0.800 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.959 * * * [progress]: [2/2] Setting up program. 0.964 * [progress]: [Phase 2 of 3] Improving. 0.966 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 0.970 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.971 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.972 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 0.974 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 0.976 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 0.983 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.010 * * [simplify]: iteration 6 : 5002 enodes (cost 6 ) 1.011 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.012 * * [progress]: iteration 1 / 4 1.012 * * * [progress]: picking best candidate 1.015 * * * * [pick]: Picked # 1.015 * * * [progress]: localizing error 1.026 * * * [progress]: generating rewritten candidates 1.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.027 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.029 * * * [progress]: generating series expansions 1.030 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.034 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.034 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.036 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.037 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.037 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.037 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.038 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.038 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.038 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.039 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.039 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.039 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.039 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.040 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.040 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.040 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.041 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.041 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.041 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.042 * * * [progress]: simplifying candidates 1.042 * [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))) 1.045 * * [simplify]: iteration 0 : 48 enodes (cost 166 ) 1.047 * * [simplify]: iteration 1 : 76 enodes (cost 146 ) 1.048 * * [simplify]: iteration 2 : 160 enodes (cost 146 ) 1.051 * * [simplify]: iteration 3 : 411 enodes (cost 146 ) 1.063 * * [simplify]: iteration 4 : 2000 enodes (cost 146 ) 1.127 * * [simplify]: iteration 5 : 5001 enodes (cost 146 ) 1.129 * [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))) 1.129 * * * [progress]: adding candidates to table 1.207 * * [progress]: iteration 2 / 4 1.207 * * * [progress]: picking best candidate 1.224 * * * * [pick]: Picked # 1.224 * * * [progress]: localizing error 1.236 * * * [progress]: generating rewritten candidates 1.236 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1 1) 1.237 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.238 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.239 * * * [progress]: generating series expansions 1.239 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1 1) 1.239 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.239 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.239 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.240 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.240 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.240 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.240 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.240 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.240 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.241 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.241 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.241 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.241 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.241 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.241 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.242 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.242 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.242 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.242 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.243 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.243 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.243 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.243 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.244 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.244 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.244 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.245 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.245 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.245 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.246 * * * [progress]: simplifying candidates 1.247 * [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))) 1.250 * * [simplify]: iteration 0 : 79 enodes (cost 299 ) 1.251 * * [simplify]: iteration 1 : 113 enodes (cost 260 ) 1.253 * * [simplify]: iteration 2 : 227 enodes (cost 260 ) 1.257 * * [simplify]: iteration 3 : 599 enodes (cost 260 ) 1.273 * * [simplify]: iteration 4 : 2974 enodes (cost 260 ) 1.352 * * [simplify]: iteration 5 : 5001 enodes (cost 260 ) 1.354 * [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))) 1.354 * * * [progress]: adding candidates to table 1.497 * * [progress]: iteration 3 / 4 1.497 * * * [progress]: picking best candidate 1.518 * * * * [pick]: Picked # 1.518 * * * [progress]: localizing error 1.533 * * * [progress]: generating rewritten candidates 1.533 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1 1) 1.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.535 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.535 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.536 * * * [progress]: generating series expansions 1.536 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1 1) 1.537 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.537 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.537 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.537 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.537 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.537 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.538 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.538 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.538 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.538 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.538 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.538 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.539 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.539 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.539 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.539 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.540 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.540 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.540 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.540 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.540 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.540 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.541 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.541 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.541 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.541 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.542 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.542 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.542 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.543 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.543 * [approximate]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 1.543 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.543 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.544 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.544 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.567 * [approximate]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in (a) around 0 1.567 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.567 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.567 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.567 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.593 * [approximate]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in (a) around 0 1.593 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.593 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.593 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.593 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.616 * * * [progress]: simplifying candidates 1.618 * [simplify]: Simplifying using # : (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (log (exp (fmod (cosh a) (* a a))))) (log1p (log (exp (fmod (cosh a) (* a a))))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (expm1 (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log1p (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (* (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log1p (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log 1) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (exp (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (cbrt (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (* (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (log (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))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 