0.809 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 1.077 * * * [progress]: [2/2] Setting up program. 1.081 * [progress]: [Phase 2 of 3] Improving. 1.084 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.089 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.091 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.092 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.094 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.096 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.102 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.129 * * [simplify]: iteration 6 : 5001 enodes (cost 6 ) 1.130 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.132 * * [progress]: iteration 1 / 4 1.132 * * * [progress]: picking best candidate 1.135 * * * * [pick]: Picked # 1.135 * * * [progress]: localizing error 1.147 * * * [progress]: generating rewritten candidates 1.147 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.148 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.150 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.153 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.163 * * * [progress]: generating series expansions 1.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.167 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.168 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.169 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.170 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.170 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.170 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.171 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.171 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.171 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.172 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.172 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.172 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.172 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.173 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.173 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.173 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.174 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.174 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.174 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.175 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.175 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.175 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.175 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.175 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.175 * [taylor]: Taking taylor expansion of (log1p a) in a 1.175 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.175 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.176 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.176 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.176 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.176 * [taylor]: Taking taylor expansion of (log1p a) in a 1.176 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.176 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.210 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.210 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.210 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.210 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.210 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.211 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.211 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.211 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.211 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.211 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.211 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.211 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.211 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.246 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.246 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.246 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.246 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.246 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.246 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.246 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.246 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.246 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.246 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.246 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.247 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.247 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.287 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.287 * [approximate]: Taking taylor expansion of (cosh a) in (a) around 0 1.287 * [taylor]: Taking taylor expansion of (cosh a) in a 1.288 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.288 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.288 * [taylor]: Taking taylor expansion of (exp a) in a 1.288 * [taylor]: Taking taylor expansion of a in a 1.288 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.288 * [taylor]: Taking taylor expansion of (- a) in a 1.288 * [taylor]: Taking taylor expansion of a in a 1.288 * [taylor]: Taking taylor expansion of 2 in a 1.289 * [taylor]: Taking taylor expansion of (cosh a) in a 1.289 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.289 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.289 * [taylor]: Taking taylor expansion of (exp a) in a 1.289 * [taylor]: Taking taylor expansion of a in a 1.289 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.289 * [taylor]: Taking taylor expansion of (- a) in a 1.289 * [taylor]: Taking taylor expansion of a in a 1.290 * [taylor]: Taking taylor expansion of 2 in a 1.308 * [approximate]: Taking taylor expansion of (cosh (/ 1 a)) in (a) around 0 1.308 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.308 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.308 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.308 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.308 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.308 * [taylor]: Taking taylor expansion of a in a 1.308 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.308 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.308 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.309 * [taylor]: Taking taylor expansion of a in a 1.309 * [taylor]: Taking taylor expansion of 2 in a 1.309 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.309 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.309 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.310 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.310 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.310 * [taylor]: Taking taylor expansion of a in a 1.310 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.310 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.310 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.310 * [taylor]: Taking taylor expansion of a in a 1.310 * [taylor]: Taking taylor expansion of 2 in a 1.320 * [approximate]: Taking taylor expansion of (cosh (/ -1 a)) in (a) around 0 1.320 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.320 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.320 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.320 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.320 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.321 * [taylor]: Taking taylor expansion of -1 in a 1.321 * [taylor]: Taking taylor expansion of a in a 1.321 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.321 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.321 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.321 * [taylor]: Taking taylor expansion of -1 in a 1.321 * [taylor]: Taking taylor expansion of a in a 1.321 * [taylor]: Taking taylor expansion of 2 in a 1.322 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.322 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.322 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.322 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.322 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.322 * [taylor]: Taking taylor expansion of -1 in a 1.322 * [taylor]: Taking taylor expansion of a in a 1.322 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.322 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.322 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.322 * [taylor]: Taking taylor expansion of -1 in a 1.322 * [taylor]: Taking taylor expansion of a in a 1.323 * [taylor]: Taking taylor expansion of 2 in a 1.332 * * * [progress]: simplifying candidates 1.333 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (* (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (pow (fmod (cosh a) (* a a)) 1) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (* (* (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (+ (exp a) (exp (- a))) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (* (* (cosh a) (cosh a)) (cosh a)) (sqrt (cosh a)) (sqrt (cosh a)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (* 1/2 (+ (exp (- a)) (exp a))) (* 1/2 (+ (exp (* -1 a)) (exp a))) 1.337 * * [simplify]: iteration 0 : 140 enodes (cost 331 ) 1.340 * * [simplify]: iteration 1 : 420 enodes (cost 302 ) 1.348 * * [simplify]: iteration 2 : 1559 enodes (cost 292 ) 1.388 * * [simplify]: iteration 3 : 5002 enodes (cost 292 ) 1.390 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (pow (fmod (cosh a) (* a a)) 1/2) (pow (fmod (cosh a) (* a a)) 1/2) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p a) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (fmod (cosh a) (* a a)) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (pow a 2)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (pow (fmod (cosh a) (pow a 2)) (log1p a)) 3) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (* 2 (cosh a)) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (pow (cosh a) 3) (sqrt (cosh a)) (sqrt (cosh a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (cosh a) (cosh a) 1.391 * * * [progress]: adding candidates to table 1.519 * * [progress]: iteration 2 / 4 1.519 * * * [progress]: picking best candidate 1.546 * * * * [pick]: Picked # 1.546 * * * [progress]: localizing error 1.557 * * * [progress]: generating rewritten candidates 1.557 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.558 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.560 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.561 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.566 * * * [progress]: generating series expansions 1.566 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.566 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.566 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.566 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.567 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.567 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.567 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.567 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.567 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.567 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.568 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.568 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.568 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.568 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.569 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.569 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.569 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.569 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.569 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.569 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.570 