0.811 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 1.084 * * * [progress]: [2/2] Setting up program. 1.088 * [progress]: [Phase 2 of 3] Improving. 1.090 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.094 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.095 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.096 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.098 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.100 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.107 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.134 * * [simplify]: iteration 6 : 5002 enodes (cost 6 ) 1.135 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.136 * * [progress]: iteration 1 / 4 1.136 * * * [progress]: picking best candidate 1.139 * * * * [pick]: Picked # 1.139 * * * [progress]: localizing error 1.151 * * * [progress]: generating rewritten candidates 1.151 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.152 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.154 * * * [progress]: generating series expansions 1.154 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.158 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.159 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.161 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.162 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.162 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.163 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.164 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.164 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.164 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.164 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.164 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.165 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.165 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.165 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.165 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.166 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.167 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.167 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.167 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.167 * * * [progress]: simplifying candidates 1.168 * [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))) 1.171 * * [simplify]: iteration 0 : 48 enodes (cost 166 ) 1.172 * * [simplify]: iteration 1 : 76 enodes (cost 146 ) 1.174 * * [simplify]: iteration 2 : 160 enodes (cost 146 ) 1.177 * * [simplify]: iteration 3 : 411 enodes (cost 146 ) 1.189 * * [simplify]: iteration 4 : 2000 enodes (cost 146 ) 1.250 * * [simplify]: iteration 5 : 5001 enodes (cost 146 ) 1.251 * [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))) 1.252 * * * [progress]: adding candidates to table 1.334 * * [progress]: iteration 2 / 4 1.334 * * * [progress]: picking best candidate 1.345 * * * * [pick]: Picked # 1.345 * * * [progress]: localizing error 1.358 * * * [progress]: generating rewritten candidates 1.358 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1 1) 1.358 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.360 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.361 * * * [progress]: generating series expansions 1.361 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1 1) 1.361 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.361 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.361 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.361 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.362 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.362 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.362 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.362 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.362 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.363 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.363 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.363 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.363 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.363 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.364 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.364 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.364 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.364 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.364 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.365 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.365 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.365 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.365 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.366 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.366 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.366 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.367 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.367 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.367 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.368 * * * [progress]: simplifying candidates 1.369 * [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))) 1.372 * * [simplify]: iteration 0 : 79 enodes (cost 299 ) 1.373 * * [simplify]: iteration 1 : 113 enodes (cost 260 ) 1.375 * * [simplify]: iteration 2 : 227 enodes (cost 260 ) 1.379 * * [simplify]: iteration 3 : 599 enodes (cost 260 ) 1.394 * * [simplify]: iteration 4 : 2974 enodes (cost 260 ) 1.473 * * [simplify]: iteration 5 : 5001 enodes (cost 260 ) 1.475 * [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))) 1.475 * * * [progress]: adding candidates to table 1.613 * * [progress]: iteration 3 / 4 1.613 * * * [progress]: picking best candidate 1.628 * * * * [pick]: Picked # 1.628 * * * [progress]: localizing error 1.643 * * * [progress]: generating rewritten candidates 1.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 1.643 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.644 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.659 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.664 * * * [progress]: generating series expansions 1.664 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 1.664 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.664 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.664 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.665 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.665 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.665 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.666 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.666 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.666 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.666 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.666 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.666 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.666 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.667 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.667 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.667 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.668 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.668 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.668 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.668 