0.783 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.139 * * * [progress]: [2/2] Setting up program. 1.146 * [progress]: [Phase 2 of 3] Improving. 1.149 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.152 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.154 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.155 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.156 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.159 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.165 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.192 * * [simplify]: iteration 6 : 5002 enodes (cost 6 ) 1.192 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.194 * * [progress]: iteration 1 / 4 1.194 * * * [progress]: picking best candidate 1.200 * * * * [pick]: Picked # 1.200 * * * [progress]: localizing error 1.211 * * * [progress]: generating rewritten candidates 1.211 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.212 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.214 * * * [progress]: generating series expansions 1.215 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.218 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.219 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.221 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.222 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.222 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.222 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.223 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.223 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.223 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.224 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.224 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.224 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.224 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.225 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.225 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.225 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.226 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.226 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.226 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.227 * * * [progress]: simplifying candidates 1.227 * [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)))) (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))) 1.230 * * [simplify]: iteration 0 : 48 enodes (cost 166 ) 1.232 * * [simplify]: iteration 1 : 76 enodes (cost 146 ) 1.233 * * [simplify]: iteration 2 : 160 enodes (cost 146 ) 1.236 * * [simplify]: iteration 3 : 411 enodes (cost 146 ) 1.248 * * [simplify]: iteration 4 : 2000 enodes (cost 146 ) 1.310 * * [simplify]: iteration 5 : 5001 enodes (cost 146 ) 1.311 * [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 (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)))) (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))) 1.311 * * * [progress]: adding candidates to table 1.464 * * [progress]: iteration 2 / 4 1.464 * * * [progress]: picking best candidate 1.491 * * * * [pick]: Picked # 1.491 * * * [progress]: localizing error 1.505 * * * [progress]: generating rewritten candidates 1.505 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1 1) 1.505 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.507 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.508 * * * [progress]: generating series expansions 1.508 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1 1) 1.508 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.508 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.508 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.509 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.509 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.509 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.509 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.509 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.510 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.510 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.510 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.510 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.510 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.511 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.511 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.511 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.512 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.512 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.512 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.512 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.513 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.513 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.513 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.513 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.513 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.514 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.515 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.515 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.515 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.515 * * * [progress]: simplifying candidates 1.516 * [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)))) (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))) 1.519 * * [simplify]: iteration 0 : 79 enodes (cost 299 ) 1.521 * * [simplify]: iteration 1 : 113 enodes (cost 260 ) 1.523 * * [simplify]: iteration 2 : 227 enodes (cost 260 ) 1.527 * * [simplify]: iteration 3 : 599 enodes (cost 260 ) 1.542 * * [simplify]: iteration 4 : 2974 enodes (cost 260 ) 1.620 * * [simplify]: iteration 5 : 5001 enodes (cost 260 ) 1.622 * [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)))) (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))) 1.622 * * * [progress]: adding candidates to table 1.898 * * [progress]: iteration 3 / 4 1.898 * * * [progress]: picking best candidate 1.936 * * * * [pick]: Picked # 1.936 * * * [progress]: localizing error 1.952 * * * [progress]: generating rewritten candidates 1.952 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 1.952 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.953 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.969 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.975 * * * [progress]: generating series expansions 1.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 1.975 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.975 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.975 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.975 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.975 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.975 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.976 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.976 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.976 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.977 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.977 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.977 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.977 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.977 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.977 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.977 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.978 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.978 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.978 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.979 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.980 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 1.980 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.980 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.980 * [taylor]: Taking taylor expansion of 1/2 in a 1.980 * [taylor]: Taking taylor expansion of PI in a 1.980 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.980 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.980 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.980 * [taylor]: Taking taylor expansion of 1/2 in a 1.980 * [taylor]: Taking taylor expansion of PI in a 1.980 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.982 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in (a) around 0 1.982 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.982 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.982 * [taylor]: Taking taylor expansion of 1/2 in a 1.982 * [taylor]: Taking taylor expansion of PI in a 1.982 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.983 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.983 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.983 * [taylor]: Taking taylor expansion of 1/2 in a 1.983 * [taylor]: Taking taylor expansion of PI in a 1.983 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.984 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in (a) around 0 1.984 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.984 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.984 * [taylor]: Taking taylor expansion of 1/2 in a 1.984 * [taylor]: Taking taylor expansion of PI in a 1.984 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.985 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.985 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.985 * [taylor]: Taking taylor expansion of 1/2 in a 1.985 * [taylor]: Taking taylor expansion of PI in a 1.985 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.986 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.986 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.986 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.987 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.987 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.987 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.988 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.988 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.988 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.989 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.989 * * * [progress]: simplifying candidates 1.991 * [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))))) (fma (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (cbrt (/ PI 2)) (- (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))) (fma (- (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (cbrt (/ PI 2)) (- (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (- (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (asin 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(log1p a))) (+ (- 1) 1)) (- (* (/ 1 (sqrt 2)) (/ PI (sqrt 2))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (* (/ 