0.795 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 1.032 * * * [progress]: [2/2] Setting up program. 1.037 * [progress]: [Phase 2 of 3] Improving. 1.039 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.043 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.044 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.045 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.047 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.049 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.055 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.083 * * [simplify]: iteration 6 : 5002 enodes (cost 6 ) 1.084 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.085 * * [progress]: iteration 1 / 4 1.085 * * * [progress]: picking best candidate 1.088 * * * * [pick]: Picked # 1.088 * * * [progress]: localizing error 1.101 * * * [progress]: generating rewritten candidates 1.101 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.102 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.103 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.105 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.108 * * * [progress]: generating series expansions 1.108 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.112 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.113 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.114 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.115 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.115 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.115 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.116 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.116 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.116 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.117 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.117 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.117 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.117 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.117 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.118 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.118 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.119 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.119 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.119 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.119 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.120 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.120 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.120 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.120 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.120 * [taylor]: Taking taylor expansion of (log1p a) in a 1.120 * [taylor]: Rewrote expression to (log (+ 1 a)) 1.120 * [taylor]: Taking taylor expansion of (+ 1 a) in a 1.120 * [taylor]: Taking taylor expansion of 1 in a 1.120 * [taylor]: Taking taylor expansion of a in a 1.121 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.121 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.124 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.124 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.124 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.124 * [taylor]: Taking taylor expansion of (log1p a) in a 1.124 * [taylor]: Rewrote expression to (log (+ 1 a)) 1.124 * [taylor]: Taking taylor expansion of (+ 1 a) in a 1.124 * [taylor]: Taking taylor expansion of 1 in a 1.124 * [taylor]: Taking taylor expansion of a in a 1.125 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.125 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.141 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.141 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.141 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.141 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.141 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.141 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 1.141 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 1.141 * [taylor]: Taking taylor expansion of 1 in a 1.141 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.141 * [taylor]: Taking taylor expansion of a in a 1.143 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.143 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.143 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.143 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.144 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.144 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.144 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 1.144 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 1.144 * [taylor]: Taking taylor expansion of 1 in a 1.144 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.144 * [taylor]: Taking taylor expansion of a in a 1.144 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.144 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.156 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.156 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.156 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.156 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.156 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.156 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 1.156 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 1.156 * [taylor]: Taking taylor expansion of 1 in a 1.156 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.156 * [taylor]: Taking taylor expansion of -1 in a 1.156 * [taylor]: Taking taylor expansion of a in a 1.157 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.157 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.159 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.159 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.159 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.159 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.159 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 1.159 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 1.159 * [taylor]: Taking taylor expansion of 1 in a 1.159 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.159 * [taylor]: Taking taylor expansion of -1 in a 1.159 * [taylor]: Taking taylor expansion of a in a 1.160 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.160 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.176 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.176 * [approximate]: Taking taylor expansion of (cosh a) in (a) around 0 1.176 * [taylor]: Taking taylor expansion of (cosh a) in a 1.176 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.176 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.176 * [taylor]: Taking taylor expansion of (exp a) in a 1.176 * [taylor]: Taking taylor expansion of a in a 1.176 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.176 * [taylor]: Taking taylor expansion of (- a) in a 1.176 * [taylor]: Taking taylor expansion of a in a 1.177 * [taylor]: Taking taylor expansion of 2 in a 1.177 * [taylor]: Taking taylor expansion of (cosh a) in a 1.177 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.177 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.177 * [taylor]: Taking taylor expansion of (exp a) in a 1.177 * [taylor]: Taking taylor expansion of a in a 1.177 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.177 * [taylor]: Taking taylor expansion of (- a) in a 1.177 * [taylor]: Taking taylor expansion of a in a 1.178 * [taylor]: Taking taylor expansion of 2 in a 1.195 * [approximate]: Taking taylor expansion of (cosh (/ 1 a)) in (a) around 0 1.195 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.195 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.195 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.195 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.195 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.195 * [taylor]: Taking taylor expansion of a in a 1.196 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.196 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.196 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.196 * [taylor]: Taking taylor expansion of a in a 1.196 * [taylor]: Taking taylor expansion of 2 in a 1.197 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.197 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.197 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.197 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.197 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.197 * [taylor]: Taking taylor expansion of a in a 1.197 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.197 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.197 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.197 * [taylor]: Taking taylor expansion of a in a 1.198 * [taylor]: Taking taylor expansion of 2 in a 1.208 * [approximate]: Taking taylor expansion of (cosh (/ -1 a)) in (a) around 0 1.208 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.208 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.208 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.208 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.209 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.209 * [taylor]: Taking taylor expansion of -1 in a 1.209 * [taylor]: Taking taylor expansion of a in a 1.209 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.209 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.209 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.209 * [taylor]: Taking taylor expansion of -1 in a 1.209 * [taylor]: Taking taylor expansion of a in a 1.210 * [taylor]: Taking taylor expansion of 2 in a 1.210 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.210 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.210 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.210 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.210 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.210 * [taylor]: Taking taylor expansion of -1 in a 1.210 * [taylor]: Taking taylor expansion of a in a 1.210 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.210 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.210 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.210 * [taylor]: Taking taylor expansion of -1 in a 1.210 * [taylor]: Taking taylor expansion of a in a 1.211 * [taylor]: Taking taylor expansion of 2 in a 1.221 * * * [progress]: simplifying candidates 1.223 * [simplify]: Simplifying using # : (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (* a a)) (log1p 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)))) (expm1 (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p (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)) (expm1 (cosh a)) (log1p (cosh a)) (+ (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))) (- (+ (* 1/2 (* (pow a 2) (pow (log (fmod (cosh a) (pow a 2))) 2))) (+ (* a (log (fmod (cosh a) (pow a 2)))) 1)) (* 1/2 (* (pow a 2) (log (fmod (cosh a) (pow a 2)))))) (- (+ (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (+ (* 1/2 (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (pow (log (fmod (cosh a) (pow a 2))) 2)) (pow a 2))) (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (log (fmod (cosh a) (pow a 2)))) a))) (* 1/2 (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (log (fmod (cosh a) (pow a 2)))) (pow a 2)))) (- (+ (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (+ (* 1/2 (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (pow (log (fmod (cosh a) (pow a 2))) 2)) (pow a 2))) (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) a))) (* 1/2 (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) (pow a 2)))) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (* 1/2 (+ (exp (- a)) (exp a))) (* 1/2 (+ (exp (* -1 a)) (exp a))) 1.230 * * [simplify]: iteration 0 : 269 enodes (cost 492 ) 1.235 * * [simplify]: iteration 1 : 996 enodes (cost 462 ) 1.256 * * [simplify]: iteration 2 : 4603 enodes (cost 442 ) 1.369 * * [simplify]: iteration 3 : 5001 enodes (cost 442 ) 1.372 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (pow a 2))) (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) (expm1 (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (* a a)) (log1p 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)))) (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)))) (expm1 (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p (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)) (expm1 (cosh a)) (log1p (cosh a)) (* 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))) (+ (fma (* 1/2 (pow a 2)) (pow (log (fmod (cosh a) (pow a 2))) 2) 1) (* (log (fmod (cosh a) (pow a 2))) (- a (* 1/2 (pow a 2))))) (+ (+ (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) a)) (* (/ 1/2 a) (- (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (pow (log (fmod (cosh a) (pow a 2))) 2)) a) (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) a)))) (+ (+ (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) a)) (* (/ 1/2 a) (- (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (pow (log (fmod (cosh a) (pow a 2))) 2)) a) (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) a)))) (fma 1/2 (pow a 2) (fma 1/24 (pow a 4) 1)) (cosh a) (cosh a) 1.373 * * * [progress]: adding candidates to table 1.558 * * [progress]: iteration 2 / 4 1.558 * * * [progress]: picking best candidate 1.582 * * * * [pick]: Picked # 1.583 * * * [progress]: localizing error 1.596 * * * [progress]: generating rewritten candidates 1.596 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.597 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.598 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.602 * * * [progress]: generating series expansions 1.602 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.602 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.602 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.602 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.602 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.602 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.603 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.603 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.603 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.603 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.604 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.604 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.604 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.604 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.604 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.604 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.604 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.605 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.605 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.605 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.606 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.606 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.606 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.606 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.607 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.607 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.607 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.608 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.608 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.608 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.609 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.609 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.609 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.609 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.609 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.609 * [taylor]: Taking taylor expansion of (log1p a) in a 1.609 * [taylor]: Rewrote expression to (log (+ 1 a)) 1.609 * [taylor]: Taking taylor expansion of (+ 1 a) in a 1.609 * [taylor]: Taking taylor expansion of 1 in a 1.609 * [taylor]: Taking taylor expansion of a in a 1.610 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.610 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.612 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.612 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.612 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.612 * [taylor]: Taking taylor expansion of (log1p a) in a 1.612 * [taylor]: Rewrote expression to (log (+ 1 a)) 1.612 * [taylor]: Taking taylor expansion of (+ 1 a) in a 1.612 * [taylor]: Taking taylor expansion of 1 in a 1.612 * [taylor]: Taking taylor expansion of a in a 1.613 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.613 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.620 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.620 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.620 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.620 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.620 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.620 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 1.620 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 1.620 * [taylor]: Taking taylor expansion of 1 in a 1.620 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.620 * [taylor]: Taking taylor expansion of a in a 1.621 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.621 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.622 