0.827 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.017 * * * [progress]: [2/2] Setting up program. 1.022 * [progress]: [Phase 2 of 3] Improving. 1.025 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.030 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.031 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.033 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.034 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.036 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.042 * * [simplify]: iteration 5 : 1268 enodes (cost 6 ) 1.069 * * [simplify]: iteration 6 : 5001 enodes (cost 6 ) 1.070 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.072 * * [progress]: iteration 1 / 4 1.072 * * * [progress]: picking best candidate 1.075 * * * * [pick]: Picked # 1.075 * * * [progress]: localizing error 1.086 * * * [progress]: generating rewritten candidates 1.087 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.088 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.089 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.094 * * * [progress]: generating series expansions 1.094 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.098 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.099 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.100 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.101 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.101 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.101 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.102 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.102 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.102 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.102 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.102 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.102 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.103 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.103 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.103 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.103 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.104 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.104 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.104 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.105 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.105 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.105 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.105 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.105 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.105 * [taylor]: Taking taylor expansion of (log1p a) in a 1.105 * [taylor]: Rewrote expression to (log (+ 1 a)) 1.106 * [taylor]: Taking taylor expansion of (+ 1 a) in a 1.106 * [taylor]: Taking taylor expansion of 1 in a 1.106 * [taylor]: Taking taylor expansion of a in a 1.107 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.107 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.110 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.110 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.110 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.110 * [taylor]: Taking taylor expansion of (log1p a) in a 1.110 * [taylor]: Rewrote expression to (log (+ 1 a)) 1.110 * [taylor]: Taking taylor expansion of (+ 1 a) in a 1.110 * [taylor]: Taking taylor expansion of 1 in a 1.110 * [taylor]: Taking taylor expansion of a in a 1.110 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.110 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.127 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.127 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.127 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.127 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.128 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.128 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 1.128 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 1.128 * [taylor]: Taking taylor expansion of 1 in a 1.128 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.128 * [taylor]: Taking taylor expansion of a in a 1.129 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.129 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.130 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.130 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.130 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.130 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.130 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 1.130 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 1.130 * [taylor]: Taking taylor expansion of 1 in a 1.130 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.130 * [taylor]: Taking taylor expansion of a in a 1.131 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.131 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.142 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.142 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.142 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.142 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.142 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.142 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 1.142 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 1.142 * [taylor]: Taking taylor expansion of 1 in a 1.142 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.142 * [taylor]: Taking taylor expansion of -1 in a 1.142 * [taylor]: Taking taylor expansion of a in a 1.143 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.143 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.145 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.145 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.145 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.145 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.145 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 1.145 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 1.145 * [taylor]: Taking taylor expansion of 1 in a 1.145 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.145 * [taylor]: Taking taylor expansion of -1 in a 1.145 * [taylor]: Taking taylor expansion of a in a 1.146 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.146 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.162 * * * [progress]: simplifying candidates 1.163 * [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)))) (expm1 (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p (pow (fmod (cosh a) (* a a)) (log1p a))) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (pow (fmod (cosh a) (* a a)) 1) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (* (* (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p 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))) (- (+ (* 1/2 (* (pow a 2) (pow (log (fmod (cosh a) (pow a 2))) 2))) (+ (* a (log (fmod (cosh a) (pow a 2)))) 1)) (* 1/2 (* (pow a 2) (log (fmod (cosh a) (pow a 2)))))) (- (+ (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (+ (* 1/2 (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (pow (log (fmod (cosh a) (pow a 2))) 2)) (pow a 2))) (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (log (fmod (cosh a) (pow a 2)))) a))) (* 1/2 (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (log (fmod (cosh a) (pow a 2)))) (pow a 2)))) (- (+ (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (+ (* 1/2 (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (pow (log (fmod (cosh a) (pow a 2))) 2)) (pow a 2))) (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) a))) (* 1/2 (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) (pow a 2)))) 1.167 * * [simplify]: iteration 0 : 220 enodes (cost 450 ) 1.171 * * [simplify]: iteration 1 : 820 enodes (cost 423 ) 1.187 * * [simplify]: iteration 2 : 3547 enodes (cost 413 ) 1.263 * * [simplify]: iteration 3 : 5002 enodes (cost 405 ) 1.266 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (pow a 2))) (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) (pow (fmod (cosh a) (* a a)) 1/2) (pow (fmod (cosh a) (* a a)) 1/2) (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)))) (expm1 (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p (pow (fmod (cosh a) (* a a)) (log1p a))) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p a) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (fmod (cosh a) (* a a)) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (pow a 2)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (pow (fmod (cosh a) (pow a 2)) (log1p a)) 3) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (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))) (+ (fma (* 1/2 (pow a 2)) (pow (log (fmod (cosh a) (pow a 2))) 2) 1) (* (log (fmod (cosh a) (pow a 2))) (- a (* 1/2 (pow a 2))))) (+ (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a)))) (fma (- 1/2) (/ (* (/ (log (fmod (cosh a) (pow a 2))) a) (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))) a) (fma (/ (/ 1/2 (pow (fmod (cosh a) (* a a)) (log (/ 1 a)))) a) (/ (pow (log (fmod (cosh a) (pow a 2))) 2) a) (/ (log (fmod (cosh a) (pow a 2))) (/ a (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))))))) (+ (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a)))) (fma (- 1/2) (/ (* (/ (log (fmod (cosh a) (pow a 2))) a) (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))) a) (fma (/ (/ 1/2 (pow (fmod (cosh a) (* a a)) (log (/ 1 a)))) a) (/ (pow (log (fmod (cosh a) (pow a 2))) 2) a) (/ (log (fmod (cosh a) (pow a 2))) (/ a (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))))))) 1.266 * * * [progress]: adding candidates to table 1.382 * * [progress]: iteration 2 / 4 1.382 * * * [progress]: picking best candidate 1.405 * * * * [pick]: Picked # 1.405 * * * [progress]: localizing error 1.419 * * * [progress]: generating rewritten candidates 1.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.420 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.422 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.423 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.427 * * * [progress]: generating series expansions 1.427 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.427 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.427 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.427 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.428 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.428 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.428 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.428 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.428 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.428 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.429 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.429 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.429 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.429 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.429 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.430 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.430 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.430 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.430 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.431 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.431 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.431 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.431 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.432 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.432 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.432 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.433 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.433 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.433 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.434 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.434 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.434 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.434 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.434 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.434 * [taylor]: Taking taylor expansion of (log1p a) in a 1.434 * [taylor]: Rewrote expression to (log (+ 1 a)) 1.434 * [taylor]: Taking taylor expansion of (+ 1 a) in a 1.434 * [taylor]: Taking taylor expansion of 1 in a 1.434 * [taylor]: Taking taylor expansion of a in a 1.435 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.435 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.437 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.437 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.437 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.437 * [taylor]: Taking taylor expansion of (log1p a) in a 1.437 * [taylor]: Rewrote expression to (log (+ 1 a)) 1.437 * [taylor]: Taking taylor expansion of (+ 1 a) in a 1.437 * [taylor]: Taking taylor expansion of 1 in a 1.437 * [taylor]: Taking taylor expansion of a in a 1.438 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.438 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.445 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.445 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.445 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.445 