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.670 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 1.670 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.670 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.670 * [taylor]: Taking taylor expansion of 1/2 in a 1.670 * [taylor]: Taking taylor expansion of PI in a 1.670 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.670 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.670 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.670 * [taylor]: Taking taylor expansion of 1/2 in a 1.670 * [taylor]: Taking taylor expansion of PI in a 1.670 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.684 * [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 1.684 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.684 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.684 * [taylor]: Taking taylor expansion of 1/2 in a 1.684 * [taylor]: Taking taylor expansion of PI in a 1.684 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.684 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.684 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.684 * [taylor]: Taking taylor expansion of 1/2 in a 1.684 * [taylor]: Taking taylor expansion of PI in a 1.684 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.694 * [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 1.694 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.694 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.694 * [taylor]: Taking taylor expansion of 1/2 in a 1.694 * [taylor]: Taking taylor expansion of PI in a 1.694 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.694 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.694 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.695 * [taylor]: Taking taylor expansion of 1/2 in a 1.695 * [taylor]: Taking taylor expansion of PI in a 1.695 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.703 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.704 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.704 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.704 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.705 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.705 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.705 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.706 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.706 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.706 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.707 * * * [progress]: simplifying candidates 1.709 * [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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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 (- 1) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (pow (/ PI 2) 3)) (fma (/ PI 2) (/ PI 2) (* (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (+ (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (/ PI 2)))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4)) (fma 1/2 PI (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))) 1.875 * * * [progress]: adding candidates to table 2.183 * * [progress]: iteration 4 / 4 2.183 * * * [progress]: picking best candidate 2.214 * * * * [pick]: Picked # 2.214 * * * [progress]: localizing error 2.243 * * * [progress]: generating rewritten candidates 2.243 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 3 1 1) 2.244 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 1 1 1) 2.244 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 2.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.246 * * * [progress]: generating series expansions 2.246 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 3 1 1) 2.246 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.246 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.246 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.247 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in (a) around 0 2.247 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 2.247 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 2.248 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in (a) around 0 2.248 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 2.248 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 2.248 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 1 1 1) 2.248 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.248 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.248 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.249 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.249 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.249 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.249 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.249 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.250 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.250 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 2.250 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.250 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.250 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.251 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.251 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.251 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.251 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.252 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.252 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.252 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.254 * [approximate]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6) (* 1/4 (pow PI 2))) in (a) around 0 2.254 * [taylor]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6) (* 1/4 (pow PI 2))) in a 2.254 * [taylor]: Rewrote expression to (+ (* -1 (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6)) (* 1/4 (pow PI 2))) 2.254 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6)) in a 2.254 * [taylor]: Taking taylor expansion of -1 in a 2.254 * [taylor]: Taking taylor expansion of (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6) in a 2.254 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) in a 2.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.254 * [taylor]: Taking taylor expansion of 1/3 in a 2.254 * [taylor]: Taking taylor expansion of (log (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 2.254 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.255 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 2.255 * [taylor]: Taking taylor expansion of 1/4 in a 2.255 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.255 * [taylor]: Taking taylor expansion of PI in a 2.255 * [taylor]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6) (* 1/4 (pow PI 2))) in a 2.255 * [taylor]: Rewrote expression to (+ (* -1 (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6)) (* 1/4 (pow PI 2))) 2.255 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6)) in a 2.255 * [taylor]: Taking taylor expansion of -1 in a 2.255 * [taylor]: Taking taylor expansion of (pow (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) 6) in a 2.255 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1/3) in a 2.