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.622 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.622 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.622 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.622 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 1.622 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 1.622 * [taylor]: Taking taylor expansion of 1 in a 1.622 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.622 * [taylor]: Taking taylor expansion of a in a 1.623 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.623 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.634 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.634 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.634 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.634 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.634 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.634 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 1.634 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 1.634 * [taylor]: Taking taylor expansion of 1 in a 1.634 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.634 * [taylor]: Taking taylor expansion of -1 in a 1.634 * [taylor]: Taking taylor expansion of a in a 1.635 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.635 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.637 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.637 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.637 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.637 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.637 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 1.637 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 1.637 * [taylor]: Taking taylor expansion of 1 in a 1.637 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.637 * [taylor]: Taking taylor expansion of -1 in a 1.637 * [taylor]: Taking taylor expansion of a in a 1.638 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.638 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.656 * * * [progress]: simplifying candidates 1.656 * [simplify]: Simplifying using # : (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (log (exp (fmod (cosh a) (* a a))))) (log1p (log (exp (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))))) (expm1 (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log1p (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p 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)))) (expm1 (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log1p (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))) (- (+ (* 1/2 (* (pow a 2) (pow (log (fmod (cosh a) (pow a 2))) 2))) (+ (* a (log (fmod (cosh a) (pow a 2)))) 1)) (* 1/2 (* (pow a 2) (log (fmod (cosh a) (pow a 2)))))) (- (+ (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (+ (* 1/2 (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (pow (log (fmod (cosh a) (pow a 2))) 2)) (pow a 2))) (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (log (fmod (cosh a) (pow a 2)))) a))) (* 1/2 (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (log (fmod (cosh a) (pow a 2)))) (pow a 2)))) (- (+ (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (+ (* 1/2 (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (pow (log (fmod (cosh a) (pow a 2))) 2)) (pow a 2))) (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) a))) (* 1/2 (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) (pow a 2)))) 1.661 * * [simplify]: iteration 0 : 265 enodes (cost 654 ) 1.665 * * [simplify]: iteration 1 : 902 enodes (cost 598 ) 1.681 * * [simplify]: iteration 2 : 3697 enodes (cost 588 ) 1.758 * * [simplify]: iteration 3 : 5001 enodes (cost 580 ) 1.761 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log1p (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p 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)))) (expm1 (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log1p (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 (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 (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) 1 (pow (log (exp (* (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))) (+ (fma (* 1/2 (pow a 2)) (pow (log (fmod (cosh a) (pow a 2))) 2) 1) (* (log (fmod (cosh a) (* a a))) (- a (* 1/2 (pow a 2))))) (+ (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a)))) (fma (- 1/2) (/ (* (/ (log (fmod (cosh a) (* a a))) a) (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))) a) (fma (/ (/ 1/2 (pow (fmod (cosh a) (* a a)) (log (/ 1 a)))) a) (/ (pow (log (fmod (cosh a) (pow a 2))) 2) a) (/ (log (fmod (cosh a) (* a a))) (/ a (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))))))) (+ (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a)))) (fma (- 1/2) (/ (* (/ (log (fmod (cosh a) (* a a))) a) (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))) a) (fma (/ (/ 1/2 (pow (fmod (cosh a) (* a a)) (log (/ 1 a)))) a) (/ (pow (log (fmod (cosh a) (pow a 2))) 2) a) (/ (log (fmod (cosh a) (* a a))) (/ a (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))))))) 1.762 * * * [progress]: adding candidates to table 1.992 * * [progress]: iteration 3 / 4 1.992 * * * [progress]: picking best candidate 2.022 * * * * [pick]: Picked # 2.022 * * * [progress]: localizing error 2.040 * * * [progress]: generating rewritten candidates 2.040 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1 2 1) 2.040 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 2.040 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.041 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.042 * * * [progress]: generating series expansions 2.042 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1 2 1) 2.043 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.043 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.043 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.043 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.043 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.043 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.044 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.044 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.044 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.045 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 1 1) 2.045 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.045 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.045 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.045 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.045 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.045 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.046 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.046 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.046 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.046 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.047 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.047 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.047 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.047 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.047 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.047 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.048 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.048 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.048 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.048 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.048 * [approximate]: Taking taylor expansion of (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) in (a) around 0 2.048 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) in a 2.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh a) (pow a 2)) 2)))) in a 2.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh a) (pow a 2)) 2))) in a 2.049 * [taylor]: Taking taylor expansion of 1/3 in a 2.049 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh a) (pow a 2)) 2)) in a 2.049 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) 2) in a 2.049 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.049 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) in a 2.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh a) (pow a 2)) 2)))) in a 2.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh a) (pow a 2)) 2))) in a 2.050 * [taylor]: Taking taylor expansion of 1/3 in a 2.050 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh a) (pow a 2)) 2)) in a 2.050 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) 2) in a 2.050 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.095 * [approximate]: Taking taylor expansion of (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) 1/3) in (a) around 0 2.095 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) 1/3) in a 2.