0.818 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.972 * * * [progress]: [2/2] Setting up program. 0.977 * [progress]: [Phase 2 of 3] Improving. 0.979 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 0.983 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.985 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.986 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 0.988 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 0.990 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 0.996 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.025 * * [simplify]: iteration 6 : 5002 enodes (cost 6 ) 1.026 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.027 * * [progress]: iteration 1 / 4 1.027 * * * [progress]: picking best candidate 1.030 * * * * [pick]: Picked # 1.030 * * * [progress]: localizing error 1.041 * * * [progress]: generating rewritten candidates 1.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.045 * * * [progress]: generating series expansions 1.045 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.049 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.050 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.052 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.053 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.053 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.053 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.054 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.054 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.054 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.054 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.055 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.055 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.055 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.055 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.055 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.056 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.056 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.056 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.057 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.057 * * * [progress]: simplifying candidates 1.058 * [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))) 1.061 * * [simplify]: iteration 0 : 48 enodes (cost 166 ) 1.062 * * [simplify]: iteration 1 : 76 enodes (cost 146 ) 1.064 * * [simplify]: iteration 2 : 160 enodes (cost 146 ) 1.067 * * [simplify]: iteration 3 : 411 enodes (cost 146 ) 1.079 * * [simplify]: iteration 4 : 2000 enodes (cost 146 ) 1.141 * * [simplify]: iteration 5 : 5001 enodes (cost 146 ) 1.142 * [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))) 1.143 * * * [progress]: adding candidates to table 1.223 * * [progress]: iteration 2 / 4 1.223 * * * [progress]: picking best candidate 1.240 * * * * [pick]: Picked # 1.241 * * * [progress]: localizing error 1.253 * * * [progress]: generating rewritten candidates 1.253 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1 1) 1.253 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.255 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.256 * * * [progress]: generating series expansions 1.256 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1 1) 1.256 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.256 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.256 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.256 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.257 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.257 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.257 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.257 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.257 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.258 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.258 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.258 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.258 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.258 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.258 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.259 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.259 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.259 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.259 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.260 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.260 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.260 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.260 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.261 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.261 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.261 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.262 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.262 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.262 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.263 * * * [progress]: simplifying candidates 1.263 * [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))) 1.267 * * [simplify]: iteration 0 : 79 enodes (cost 299 ) 1.268 * * [simplify]: iteration 1 : 113 enodes (cost 260 ) 1.270 * * [simplify]: iteration 2 : 227 enodes (cost 260 ) 1.274 * * [simplify]: iteration 3 : 599 enodes (cost 260 ) 1.291 * * [simplify]: iteration 4 : 2974 enodes (cost 260 ) 1.370 * * [simplify]: iteration 5 : 5001 enodes (cost 260 ) 1.371 * [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))) 1.372 * * * [progress]: adding candidates to table 1.519 * * [progress]: iteration 3 / 4 1.519 * * * [progress]: picking best candidate 1.541 * * * * [pick]: Picked # 1.541 * * * [progress]: localizing error 1.557 * * * [progress]: generating rewritten candidates 1.557 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1 1) 1.558 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.559 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.560 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.561 * * * [progress]: generating series expansions 1.561 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1 1) 1.561 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.561 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.561 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.562 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.562 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.562 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.562 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.562 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.562 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.563 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.563 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.563 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.563 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.564 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.564 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.564 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.564 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.564 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.564 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.565 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.565 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.565 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.565 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.566 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.566 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.566 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.567 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 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 (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.568 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.568 * [approximate]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 1.568 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.568 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.568 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.569 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.592 * [approximate]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in (a) around 0 1.592 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.592 * [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 1.619 * [approximate]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in (a) around 0 1.619 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.619 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.619 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.619 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.643 * * * [progress]: simplifying candidates 1.644 * [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)))) 1.649 * * [simplify]: iteration 0 : 94 enodes (cost 499 ) 1.651 * * [simplify]: iteration 1 : 137 enodes (cost 429 ) 1.653 * * [simplify]: iteration 2 : 264 enodes (cost 429 ) 1.657 * * [simplify]: iteration 3 : 672 enodes (cost 429 ) 1.676 * * [simplify]: iteration 4 : 3314 enodes (cost 429 ) 1.763 * * [simplify]: iteration 5 : 5001 enodes (cost 427 ) 1.765 * [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)))) 1.765 * * * [progress]: adding candidates to table 1.980 * * [progress]: iteration 4 / 4 1.980 * * * [progress]: picking best candidate 2.004 * * * * [pick]: Picked # 2.004 * * * [progress]: localizing error 2.024 * * * [progress]: generating rewritten candidates 2.024 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1 1 1 1) 2.024 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1) 2.026 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.026 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.027 * * * [progress]: generating series expansions 2.027 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1 1 1 1) 2.027 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.027 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.027 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.028 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.028 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.028 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.028 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.028 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.029 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.029 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1) 2.029 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.029 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.029 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.030 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.030 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.030 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.030 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.030 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.031 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.031 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.031 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 2.031 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.031 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.032 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 2.032 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.032 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.033 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 2.033 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.033 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.034 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.034 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in (a) around 0 2.034 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.035 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))))) 2.035 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.035 * [taylor]: Taking taylor expansion of 1 in a 2.035 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.035 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) 1) 2.035 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.035 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 2.035 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.035 * [taylor]: Taking taylor expansion of 1 in a 2.037 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.037 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))))) 2.037 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))) in a 2.037 * [taylor]: Taking taylor expansion of 1 in a 2.037 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.037 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) 1) 2.037 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) in a 2.037 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 2.037 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.037 * [taylor]: Taking taylor expansion of 1 in a 2.099 * [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 2.099 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.099 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))))) 2.099 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.099 * [taylor]: Taking taylor expansion of 1 in a 2.099 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.099 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) 1) 2.099 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.099 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 2.099 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.099 * [taylor]: Taking taylor expansion of 1 in a 2.100 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.100 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))))) 2.100 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))))) in a 2.100 * [taylor]: Taking taylor expansion of 1 in a 2.100 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.100 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) 1) 2.101 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))))) in a 2.101 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 2.101 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.101 * [taylor]: Taking taylor expansion of 1 in a 2.160 * [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 2.160 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.160 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))))) 2.160 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.160 * [taylor]: Taking taylor expansion of 1 in a 2.160 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.160 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) 1) 2.160 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.160 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 2.160 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.161 * [taylor]: Taking taylor expansion of 1 in a 2.161 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.162 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))))) 2.162 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))))) in a 2.162 * [taylor]: Taking taylor expansion of 1 in a 2.162 * [taylor]: Taking taylor expansion of (expm1 (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.162 * [taylor]: Rewrote expression to (- (exp (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) 1) 2.162 * [taylor]: Taking taylor expansion of (exp (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))))) in a 2.162 * [taylor]: Taking taylor expansion of (log (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 2.162 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.162 * [taylor]: Taking taylor expansion of 1 in a 2.225 * * * [progress]: simplifying candidates 2.226 * [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)))) 2.230 * * [simplify]: iteration 0 : 94 enodes (cost 469 ) 2.232 * * [simplify]: iteration 1 : 131 enodes (cost 399 ) 2.234 * * [simplify]: iteration 2 : 249 enodes (cost 399 ) 2.237 * * [simplify]: iteration 3 : 631 enodes (cost 399 ) 2.254 * * [simplify]: iteration 4 : 3037 enodes (cost 399 ) 2.332 * * [simplify]: iteration 5 : 5002 enodes (cost 399 ) 2.334 * [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)))) 2.334 * * * [progress]: adding candidates to table 2.566 * [progress]: [Phase 3 of 3] Extracting. 2.566 * * [regime]: Finding splitpoints for: (# # # # # #) 2.569 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 2.569 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # #) 2.616 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# #) 2.640 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # #) 2.687 * * * * [regimes]: Trying to branch on a from (# # # # # #) 2.719 * * * [regime]: Found split indices: #