0.837 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 1.133 * * * [progress]: [2/2] Setting up program. 1.137 * [progress]: [Phase 2 of 3] Improving. 1.140 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.145 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.147 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.148 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.150 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.152 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.158 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.186 * * [simplify]: iteration 6 : 5002 enodes (cost 6 ) 1.187 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.189 * * [progress]: iteration 1 / 4 1.189 * * * [progress]: picking best candidate 1.192 * * * * [pick]: Picked # 1.192 * * * [progress]: localizing error 1.204 * * * [progress]: generating rewritten candidates 1.205 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.206 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.209 * * * [progress]: generating series expansions 1.209 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.213 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.214 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.223 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.224 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.224 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.225 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.226 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.226 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.226 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.226 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.226 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.226 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.227 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.227 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.227 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.227 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.228 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.228 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.228 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.229 * * * [progress]: simplifying candidates 1.230 * [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))) 1.233 * * [simplify]: iteration 0 : 48 enodes (cost 166 ) 1.234 * * [simplify]: iteration 1 : 76 enodes (cost 146 ) 1.236 * * [simplify]: iteration 2 : 160 enodes (cost 146 ) 1.239 * * [simplify]: iteration 3 : 411 enodes (cost 146 ) 1.252 * * [simplify]: iteration 4 : 2000 enodes (cost 146 ) 1.316 * * [simplify]: iteration 5 : 5001 enodes (cost 146 ) 1.317 * [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))) 1.318 * * * [progress]: adding candidates to table 1.397 * * [progress]: iteration 2 / 4 1.397 * * * [progress]: picking best candidate 1.415 * * * * [pick]: Picked # 1.415 * * * [progress]: localizing error 1.428 * * * [progress]: generating rewritten candidates 1.428 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1 1) 1.429 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.431 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.433 * * * [progress]: generating series expansions 1.433 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1 1) 1.433 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.433 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.433 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.434 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.434 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.434 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.434 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.435 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.435 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.435 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.435 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.435 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.435 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.436 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.436 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.436 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.436 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.436 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.437 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.437 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.437 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.437 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.437 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.438 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.438 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.438 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.439 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.439 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.439 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.440 * * * [progress]: simplifying candidates 1.441 * [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))) 1.444 * * [simplify]: iteration 0 : 79 enodes (cost 299 ) 1.446 * * [simplify]: iteration 1 : 113 enodes (cost 260 ) 1.448 * * [simplify]: iteration 2 : 227 enodes (cost 260 ) 1.452 * * [simplify]: iteration 3 : 599 enodes (cost 260 ) 1.468 * * [simplify]: iteration 4 : 2974 enodes (cost 260 ) 1.548 * * [simplify]: iteration 5 : 5001 enodes (cost 260 ) 1.549 * [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))) 1.550 * * * [progress]: adding candidates to table 1.697 * * [progress]: iteration 3 / 4 1.697 * * * [progress]: picking best candidate 1.726 * * * * [pick]: Picked # 1.726 * * * [progress]: localizing error 1.741 * * * [progress]: generating rewritten candidates 1.741 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 1.742 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.744 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.756 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.762 * * * [progress]: generating series expansions 1.762 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 1.762 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.762 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.762 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.762 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.762 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.763 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.763 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.763 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.763 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.764 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.764 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.764 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.764 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.764 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.764 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.765 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.765 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.765 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.765 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.766 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.767 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 1.767 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.767 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.767 * [taylor]: Taking taylor expansion of 1/2 in a 1.767 * [taylor]: Taking taylor expansion of PI in a 1.767 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.768 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.768 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.768 * [taylor]: Taking taylor expansion of 1/2 in a 1.768 * [taylor]: Taking taylor expansion of PI in a 1.768 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.778 * [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 1.778 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.778 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.778 * [taylor]: Taking taylor expansion of 1/2 in a 1.778 * [taylor]: Taking taylor expansion of PI in a 1.778 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.778 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.778 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.778 * [taylor]: Taking taylor expansion of 1/2 in a 1.778 * [taylor]: Taking taylor expansion of PI in a 1.778 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.788 * [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 1.788 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.788 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.788 * [taylor]: Taking taylor expansion of 1/2 in a 1.788 * [taylor]: Taking taylor expansion of PI in a 1.788 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.788 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.788 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.788 * [taylor]: Taking taylor expansion of 1/2 in a 1.788 * [taylor]: Taking taylor