in b 0.799 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.799 * [taylor]: Taking taylor expansion of a in b 0.799 * [taylor]: Taking taylor expansion of (- (log 2)) in b 0.799 * [taylor]: Taking taylor expansion of (log 2) in b 0.799 * [taylor]: Taking taylor expansion of 2 in b 0.801 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2)))) in a 0.801 * [taylor]: Taking taylor expansion of (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2))) in a 0.801 * [taylor]: Rewrote expression to (+ (* 1/2 (- (/ 1 b) (/ 1 a))) (- (log 2))) 0.801 * [taylor]: Taking taylor expansion of (* 1/2 (- (/ 1 b) (/ 1 a))) in a 0.801 * [taylor]: Taking taylor expansion of 1/2 in a 0.801 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.801 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.801 * [taylor]: Taking taylor expansion of b in a 0.801 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.801 * [taylor]: Taking taylor expansion of a in a 0.802 * [taylor]: Taking taylor expansion of (- (log 2)) in a 0.802 * [taylor]: Taking taylor expansion of (log 2) in a 0.802 * [taylor]: Taking taylor expansion of 2 in a 0.803 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2)))) in a 0.803 * [taylor]: Taking taylor expansion of (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2))) in a 0.803 * [taylor]: Rewrote expression to (+ (* 1/2 (- (/ 1 b) (/ 1 a))) (- (log 2))) 0.804 * [taylor]: Taking taylor expansion of (* 1/2 (- (/ 1 b) (/ 1 a))) in a 0.804 * [taylor]: Taking taylor expansion of 1/2 in a 0.804 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.804 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.804 * [taylor]: Taking taylor expansion of b in a 0.804 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.804 * [taylor]: Taking taylor expansion of a in a 0.804 * [taylor]: Taking taylor expansion of (- (log 2)) in a 0.804 * [taylor]: Taking taylor expansion of (log 2) in a 0.804 * [taylor]: Taking taylor expansion of 2 in a 0.806 * [taylor]: Taking taylor expansion of (exp (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2)))) in b 0.806 * [taylor]: Taking taylor expansion of (fma 1/2 (- (/ 1 b) (/ 1 a)) (- (log 2))) in b 0.806 * [taylor]: Rewrote expression to (+ (* 1/2 (- (/ 1 b) (/ 1 a))) (- (log 2))) 0.806 * [taylor]: Taking taylor expansion of (* 1/2 (- (/ 1 b) (/ 1 a))) in b 0.806 * [taylor]: Taking taylor expansion of 1/2 in b 0.806 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.806 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.806 * [taylor]: Taking taylor expansion of b in b 0.806 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.806 * [taylor]: Taking taylor expansion of a in b 0.807 * [taylor]: Taking taylor expansion of (- (log 2)) in b 0.807 * [taylor]: Taking taylor expansion of (log 2) in b 0.807 * [taylor]: Taking taylor expansion of 2 in b 0.809 * [taylor]: Taking taylor expansion of 0 in b 0.809 * [taylor]: Taking taylor expansion of 0 in b 0.809 * [taylor]: Taking taylor expansion of 0 in b 0.810 * * * [progress]: simplifying candidates 0.810 * [simplify]: Simplifying using # : (expm1 (exp (fma 1/2 (- a b) (- 0 (log 2))))) (log1p (exp (fma 1/2 (- a b) (- 0 (log 2))))) (exp (* (cbrt (fma 1/2 (- a b) (- 0 (log 2)))) (cbrt (fma 1/2 (- a b) (- 0 (log 2)))))) (exp (sqrt (fma 1/2 (- a b) (- 0 (log 2))))) (exp 1) (exp (* 1/2 (- a b))) (exp (- 0 (log 2))) (log (exp (fma 1/2 (- a b) (- 0 (log 2))))) (exp (exp (fma 1/2 (- a b) (- 0 (log 2))))) (* (cbrt (exp (fma 1/2 (- a b) (- 0 (log 2))))) (cbrt (exp (fma 1/2 (- a b) (- 0 (log 2)))))) (cbrt (exp (fma 1/2 (- a b) (- 0 (log 2))))) (* (* (exp (fma 1/2 (- a b) (- 0 (log 2)))) (exp (fma 1/2 (- a b) (- 0 (log 2))))) (exp (fma 1/2 (- a b) (- 0 (log 2))))) (sqrt (exp (fma 1/2 (- a b) (- 0 (log 2))))) (sqrt (exp (fma 1/2 (- a b) (- 0 (log 2))))) (- (+ (exp (- (log 2))) (* 1/2 (* (exp (- (log 2))) a))) (* 1/2 (* (exp (- (log 2))) b))) (exp (fma 1/2 (- a b) (- (log 2)))) (exp (fma 1/2 (- a b) (- (log 2)))) 0.813 * * [simplify]: iteration 0 : 69 enodes (cost 118 ) 0.815 * * [simplify]: iteration 1 : 157 enodes (cost 103 ) 0.818 * * [simplify]: iteration 2 : 582 enodes (cost 93 ) 0.828 * * [simplify]: iteration 3 : 2120 enodes (cost 88 ) 0.862 * * [simplify]: iteration 4 : 5001 enodes (cost 87 ) 0.863 * [simplify]: Simplified to: (expm1 (exp (fma 1/2 (- a b) (- 0 (log 2))))) (log1p (exp (fma 1/2 (- a b) (- 0 (log 2))))) (exp (* (cbrt (fma 1/2 (- a b) (- 0 (log 2)))) (cbrt (fma 1/2 (- a b) (- 0 (log 2)))))) (exp (sqrt (fma 1/2 (- a b) (- 0 (log 2))))) E (exp (* 1/2 (- a b))) 1/2 (fma 1/2 (- a b) (- 0 (log 2))) (sqrt (exp (exp (* 1/2 (- a b))))) (* (cbrt (exp (fma 1/2 (- a b) (- 0 (log 2))))) (cbrt (exp (fma 1/2 (- a b) (- 0 (log 2)))))) (cbrt (exp (fma 1/2 (- a b) (- 0 (log 2))))) (/ (pow (exp (- a b)) 3/2) 8) (sqrt (exp (fma 1/2 (- a b) (- 0 (log 2))))) (sqrt (exp (fma 1/2 (- a b) (- 0 (log 2))))) (fma (- a b) 1/4 1/2) (/ (exp (fma (- a b) 1/2 0)) 2) (/ (exp (fma (- a b) 1/2 0)) 2) 0.863 * * * [progress]: adding candidates to table 0.900 * [progress]: [Phase 3 of 3] Extracting. 0.900 * * [regime]: Finding splitpoints for: (# #) 0.901 * * * [regime-changes]: Trying 5 branch expressions: ((exp b) (exp a) (/ (exp a) (+ (exp a) (exp b))) b a) 0.901 * * * * [regimes]: Trying to branch on (exp b) from (# #) 0.913 * * * * [regimes]: Trying to branch on (exp a) from (# #) 0.925 * * * * [regimes]: Trying to branch on (/ (exp a) (+ (exp a) (exp b))) from (# #) 0.945 * * * * [regimes]: Trying to branch on b from (# #) 0.956 * * * * [regimes]: Trying to branch on a from (# #) 0.968 * * * [regime]: Found split indices: #