0.822 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 1.107 * * * [progress]: [2/2] Setting up program. 1.112 * [progress]: [Phase 2 of 3] Improving. 1.114 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.118 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.119 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.121 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.122 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.125 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.131 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.159 * * [simplify]: iteration 6 : 5002 enodes (cost 6 ) 1.160 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.161 * * [progress]: iteration 1 / 4 1.162 * * * [progress]: picking best candidate 1.165 * * * * [pick]: Picked # 1.165 * * * [progress]: localizing error 1.177 * * * [progress]: generating rewritten candidates 1.178 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.178 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.181 * * * [progress]: generating series expansions 1.181 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.185 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.186 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.188 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.189 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.189 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.189 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.190 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.190 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.190 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.191 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.191 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.191 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.191 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.192 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.192 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.192 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.193 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.193 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.193 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.194 * * * [progress]: simplifying candidates 1.194 * [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))) 1.197 * * [simplify]: iteration 0 : 48 enodes (cost 166 ) 1.198 * * [simplify]: iteration 1 : 76 enodes (cost 146 ) 1.200 * * [simplify]: iteration 2 : 160 enodes (cost 146 ) 1.203 * * [simplify]: iteration 3 : 411 enodes (cost 146 ) 1.216 * * [simplify]: iteration 4 : 2000 enodes (cost 146 ) 1.279 * * [simplify]: iteration 5 : 5001 enodes (cost 146 ) 1.281 * [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))) 1.281 * * * [progress]: adding candidates to table 1.361 * * [progress]: iteration 2 / 4 1.361 * * * [progress]: picking best candidate 1.378 * * * * [pick]: Picked # 1.378 * * * [progress]: localizing error 1.393 * * * [progress]: generating rewritten candidates 1.393 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1 1) 1.393 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.395 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.396 * * * [progress]: generating series expansions 1.396 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1 1) 1.396 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.396 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.396 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.397 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.397 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.397 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.397 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.397 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.397 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.398 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.398 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.398 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.398 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.399 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.399 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.399 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.399 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.399 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.399 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.400 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.400 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.400 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.400 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.401 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.401 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.401 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.402 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.402 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.402 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.403 * * * [progress]: simplifying candidates 1.403 * [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))) 1.407 * * [simplify]: iteration 0 : 79 enodes (cost 299 ) 1.408 * * [simplify]: iteration 1 : 113 enodes (cost 260 ) 1.410 * * [simplify]: iteration 2 : 227 enodes (cost 260 ) 1.414 * * [simplify]: iteration 3 : 599 enodes (cost 260 ) 1.431 * * [simplify]: iteration 4 : 2974 enodes (cost 260 ) 1.511 * * [simplify]: iteration 5 : 5001 enodes (cost 260 ) 1.513 * [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))) 1.513 * * * [progress]: adding candidates to table 1.653 * * [progress]: iteration 3 / 4 1.653 * * * [progress]: picking best candidate 1.687 * * * * [pick]: Picked # 1.687 * * * [progress]: localizing error 1.701 * * * [progress]: generating rewritten candidates 1.701 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 1.702 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.703 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.717 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.722 * * * [progress]: generating series expansions 1.722 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 1.722 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.722 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.722 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.723 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.723 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.723 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.723 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.723 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.723 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.724 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.724 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.724 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.724 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.725 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.725 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.725 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.725 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.725 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.725 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.726 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.727 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 1.727 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.727 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.727 * [taylor]: Taking taylor expansion of 1/2 in a 1.727 * [taylor]: Taking taylor expansion of PI in a 1.727 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.728 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.728 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.728 * [taylor]: Taking taylor expansion of 1/2 in a 1.728 * [taylor]: Taking taylor expansion of PI in a 1.728 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.737 * [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 1.738 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.738 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.738 * [taylor]: Taking taylor expansion of 1/2 in a 1.738 * [taylor]: Taking taylor expansion of PI in a 1.738 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.738 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.738 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.738 * [taylor]: Taking taylor expansion of 1/2 in a 1.738 * [taylor]: Taking taylor expansion of PI in a 1.738 