1.621 * * [simplify]: iteration 0 : 94 enodes (cost 499 ) 1.623 * * [simplify]: iteration 1 : 137 enodes (cost 429 ) 1.625 * * [simplify]: iteration 2 : 264 enodes (cost 429 ) 1.629 * * [simplify]: iteration 3 : 672 enodes (cost 429 ) 1.647 * * [simplify]: iteration 4 : 3314 enodes (cost 429 ) 1.737 * * [simplify]: iteration 5 : 5001 enodes (cost 427 ) 1.739 * [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 (fmod (cosh a) (pow a 2)) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log1p (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* 2 (log (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) 0 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (* (cbrt (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (cbrt (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (pow (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 3) (sqrt (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (log (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))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 1.740 * * * [progress]: adding candidates to table 1.948 * * [progress]: iteration 4 / 4 1.948 * * * [progress]: picking best candidate 1.970 * * * * [pick]: Picked # 1.970 * * * [progress]: localizing error 1.990 * * * [progress]: generating rewritten candidates 1.990 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1 1 1 1) 1.990 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1) 1.992 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.992 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.993 * * * [progress]: generating series expansions 1.993 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1 1 1 1) 1.993 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.993 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.993 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.994 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.994 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.994 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.994 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.994 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.994 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.995 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1) 1.995 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.995 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.995 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.995 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.995 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.996 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.996 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.996 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.996 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.997 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.997 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.997 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.997 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.998 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.998 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.998 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.999 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.999 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.999 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.000 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.000 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in (a) around 0 2.000 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.000 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))))) 2.000 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.000 * [taylor]: Taking taylor expansion of 1 in a 2.000 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.000 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) 1) 2.000 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.000 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 2.000 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.001 * [taylor]: Taking taylor expansion of 1 in a 2.002 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.002 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))))) 2.002 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.002 * [taylor]: Taking taylor expansion of 1 in a 2.002 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.002 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) 1) 2.002 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.002 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 2.002 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.003 * [taylor]: Taking taylor expansion of 1 in a 2.061 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in (a) around 0 2.062 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.062 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))))) 2.062 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.062 * [taylor]: Taking taylor expansion of 1 in a 2.062 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.062 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) 1) 2.062 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.062 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 2.062 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.062 * [taylor]: Taking taylor expansion of 1 in a 2.063 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.063 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))))) 2.063 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.063 * [taylor]: Taking taylor expansion of 1 in a 2.063 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.063 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) 1) 2.063 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.063 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 2.063 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.064 * [taylor]: Taking taylor expansion of 1 in a 2.122 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in (a) around 0 2.122 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.122 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))))) 2.122 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.122 * [taylor]: Taking taylor expansion of 1 in a 2.122 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.122 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) 1) 2.122 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.122 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 2.122 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.123 * [taylor]: Taking taylor expansion of 1 in a 2.124 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.124 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))))) 2.124 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.124 * [taylor]: Taking taylor expansion of 1 in a 2.124 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.124 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) 1) 2.124 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.124 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 2.124 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.124 * [taylor]: Taking taylor expansion of 1 in a 2.186 * * * [progress]: simplifying candidates 2.187 * [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)))) (+ 1 (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (expm1 (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (log1p (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (log (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (exp (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (* (cbrt (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (cbrt (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))) (cbrt (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (* (* (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (sqrt (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (sqrt (log1p (expm1 (log (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))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 2.191 * * [simplify]: iteration 0 : 94 enodes (cost 469 ) 2.192 * * [simplify]: iteration 1 : 131 enodes (cost 399 ) 2.194 * * [simplify]: iteration 2 : 249 enodes (cost 399 ) 2.198 * * [simplify]: iteration 3 : 631 enodes (cost 399 ) 2.214 * * [simplify]: iteration 4 : 3037 enodes (cost 399 ) 2.292 * * [simplify]: iteration 5 : 5002 enodes (cost 399 ) 2.295 * [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 (fmod (cosh a) (pow a 2)) (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)))) (+ 1 (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (log1p (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (log (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (* (cbrt (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (cbrt (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))) (cbrt (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (pow (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 3) (sqrt (log1p (expm1 (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (sqrt (log1p (expm1 (log (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))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 2.295 * * * [progress]: adding candidates to table 2.516 * [progress]: [Phase 3 of 3] Extracting. 2.516 * * [regime]: Finding splitpoints for: (# # # # # #) 2.519 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 2.520 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # #) 2.565 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# #) 2.588 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # #) 2.634 * * * * [regimes]: Trying to branch on a from (# # # # # #) 2.666 * * * [regime]: Found split indices: #