23.471 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (/ (exp a) (+ (exp a) (exp b))) 0.025 * * [simplify]: iteration 0 : 7 enodes (cost 5 ) 0.026 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.026 * [simplify]: Simplified to: (/ (exp a) (+ (exp a) (exp b))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.052 * [approximate]: Approximating (/ (exp a) (+ (exp b) (exp a))) in (a b) around 0 0.053 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in b 0.056 * [taylor]: Taking taylor expansion of (/ (exp a) (+ (exp b) (exp a))) in b 0.060 * [approximate]: Approximating (/ (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 0.065 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.069 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.073 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.074 * [approximate]: Approximating (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in (a b) around 0 0.076 * [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)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.082 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.086 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.087 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.087 * [approximate]: Approximating (+ (exp b) (exp a)) in (a b) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.089 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.090 * [approximate]: Approximating (+ (exp (/ 1 b)) (exp (/ 1 a))) in (a b) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.093 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.095 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.098 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.098 * [approximate]: Approximating (+ (exp (/ -1 b)) (exp (/ -1 a))) in (a b) around 0 0.100 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.102 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.104 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.107 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.107 * * * [progress]: simplifying candidates 0.108 * [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)))) (neg (exp a)) (neg (+ (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)))) (* (exp (exp a)) (exp (exp b))) (log (+ (exp a) (exp b))) (exp (+ (exp a) (exp b))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (cbrt (+ (exp a) (exp b))) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))) (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (- (* (exp a) (exp a)) (* (exp b) (exp b))) (- (exp a) (exp b)) (+ (exp a) (exp b)) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a))) (+ a (+ b 2)) (+ (exp b) (exp a)) (+ (exp b) (exp a)) 0.112 * * [simplify]: iteration 0 : 163 enodes (cost 384 ) 0.115 * * [simplify]: iteration 1 : 486 enodes (cost 357 ) 0.121 * * [simplify]: iteration 2 : 1209 enodes (cost 355 ) 0.141 * * [simplify]: iteration 3 : 4128 enodes (cost 355 ) 0.197 * * [simplify]: iteration 4 : 5002 enodes (cost 355 ) 0.200 * [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)))) (neg (exp a)) (neg (+ (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)) (neg (exp (+ b b))))) (exp (+ (exp a) (exp b))) (log (+ (exp a) (exp b))) (exp (+ (exp a) (exp b))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (cbrt (+ (exp a) (exp b))) (pow (+ (exp a) (exp b)) 3) (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))) (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (exp (+ a a)) (exp (+ b b))) (exp (+ a b))) (+ (exp (+ a a)) (neg (exp (+ b b)))) (- (exp a) (exp b)) (+ (exp a) (exp b)) (+ (* 1/4 (- a b)) 1/2) (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a))) (+ a (+ b 2)) (+ (exp a) (exp b)) (+ (exp a) (exp b)) 0.200 * * * [progress]: adding candidates to table 0.298 * * [progress]: iteration 2 / 4 0.298 * * * [progress]: picking best candidate 0.308 * * * * [pick]: Picked # 0.308 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.322 