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2)))) in a 2.095 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2))) in a 2.095 * [taylor]: Taking taylor expansion of 1/3 in a 2.095 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2)) in a 2.095 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) in a 2.095 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.096 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) 1/3) in a 2.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2)))) in a 2.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2))) in a 2.096 * [taylor]: Taking taylor expansion of 1/3 in a 2.096 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2)) in a 2.096 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) in a 2.096 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.140 * [approximate]: Taking taylor expansion of (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) 1/3) in (a) around 0 2.140 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) 1/3) in a 2.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2)))) in a 2.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2))) in a 2.140 * [taylor]: Taking taylor expansion of 1/3 in a 2.140 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2)) in a 2.140 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) in a 2.140 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.141 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) 1/3) in a 2.141 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2)))) in a 2.141 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2))) in a 2.141 * [taylor]: Taking taylor expansion of 1/3 in a 2.141 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2)) in a 2.141 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) in a 2.141 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.190 * * * [progress]: simplifying candidates 2.191 * [simplify]: Simplifying using # : (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log1p (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (* (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (log (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log 1) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (cbrt (fmod (cosh a) (* a a))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (cbrt (fmod (cosh a) (* a a))))) (log (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (exp (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (* (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (* (* (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (sqrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (sqrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (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)) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) 2.194 * * [simplify]: iteration 0 : 61 enodes (cost 413 ) 2.196 * * [simplify]: iteration 1 : 114 enodes (cost 342 ) 2.198 * * [simplify]: iteration 2 : 274 enodes (cost 337 ) 2.203 * * [simplify]: iteration 3 : 731 enodes (cost 331 ) 2.227 * * [simplify]: iteration 4 : 3953 enodes (cost 311 ) 2.350 * * [simplify]: iteration 5 : 5001 enodes (cost 311 ) 2.352 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (pow (fmod (cosh a) (pow a 2)) 1/2) (pow (fmod (cosh a) (pow a 2)) 1/2) (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (pow (fmod (cosh a) (pow a 2)) 1/2) (pow (fmod (cosh a) (pow a 2)) 1/2) (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (pow (fmod (cosh a) (pow a 2)) 1/2) (pow (fmod (cosh a) (pow a 2)) 1/2) (expm1 (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log1p (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (* 2 (log (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (log (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) 0 (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (cbrt (fmod (cosh a) (* a a))) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (cbrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (fmod (cosh a) (* a a))))) (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (pow (fmod (cosh a) (pow a 2)) 2) (fabs (cbrt (fmod (cosh a) (* a a)))) (fabs (cbrt (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)) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) 2.352 * * * [progress]: adding candidates to table 2.602 * * [progress]: iteration 4 / 4 2.602 * * * [progress]: picking best candidate 2.644 * * * * [pick]: Picked # 2.644 * * * [progress]: localizing error 2.669 * * * [progress]: generating rewritten candidates 2.669 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2 1 1 1 2 1) 2.669 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1 1 1 1) 2.670 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1 1 2 1) 2.670 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1 1 1) 2.671 * * * [progress]: generating series expansions 2.671 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2 1 1 1 2 1) 2.671 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.671 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.671 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.671 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.671 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.671 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.672 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.672 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.672 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.673 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1 1 1 1) 2.673 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.673 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.673 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.673 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.673 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.673 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.674 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.674 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.674 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.674 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1 1 2 1) 2.674 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.674 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.675 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.675 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.675 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.675 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.676 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.676 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.676 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.676 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1 1 1) 2.676 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.676 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.676 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.677 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.677 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.677 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.677 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.677 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.677 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.678 * * * [progress]: simplifying candidates 2.678 * [simplify]: Simplifying using # : (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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)) 2.681 * * [simplify]: iteration 0 : 25 enodes (cost 228 ) 2.683 * * [simplify]: iteration 1 : 42 enodes (cost 200 ) 2.684 * * [simplify]: iteration 2 : 94 enodes (cost 200 ) 2.686 * * [simplify]: iteration 3 : 232 enodes (cost 200 ) 2.694 * * [simplify]: iteration 4 : 1067 enodes (cost 200 ) 2.737 * * [simplify]: iteration 5 : 5001 enodes (cost 200 ) 2.738 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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))) (expm1 (fmod (cosh a) (* a a))) (log1p (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)) 2.738 * * * [progress]: adding candidates to table 3.031 * [progress]: [Phase 3 of 3] Extracting. 3.032 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 3.037 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 3.037 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # # # # #) 3.107 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # #) 3.138 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # # # # #) 3.206 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # #) 3.263 * * * [regime]: Found split indices: #