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.748 * [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 1.749 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.749 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.749 * [taylor]: Taking taylor expansion of 1/2 in a 1.749 * [taylor]: Taking taylor expansion of PI in a 1.749 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.749 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.749 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.749 * [taylor]: Taking taylor expansion of 1/2 in a 1.749 * [taylor]: Taking taylor expansion of PI in a 1.749 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.758 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.758 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.758 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.758 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.759 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.759 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.759 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.763 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.763 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.764 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.764 * * * [progress]: simplifying candidates 1.766 * [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))) 1.946 * * * [progress]: adding candidates to table 2.263 * * [progress]: iteration 4 / 4 2.263 * * * [progress]: picking best candidate 2.304 * * * * [pick]: Picked # 2.304 * * * [progress]: localizing error 2.335 * * * [progress]: generating rewritten candidates 2.335 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 3 1 1) 2.335 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3 2 1 1 1 1 1 1) 2.335 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3 2 1 1 1 1) 2.337 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.338 * * * [progress]: generating series expansions 2.338 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 3 1 1) 2.338 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.338 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.338 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.339 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in (a) around 0 2.339 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 2.339 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 2.339 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in (a) around 0 2.339 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 2.339 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 2.340 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3 2 1 1 1 1 1 1) 2.340 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.340 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.340 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.340 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.340 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.341 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.341 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.341 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.341 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.342 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3 2 1 1 1 1) 2.342 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.342 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.342 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.342 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.343 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.343 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.343 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.343 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.343 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.345 * [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 2.345 * [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 2.345 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) 2.345 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.345 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.345 * [taylor]: Taking taylor expansion of PI in a 2.346 * [taylor]: Taking taylor expansion of 1/4 in a 2.346 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in a 2.346 * [taylor]: Taking taylor expansion of -1 in a 2.346 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2) in a 2.346 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.346 * [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 2.346 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) 2.346 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.346 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.346 * [taylor]: Taking taylor expansion of PI in a 2.346 * [taylor]: Taking taylor expansion of 1/4 in a 2.346 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in a 2.346 * [taylor]: Taking taylor expansion of -1 in a 2.346 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2) in a 2.346 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.372 * [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 2.372 * [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 2.372 * [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))) 2.372 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.372 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.372 * [taylor]: Taking taylor expansion of PI in a 2.372 * [taylor]: Taking taylor expansion of 1/4 in a 2.372 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in a 2.372 * [taylor]: Taking taylor expansion of -1 in a 2.372 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2) in a 2.372 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.373 * [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 2.373 * [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))) 2.373 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.373 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.373 * [taylor]: Taking taylor expansion of PI in a 2.373 * [taylor]: Taking taylor expansion of 1/4 in a 2.373 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in a 2.373 * [taylor]: Taking taylor expansion of -1 in a 2.373 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2) in a 2.373 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.404 * [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 2.404 * [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 2.404 * [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))) 2.404 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.404 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.404 * [taylor]: Taking taylor expansion of PI in a 2.404 * [taylor]: Taking taylor expansion of 1/4 in a 2.404 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in a 2.404 * [taylor]: Taking taylor expansion of -1 in a 2.404 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2) in a 2.404 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.404 * [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 2.404 * [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))) 2.405 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.405 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.405 * [taylor]: Taking taylor expansion of PI in a 2.405 * [taylor]: Taking taylor expansion of 1/4 in a 2.405 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in a 2.405 * [taylor]: Taking taylor expansion of -1 in a 2.405 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2) in a 2.405 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.431 * * * [progress]: simplifying candidates 2.432 * [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)) 2.436 * * [simplify]: iteration 0 : 119 enodes (cost 433 ) 2.438 * * [simplify]: iteration 1 : 218 enodes (cost 377 ) 2.441 * * [simplify]: iteration 2 : 761 enodes (cost 369 ) 2.460 * * [simplify]: iteration 3 : 5001 enodes (cost 369 ) 2.462 * [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)) 2.463 * * * [progress]: adding candidates to table 2.803 * [progress]: [Phase 3 of 3] Extracting. 2.804 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.808 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 2.809 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # # # #) 2.875 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# #) 2.898 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # # # #) 2.965 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# #) 2.993 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # #) 3.049 * * * [regime]: Found split indices: #