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.328 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.334 * [approximate]: Approximating (log (+ (exp b) (exp a))) in (a b) around 0 0.334 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in b 0.338 * [taylor]: Taking taylor expansion of (log (+ (exp b) (exp a))) in b 0.344 * [approximate]: Approximating (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in (a b) around 0 0.345 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.348 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.352 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.358 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b 0.359 * [approximate]: Approximating (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in (a b) around 0 0.360 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.363 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.367 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.374 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b 0.374 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.374 * [approximate]: Approximating (- a (log (+ (exp b) (exp a)))) in (a b) around 0 0.375 * [taylor]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in b 0.379 * [taylor]: Taking taylor expansion of (- a (log (+ (exp b) (exp a)))) in b 0.383 * [approximate]: Approximating (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in (a b) around 0 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b 0.397 * [approximate]: Approximating (neg (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in (a b) around 0 0.400 * [taylor]: Taking taylor expansion of (neg (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in b 0.401 * [taylor]: Taking taylor expansion of (neg (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in b 0.405 * [taylor]: Taking taylor expansion of (neg (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in b 0.411 * [taylor]: Taking taylor expansion of (neg (+ (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 1 a))) in b 0.411 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.411 * [approximate]: Approximating (+ (exp b) (exp a)) in (a b) around 0 0.411 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.413 * [taylor]: Taking taylor expansion of (+ (exp b) (exp a)) in b 0.414 * [approximate]: Approximating (+ (exp (/ 1 b)) (exp (/ 1 a))) in (a b) around 0 0.416 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.417 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.420 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.426 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b 0.426 * [approximate]: Approximating (+ (exp (/ -1 b)) (exp (/ -1 a))) in (a b) around 0 0.428 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.429 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.432 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.434 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b 0.435 * * * [progress]: simplifying candidates 0.435 * [simplify]: Simplifying using # : (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)))) (/ (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)))))) (neg (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))))) (neg (log (+ (exp a) (exp b)))) (* (exp (exp a)) (exp (exp b))) (log (+ (exp a) (exp b))) (exp (+ (exp a) (exp b))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (cbrt (+ (exp a) (exp b))) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))) (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (- (* (exp a) (exp a)) (* (exp b) (exp b))) (- (exp a) (exp b)) (+ (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)))) (+ a (+ b 2)) (+ (exp b) (exp a)) (+ (exp b) (exp a)) 0.439 * * [simplify]: iteration 0 : 178 enodes (cost 383 ) 0.442 * * [simplify]: iteration 1 : 403 enodes (cost 359 ) 0.447 * * [simplify]: iteration 2 : 765 enodes (cost 354 ) 0.457 * * [simplify]: iteration 3 : 2150 enodes (cost 350 ) 0.490 * * [simplify]: iteration 4 : 5001 enodes (cost 350 ) 0.492 * [simplify]: Simplified to: (* 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 b) (exp a))) 0 (log (+ (exp b) (exp a))) (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 b) (exp a))) (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)))) (/ (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 b) (exp a)))) 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)) (+ (* (log (+ (exp a) (exp b))) (+ (log (+ (exp a) (exp b))) a)) (* a a)) (neg (log (+ (exp b) (exp a)))) (- (* 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 b) (exp a)))) (- a (log (+ (exp b) (exp a)))) (+ (* -2 (log (cbrt (+ (exp a) (exp b))))) a) (- 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))))) (neg (log (+ (exp b) (exp a)))) (exp (+ (exp a) (exp b))) (log (+ (exp b) (exp a))) (exp (+ (exp a) (exp b))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (cbrt (+ (exp a) (exp b))) (pow (+ (exp a) (exp b)) 3) (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))) (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (exp (+ a a)) (exp (+ b b))) (exp (+ a b))) (+ (exp (+ a a)) (neg (exp (+ b b)))) (- (exp a) (exp b)) (+ (exp a) (exp b)) (+ (log 2) (* 1/2 (+ a 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)))) (+ a (+ b 2)) (+ (exp a) (exp b)) (+ (exp a) (exp b)) 0.492 * * * [progress]: adding candidates to table 0.683 * * [progress]: iteration 3 / 4 0.683 * * * [progress]: picking best candidate 0.689 * * * * [pick]: Picked # 0.689 * * * [progress]: localizing error 0.695 * * * [progress]: generating rewritten candidates 0.695 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.703 * * * [progress]: generating series expansions 0.703 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.704 * [approximate]: Approximating (/ (exp a) (+ a (+ b 2))) in (a b) around 0 0.704 * [taylor]: Taking taylor expansion of (/ (exp a) (+ a (+ b 2))) in b 0.707 * [taylor]: Taking taylor expansion of (/ (exp a) (+ a (+ b 2))) in b 0.710 * [approximate]: Approximating (/ (exp (/ 1 a)) (+ (/ 1 b) (+ (/ 1 a) 2))) in (a b) around 0 0.714 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (/ 1 b) (+ (/ 1 a) 2))) in b 0.716 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (/ 1 b) (+ (/ 1 a) 2))) in b 0.725 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (/ 1 b) (+ (/ 1 a) 2))) in b 0.745 * [approximate]: Approximating (/ (exp (/ -1 a)) (- 2 (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 0.750 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (- 2 (+ (/ 1 b) (/ 1 a)))) in b 0.755 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (- 2 (+ (/ 1 b) (/ 1 a)))) in b 0.765 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 a)) (- 2 (+ (/ 1 b) (/ 1 a)))) in b 0.787 * * * [progress]: simplifying candidates 0.787 * [simplify]: Simplifying using # : (- a (log (+ a (+ b 2)))) (log (/ (exp a) (+ a (+ b 2)))) (exp (/ (exp a) (+ a (+ b 2)))) (/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ a (+ b 2)) (+ a (+ b 2))) (+ a (+ b 2)))) (* (cbrt (/ (exp a) (+ a (+ b 2)))) (cbrt (/ (exp a) (+ a (+ b 2))))) (cbrt (/ (exp a) (+ a (+ b 2)))) (* (* (/ (exp a) (+ a (+ b 2))) (/ (exp a) (+ a (+ b 2)))) (/ (exp a) (+ a (+ b 2)))) (sqrt (/ (exp a) (+ a (+ b 2)))) (sqrt (/ (exp a) (+ a (+ b 2)))) (neg (exp a)) (neg (+ a (+ b 2))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ a (+ b 2))) (cbrt (+ a (+ b 2))))) (/ (cbrt (exp a)) (cbrt (+ a (+ b 2)))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ a (+ b 2)))) (/ (cbrt (exp a)) (sqrt (+ a (+ b 2)))) (/ (* (cbrt (exp a)) (cbrt (exp a))) 1) (/ (cbrt (exp a)) (+ a (+ b 2))) (/ (* (cbrt (exp a)) (cbrt (exp a))) 1) (/ (cbrt (exp a)) (+ a (+ b 2))) (/ (* (cbrt (exp a)) (cbrt (exp a))) 1) (/ (cbrt (exp a)) (+ a (+ b 2))) (/ (sqrt (exp a)) (* (cbrt (+ a (+ b 2))) (cbrt (+ a (+ b 2))))) (/ (sqrt (exp a)) (cbrt (+ a (+ b 2)))) (/ (sqrt (exp a)) (sqrt (+ a (+ b 2)))) (/ (sqrt (exp a)) (sqrt (+ a (+ b 2)))) (/ (sqrt (exp a)) 1) (/ (sqrt (exp a)) (+ a (+ b 2))) (/ (sqrt (exp a)) 1) (/ (sqrt (exp a)) (+ a (+ b 2))) (/ (sqrt (exp a)) 1) (/ (sqrt (exp a)) (+ a (+ b 2))) (/ 1 (* (cbrt (+ a (+ b 2))) (cbrt (+ a (+ b 2))))) (/ (exp a) (cbrt (+ a (+ b 2)))) (/ 1 (sqrt (+ a (+ b 2)))) (/ (exp a) (sqrt (+ a (+ b 2)))) (/ 1 1) (/ (exp a) (+ a (+ b 2))) (/ 1 1) (/ (exp a) (+ a (+ b 2))) (/ 1 1) (/ (exp a) (+ a (+ b 2))) (/ 1 (+ a (+ b 2))) (/ (+ a (+ b 2)) (exp a)) (/ (exp a) (* (cbrt (+ a (+ b 2))) (cbrt (+ a (+ b 2))))) (/ (exp a) (sqrt (+ a (+ b 2)))) (/ (exp a) 1) (/ (exp a) 1) (/ (exp a) 1) (/ (+ a (+ b 2)) (cbrt (exp a))) (/ (+ a (+ b 2)) (sqrt (exp a))) (/ (+ a (+ b 2)) (exp a)) (/ (exp a) (+ (pow a 3) (pow (+ b 2) 3))) (/ (exp a) (- (* a a) (* (+ b 2) (+ b 2)))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) 0 0 0.791 * * [simplify]: iteration 0 : 149 enodes (cost 274 ) 0.794 * * [simplify]: iteration 1 : 476 enodes (cost 256 ) 0.802 * * [simplify]: iteration 2 : 1808 enodes (cost 255 ) 0.829 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 0.831 * [simplify]: Simplified to: (- a (log (+ a (+ b 2)))) (- a (log (+ a (+ b 2)))) (exp (/ (exp a) (+ a (+ b 2)))) (pow (/ (exp a) (+ a (+ b 2))) 3) (* (cbrt (/ (exp a) (+ a (+ b 2)))) (cbrt (/ (exp a) (+ a (+ b 2))))) (cbrt (/ (exp a) (+ a (+ b 2)))) (pow (/ (exp a) (+ a (+ b 2))) 3) (sqrt (/ (exp a) (+ a (+ b 2)))) (sqrt (/ (exp a) (+ a (+ b 2)))) (neg (exp a)) (neg (+ a (+ b 2))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ a (+ b 2))) (cbrt (+ a (+ b 2))))) (/ (cbrt (exp a)) (cbrt (+ a (+ b 2)))) (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ a (+ b 2)))) (/ (cbrt (exp a)) (sqrt (+ a (+ b 2)))) (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ a (+ b 2))) (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ a (+ b 2))) (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ a (+ b 2))) (/ (sqrt (exp a)) (* (cbrt (+ a (+ b 2))) (cbrt (+ a (+ b 2))))) (/ (sqrt (exp a)) (cbrt (+ a (+ b 2)))) (/ (sqrt (exp a)) (sqrt (+ a (+ b 2)))) (/ (sqrt (exp a)) (sqrt (+ a (+ b 2)))) (sqrt (exp a)) (/ (sqrt (exp a)) (+ a (+ b 2))) (sqrt (exp a)) (/ (sqrt (exp a)) (+ a (+ b 2))) (sqrt (exp a)) (/ (sqrt (exp a)) (+ a (+ b 2))) (/ 1 (* (cbrt (+ a (+ b 2))) (cbrt (+ a (+ b 2))))) (/ (exp a) (cbrt (+ a (+ b 2)))) (/ 1 (sqrt (+ a (+ b 2)))) (/ (exp a) (sqrt (+ a (+ b 2)))) 1 (/ (exp a) (+ a (+ b 2))) 1 (/ (exp a) (+ a (+ b 2))) 1 (/ (exp a) (+ a (+ b 2))) (/ 1 (+ a (+ b 2))) (/ (+ a (+ b 2)) (exp a)) (/ (exp a) (* (cbrt (+ a (+ b 2))) (cbrt (+ a (+ b 2))))) (/ (exp a) (sqrt (+ a (+ b 2)))) (exp a) (exp a) (exp a) (/ (+ a (+ b 2)) (cbrt (exp a))) (/ (+ a (+ b 2)) (sqrt (exp a))) (/ (+ a (+ b 2)) (exp a)) (/ (exp a) (+ (pow a 3) (pow (+ b 2) 3))) (/ (exp a) (- (* a a) (* (+ b 2) (+ b 2)))) (+ (* 1/4 (- a b)) 1/2) 0 0 0.831 * * * [progress]: adding candidates to table 0.885 * * [progress]: iteration 4 / 4 0.885 * * * [progress]: picking best candidate 0.888 * * * * [pick]: Picked # 0.888 * * * [progress]: localizing error 0.893 * * * [progress]: generating rewritten candidates 0.894 * * * [progress]: generating series expansions 0.894 * * * [progress]: simplifying candidates 0.894 * [simplify]: Simplifying using # : 0.896 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.896 * [simplify]: Simplified to: 0.896 * * * [progress]: adding candidates to table 0.896 * [progress]: [Phase 3 of 3] Extracting. 0.896 * * [regime]: Finding splitpoints for: (# # #) 0.896 * * * [regime-changes]: Trying 3 branch expressions: ((exp b) b a) 0.896 * * * * [regimes]: Trying to branch on (exp b) from (# # #) 0.932 * * * * [regimes]: Trying to branch on b from (# # #) 0.969 * * * * [regimes]: Trying to branch on a from (# # #) 1.009 * * * [regime]: Found split indices: #