expansion of PI in a 1.788 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.798 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.798 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.798 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.798 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.799 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.799 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.799 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.800 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.800 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.800 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.801 * * * [progress]: simplifying candidates 1.803 * [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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(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (sqrt (/ PI 2)) (sqrt (/ 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 (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (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 (/ PI 2)) (sqrt (/ PI 2)) (- (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1))) (fma (- (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 1 (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1)) (fma (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (/ (cbrt PI) (cbrt 2)) (- (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log 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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) (cbrt PI)) 1) (/ (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 (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (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 (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) 2) (- (* (asin (pow (log (exp (fmod 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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))) 1.983 * * * [progress]: adding candidates to table 2.315 * * [progress]: iteration 4 / 4 2.315 * * * [progress]: picking best candidate 2.348 * * * * [pick]: Picked # 2.348 * * * [progress]: localizing error 2.380 * * * [progress]: generating rewritten candidates 2.380 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 3 1 1) 2.381 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3 2 1 1 1 1 1 1) 2.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3 2 1 1 1 1) 2.384 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.385 * * * [progress]: generating series expansions 2.385 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 3 1 1) 2.385 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.385 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.385 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.386 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in (a) around 0 2.386 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 2.386 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 2.386 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in (a) around 0 2.386 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 2.387 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 2.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3 2 1 1 1 1 1 1) 2.387 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.387 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.387 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.388 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.388 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.388 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.388 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.388 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.388 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.389 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3 2 1 1 1 1) 2.389 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.389 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.389 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.389 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.389 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.390 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.390 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.390 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.390 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.391 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.392 * [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 2.392 * [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 2.392 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) 2.392 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.392 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.392 * [taylor]: Taking taylor expansion of PI in a 2.393 * [taylor]: Taking taylor expansion of 1/4 in a 2.393 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in a 2.393 * [taylor]: Taking taylor expansion of -1 in a 2.393 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2) in a 2.393 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.393 * [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 2.393 * [taylor]: Rewrote expression to (+ (* (pow PI 2) 1/4) (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) 2.393 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.393 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.393 * [taylor]: Taking taylor expansion of PI in a 2.393 * [taylor]: Taking taylor expansion of 1/4 in a 2.393 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in a 2.393 * [taylor]: Taking taylor expansion of -1 in a 2.393 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2) in a 2.393 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.424 * [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 2.424 * [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 2.424 * [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))) 2.424 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.424 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.424 * [taylor]: Taking taylor expansion of PI in a 2.424 * [taylor]: Taking taylor expansion of 1/4 in a 2.424 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in a 2.424 * [taylor]: Taking taylor expansion of -1 in a 2.424 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2) in a 2.424 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.424 * [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 2.425 * [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))) 2.425 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.425 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.425 * [taylor]: Taking taylor expansion of PI in a 2.425 * [taylor]: Taking taylor expansion of 1/4 in a 2.425 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in a 2.425 * [taylor]: Taking taylor expansion of -1 in a 2.425 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2) in a 2.425 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.453 * [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 2.453 * [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 2.453 * [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))) 2.453 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.453 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.453 * [taylor]: Taking taylor expansion of PI in a 2.453 * [taylor]: Taking taylor expansion of 1/4 in a 2.453 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in a 2.454 * [taylor]: Taking taylor expansion of -1 in a 2.454 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2) in a 2.454 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.454 * [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 2.454 * [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))) 2.454 * [taylor]: Taking taylor expansion of (* (pow PI 2) 1/4) in a 2.454 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.454 * [taylor]: Taking taylor expansion of PI in a 2.454 * [taylor]: Taking taylor expansion of 1/4 in a 2.454 * [taylor]: Taking taylor expansion of (* -1 (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in a 2.454 * [taylor]: Taking taylor expansion of -1 in a 2.454 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2) in a 2.454 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.482 * * * [progress]: simplifying candidates 2.483 * [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)) 2.490 * * [simplify]: iteration 0 : 119 enodes (cost 433 ) 2.492 * * [simplify]: iteration 1 : 218 enodes (cost 377 ) 2.496 * * [simplify]: iteration 2 : 761 enodes (cost 369 ) 2.515 * * [simplify]: iteration 3 : 5001 enodes (cost 369 ) 2.518 * [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)) 2.518 * * * [progress]: adding candidates to table 2.861 * [progress]: [Phase 3 of 3] Extracting. 2.861 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.864 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 2.865 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # # #) 2.927 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # # #) 2.990 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 3.043 * * * [regime]: Found split indices: #