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.255 * [taylor]: Taking taylor expansion of 1/3 in a 2.255 * [taylor]: Taking taylor expansion of (log (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 2.255 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.256 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 2.256 * [taylor]: Taking taylor expansion of 1/4 in a 2.256 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.256 * [taylor]: Taking taylor expansion of PI in a 2.338 * [approximate]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6) (* 1/4 (pow PI 2))) in (a) around 0 2.338 * [taylor]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6) (* 1/4 (pow PI 2))) in a 2.338 * [taylor]: Rewrote expression to (+ (* -1 (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6)) (* 1/4 (pow PI 2))) 2.338 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6)) in a 2.338 * [taylor]: Taking taylor expansion of -1 in a 2.338 * [taylor]: Taking taylor expansion of (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6) in a 2.338 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) in a 2.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.338 * [taylor]: Taking taylor expansion of 1/3 in a 2.338 * [taylor]: Taking taylor expansion of (log (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 2.338 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.339 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 2.339 * [taylor]: Taking taylor expansion of 1/4 in a 2.339 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.339 * [taylor]: Taking taylor expansion of PI in a 2.339 * [taylor]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6) (* 1/4 (pow PI 2))) in a 2.339 * [taylor]: Rewrote expression to (+ (* -1 (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6)) (* 1/4 (pow PI 2))) 2.339 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6)) in a 2.339 * [taylor]: Taking taylor expansion of -1 in a 2.339 * [taylor]: Taking taylor expansion of (pow (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) 6) in a 2.339 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 1/3) in a 2.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.339 * [taylor]: Taking taylor expansion of 1/3 in a 2.339 * [taylor]: Taking taylor expansion of (log (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 2.339 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.340 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 2.340 * [taylor]: Taking taylor expansion of 1/4 in a 2.340 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.340 * [taylor]: Taking taylor expansion of PI in a 2.425 * [approximate]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6) (* 1/4 (pow PI 2))) in (a) around 0 2.425 * [taylor]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6) (* 1/4 (pow PI 2))) in a 2.425 * [taylor]: Rewrote expression to (+ (* -1 (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6)) (* 1/4 (pow PI 2))) 2.425 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6)) in a 2.425 * [taylor]: Taking taylor expansion of -1 in a 2.425 * [taylor]: Taking taylor expansion of (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6) in a 2.425 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) in a 2.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.425 * [taylor]: Taking taylor expansion of 1/3 in a 2.426 * [taylor]: Taking taylor expansion of (log (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 2.426 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.426 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 2.426 * [taylor]: Taking taylor expansion of 1/4 in a 2.426 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.426 * [taylor]: Taking taylor expansion of PI in a 2.426 * [taylor]: Taking taylor expansion of (fma -1 (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6) (* 1/4 (pow PI 2))) in a 2.427 * [taylor]: Rewrote expression to (+ (* -1 (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6)) (* 1/4 (pow PI 2))) 2.427 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6)) in a 2.427 * [taylor]: Taking taylor expansion of -1 in a 2.427 * [taylor]: Taking taylor expansion of (pow (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) 6) in a 2.427 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 1/3) in a 2.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.427 * [taylor]: Taking taylor expansion of 1/3 in a 2.427 * [taylor]: Taking taylor expansion of (log (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 2.427 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.428 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 2.428 * [taylor]: Taking taylor expansion of 1/4 in a 2.428 * [taylor]: Taking taylor expansion of (pow PI 2) in a 2.428 * [taylor]: Taking taylor expansion of PI in a 2.511 * * * [progress]: simplifying candidates 2.512 * [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 (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (log1p (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (* (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6)) (log (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (exp (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (* (cbrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (cbrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4)))) (cbrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (* (* (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4)) (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (sqrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (sqrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (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)) 2.515 * * [simplify]: iteration 0 : 119 enodes (cost 443 ) 2.517 * * [simplify]: iteration 1 : 217 enodes (cost 383 ) 2.521 * * [simplify]: iteration 2 : 745 enodes (cost 381 ) 2.539 * * [simplify]: iteration 3 : 4967 enodes (cost 380 ) 2.712 * * [simplify]: iteration 4 : 5001 enodes (cost 380 ) 2.714 * [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 (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (log1p (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (- (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (log (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (/ (exp (/ (* PI PI) 4)) (exp (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2))) (* (cbrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (cbrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4)))) (cbrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (pow (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4)) 3) (sqrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (sqrt (fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4))) (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)) 2.714 * * * [progress]: adding candidates to table 3.050 * [progress]: [Phase 3 of 3] Extracting. 3.051 * * [regime]: Finding splitpoints for: (# # # # # #) 3.054 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 3.054 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # #) 3.099 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # #) 3.148 * * * * [regimes]: Trying to branch on a from (# # # # # #) 3.186 * * * [regime]: Found split indices: #