1 (sqrt 2)) (/ PI (sqrt 2))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (- 1) 1)) (expm1 (- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log1p (- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (exp (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))))) (log (- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (exp (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))))) (* (cbrt (- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (cbrt (- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (pow (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 3) (sqrt (- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (fma (pow PI 3) 1/8 (* (- 1) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3))) (fma (* PI PI) 1/4 (* (fma PI 1/2 (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6))) (fma PI 1/2 (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (+ (sqrt (/ PI 2)) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (- (sqrt (/ PI 2)) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 0 (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (expm1 (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log1p (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (/ PI 2) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (pow E (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p 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)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2.167 * * * [progress]: adding candidates to table 2.913 * * [progress]: iteration 4 / 4 2.913 * * * [progress]: picking best candidate 2.969 * * * * [pick]: Picked # 2.969 * * * [progress]: localizing error 3.000 * * * [progress]: generating rewritten candidates 3.000 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 3 1 1) 3.000 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3 2 1 1 1 1 1 1) 3.001 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3 2 1 1 1 1) 3.002 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.003 * * * [progress]: generating series expansions 3.003 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 3 1 1) 3.003 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 3.003 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.003 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.004 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in (a) around 0 3.004 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 3.004 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 3.004 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in (a) around 0 3.004 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 3.005 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 3.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3 2 1 1 1 1 1 1) 3.005 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 3.005 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.005 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.006 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 3.006 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.006 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.006 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 3.006 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.006 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3 2 1 1 1 1) 3.007 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 3.007 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.007 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.008 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 3.008 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.008 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.008 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 3.008 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.008 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.009 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.009 * [approximate]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) in (a) around 0 3.009 * [taylor]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) in a 3.010 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) 3.010 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 3.010 * [taylor]: Taking taylor expansion of (pow PI 2) in a 3.010 * [taylor]: Taking taylor expansion of PI in a 3.010 * [taylor]: Taking taylor expansion of 1/4 in a 3.010 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in a 3.010 * [taylor]: Taking taylor expansion of -1 in a 3.010 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2) in a 3.010 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 3.010 * [taylor]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) in a 3.010 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) 3.010 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 3.010 * [taylor]: Taking taylor expansion of (pow PI 2) in a 3.010 * [taylor]: Taking taylor expansion of PI in a 3.010 * [taylor]: Taking taylor expansion of 1/4 in a 3.010 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in a 3.010 * [taylor]: Taking taylor expansion of -1 in a 3.010 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2) in a 3.010 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 3.017 * [approximate]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2))) in (a) around 0 3.017 * [taylor]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2))) in a 3.017 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2))) 3.017 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 3.017 * [taylor]: Taking taylor expansion of (pow PI 2) in a 3.017 * [taylor]: Taking taylor expansion of PI in a 3.017 * [taylor]: Taking taylor expansion of 1/4 in a 3.017 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in a 3.017 * [taylor]: Taking taylor expansion of -1 in a 3.017 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2) in a 3.017 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 3.017 * [taylor]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2))) in a 3.017 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2))) 3.017 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 3.017 * [taylor]: Taking taylor expansion of (pow PI 2) in a 3.017 * [taylor]: Taking taylor expansion of PI in a 3.017 * [taylor]: Taking taylor expansion of 1/4 in a 3.017 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in a 3.017 * [taylor]: Taking taylor expansion of -1 in a 3.017 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2) in a 3.017 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 3.027 * [approximate]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2))) in (a) around 0 3.027 * [taylor]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2))) in a 3.027 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2))) 3.027 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 3.027 * [taylor]: Taking taylor expansion of (pow PI 2) in a 3.027 * [taylor]: Taking taylor expansion of PI in a 3.027 * [taylor]: Taking taylor expansion of 1/4 in a 3.027 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in a 3.027 * [taylor]: Taking taylor expansion of -1 in a 3.027 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2) in a 3.027 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 3.027 * [taylor]: Taking taylor expansion of (fma (pow PI 2) 1/4 (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2))) in a 3.027 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2))) 3.027 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 3.027 * [taylor]: Taking taylor expansion of (pow PI 2) in a 3.027 * [taylor]: Taking taylor expansion of PI in a 3.027 * [taylor]: Taking taylor expansion of 1/4 in a 3.028 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in a 3.028 * [taylor]: Taking taylor expansion of -1 in a 3.028 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2) in a 3.028 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 3.034 * * * [progress]: simplifying candidates 3.035 * [simplify]: Simplifying using # : (expm1 (fmod (cosh a) (pow a 2))) (log1p (fmod (cosh a) (pow a 2))) (log (fmod (cosh a) (pow a 2))) (exp (fmod (cosh a) (pow a 2))) (* (cbrt (fmod (cosh a) (pow a 2))) (cbrt (fmod (cosh a) (pow a 2)))) (cbrt (fmod (cosh a) (pow a 2))) (* (* (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2))) (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 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))) (* (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 (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (log1p (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (* (* PI PI) 1/4) (log (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (exp (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (* (cbrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (cbrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6))))) (cbrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (* (* (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6))) (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (sqrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (sqrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (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)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) 3.039 * * [simplify]: iteration 0 : 119 enodes (cost 433 ) 3.041 * * [simplify]: iteration 1 : 218 enodes (cost 377 ) 3.044 * * [simplify]: iteration 2 : 761 enodes (cost 369 ) 3.063 * * [simplify]: iteration 3 : 5001 enodes (cost 369 ) 3.065 * [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))) (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 (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (log1p (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (* (* PI PI) 1/4) (log (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (exp (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) (* (cbrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (cbrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6))))) (cbrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (pow (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) 3) (sqrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (sqrt (fma (* PI PI) 1/4 (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)))) (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)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) 3.065 * * * [progress]: adding candidates to table 3.928 * [progress]: [Phase 3 of 3] Extracting. 3.929 * * [regime]: Finding splitpoints for: (# # # # #) 3.932 * * * [regime-changes]: Trying 1 branch expressions: (a) 3.932 * * * * [regimes]: Trying to branch on a from (# # # # #) 4.027 * * * [regime]: Found split indices: #