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.570 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.570 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.570 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.571 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.571 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.571 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.572 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.572 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.572 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.573 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.573 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.573 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.573 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.573 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.573 * [taylor]: Taking taylor expansion of (log1p a) in a 1.573 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.573 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.574 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.574 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.574 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.574 * [taylor]: Taking taylor expansion of (log1p a) in a 1.574 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.574 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.610 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.610 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.610 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.610 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.610 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.610 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.610 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.610 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.610 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.610 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.610 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.610 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.610 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.648 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.648 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.648 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.648 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.648 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.648 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.648 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.648 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.648 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.648 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.648 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.649 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.649 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.684 * * * [progress]: simplifying candidates 1.685 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (* (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (* 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) 1) (pow 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (log (exp 1)) (log1p a)) (pow (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (log1p a)) (pow (cbrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (log (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (* (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (sqrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (sqrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) (/ (log1p a) 2)) (pow (log (exp (fmod (cosh a) (* a a)))) (/ (log1p a) 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) 1.689 * * [simplify]: iteration 0 : 135 enodes (cost 479 ) 1.692 * * [simplify]: iteration 1 : 312 enodes (cost 424 ) 1.696 * * [simplify]: iteration 2 : 956 enodes (cost 424 ) 1.719 * * [simplify]: iteration 3 : 4680 enodes (cost 420 ) 1.875 * * [simplify]: iteration 4 : 5001 enodes (cost 420 ) 1.878 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (log1p a) (log (fmod (cosh a) (* a a)))) (* (log1p a) (log (fmod (cosh a) (* a a)))) (log1p a) (pow (log (exp (fmod (cosh a) (* a a)))) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (fmod (cosh a) (* a a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) 1 (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (* (log1p a) (log (fmod (cosh a) (* a a)))) (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (pow (fmod (cosh a) (* a a)) (log1p a)) 3) (fabs (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2))) (fabs (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) 1.878 * * * [progress]: adding candidates to table 2.022 * * [progress]: iteration 3 / 4 2.022 * * * [progress]: picking best candidate 2.048 * * * * [pick]: Picked # 2.048 * * * [progress]: localizing error 2.065 * * * [progress]: generating rewritten candidates 2.065 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1 1) 2.066 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 2.067 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 2.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 2.070 * * * [progress]: generating series expansions 2.070 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1 1) 2.070 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.070 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.070 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.071 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.071 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.071 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.072 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.072 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.072 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.072 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 1 1) 2.072 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.072 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.072 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.073 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.073 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.073 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.073 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.073 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.073 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.074 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1 1) 2.074 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.074 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.074 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.074 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.075 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.075 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.075 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.075 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.075 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 2.076 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.076 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.076 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.077 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.077 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.077 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.077 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.077 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.077 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.078 * * * [progress]: simplifying candidates 2.079 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.081 * * [simplify]: iteration 0 : 52 enodes (cost 246 ) 2.083 * * [simplify]: iteration 1 : 75 enodes (cost 212 ) 2.085 * * [simplify]: iteration 2 : 157 enodes (cost 212 ) 2.088 * * [simplify]: iteration 3 : 405 enodes (cost 212 ) 2.099 * * [simplify]: iteration 4 : 1946 enodes (cost 212 ) 2.158 * * [simplify]: iteration 5 : 5003 enodes (cost 212 ) 2.159 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) 2.160 * * * [progress]: adding candidates to table 2.342 * * [progress]: iteration 4 / 4 2.342 * * * [progress]: picking best candidate 2.370 * * * * [pick]: Picked # 2.370 * * * [progress]: localizing error 2.394 * * * [progress]: generating rewritten candidates 2.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 1 1 1) 2.394 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 1 1 1) 2.395 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 2.396 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 2.397 * * * [progress]: generating series expansions 2.397 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 1 1 1) 2.397 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.397 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.397 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.398 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.398 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.398 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.398 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.398 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.398 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 1 1 1) 2.399 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.399 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.399 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.400 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.400 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.400 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.400 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.400 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.400 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.401 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1 1) 2.401 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.401 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.401 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.401 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.401 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.401 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.402 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.402 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.402 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.403 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1) 2.403 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.403 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.403 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.403 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.403 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.403 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.404 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.404 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.404 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.405 * * * [progress]: simplifying candidates 2.406 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.408 * * [simplify]: iteration 0 : 23 enodes (cost 196 ) 2.410 * * [simplify]: iteration 1 : 40 enodes (cost 168 ) 2.411 * * [simplify]: iteration 2 : 92 enodes (cost 168 ) 2.414 * * [simplify]: iteration 3 : 228 enodes (cost 168 ) 2.421 * * [simplify]: iteration 4 : 1044 enodes (cost 168 ) 2.462 * * [simplify]: iteration 5 : 5001 enodes (cost 168 ) 2.463 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.464 * * * [progress]: adding candidates to table 2.688 * [progress]: [Phase 3 of 3] Extracting. 2.688 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.692 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 2.692 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # #) 2.739 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # #) 2.771 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # #) 2.821 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 2.861 * * * [regime]: Found split indices: #