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.445 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.445 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 1.445 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 1.445 * [taylor]: Taking taylor expansion of 1 in a 1.445 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.445 * [taylor]: Taking taylor expansion of a in a 1.446 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.446 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.447 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.447 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.447 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.447 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.447 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 1.447 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 1.447 * [taylor]: Taking taylor expansion of 1 in a 1.447 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.447 * [taylor]: Taking taylor expansion of a in a 1.448 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.448 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.459 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.459 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.459 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.459 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.459 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.460 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 1.460 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 1.460 * [taylor]: Taking taylor expansion of 1 in a 1.460 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.460 * [taylor]: Taking taylor expansion of -1 in a 1.460 * [taylor]: Taking taylor expansion of a in a 1.461 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.461 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.462 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.462 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.462 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.462 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.462 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 1.462 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 1.462 * [taylor]: Taking taylor expansion of 1 in a 1.462 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.462 * [taylor]: Taking taylor expansion of -1 in a 1.462 * [taylor]: Taking taylor expansion of a in a 1.463 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.463 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.479 * * * [progress]: simplifying candidates 1.480 * [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 (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log1p (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (* 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) 1) (pow 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (log (exp 1)) (log1p a)) (pow (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (log1p a)) (pow (cbrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (log (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (* (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (sqrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (sqrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) (/ (log1p a) 2)) (pow (log (exp (fmod (cosh a) (* a a)))) (/ (log1p 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)) (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))) (- (+ (* 1/2 (* (pow a 2) (pow (log (fmod (cosh a) (pow a 2))) 2))) (+ (* a (log (fmod (cosh a) (pow a 2)))) 1)) (* 1/2 (* (pow a 2) (log (fmod (cosh a) (pow a 2)))))) (- (+ (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (+ (* 1/2 (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (pow (log (fmod (cosh a) (pow a 2))) 2)) (pow a 2))) (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (log (fmod (cosh a) (pow a 2)))) a))) (* 1/2 (/ (* (exp (* -1 (* (log (/ 1 a)) (log (fmod (cosh a) (pow a 2)))))) (log (fmod (cosh a) (pow a 2)))) (pow a 2)))) (- (+ (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (+ (* 1/2 (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (pow (log (fmod (cosh a) (pow a 2))) 2)) (pow a 2))) (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) a))) (* 1/2 (/ (* (pow (fmod (cosh a) (pow a 2)) (- (log -1) (log (/ -1 a)))) (log (fmod (cosh a) (pow a 2)))) (pow a 2)))) 1.485 * * [simplify]: iteration 0 : 265 enodes (cost 654 ) 1.489 * * [simplify]: iteration 1 : 902 enodes (cost 598 ) 1.505 * * [simplify]: iteration 2 : 3693 enodes (cost 588 ) 1.579 * * [simplify]: iteration 3 : 5001 enodes (cost 580 ) 1.582 * [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)))) (expm1 (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log1p (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (log1p a) (log (fmod (cosh a) (* a a)))) (* (log1p a) (log (fmod (cosh a) (* a a)))) (log1p a) (pow (log (exp (fmod (cosh a) (* a a)))) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (fmod (cosh a) (* a a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) 1 (pow (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (* (log1p a) (log (fmod (cosh a) (* a a)))) (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (pow (fmod (cosh a) (* a a)) (log1p a)) 3) (fabs (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2))) (fabs (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (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))) (+ (fma (* 1/2 (pow a 2)) (pow (log (fmod (cosh a) (pow a 2))) 2) 1) (* (log (fmod (cosh a) (* a a))) (- a (* 1/2 (pow a 2))))) (+ (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a)))) (fma (- 1/2) (/ (* (/ (log (fmod (cosh a) (* a a))) a) (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))) a) (fma (/ (/ 1/2 (pow (fmod (cosh a) (* a a)) (log (/ 1 a)))) a) (/ (pow (log (fmod (cosh a) (pow a 2))) 2) a) (/ (log (fmod (cosh a) (* a a))) (/ a (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))))))) (+ (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a)))) (fma (- 1/2) (/ (* (/ (log (fmod (cosh a) (* a a))) a) (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))) a) (fma (/ (/ 1/2 (pow (fmod (cosh a) (* a a)) (log (/ 1 a)))) a) (/ (pow (log (fmod (cosh a) (pow a 2))) 2) a) (/ (log (fmod (cosh a) (* a a))) (/ a (pow (fmod (cosh a) (* a a)) (* -1 (log (/ 1 a))))))))) 1.583 * * * [progress]: adding candidates to table 1.764 * * [progress]: iteration 3 / 4 1.764 * * * [progress]: picking best candidate 1.796 * * * * [pick]: Picked # 1.796 * * * [progress]: localizing error 1.815 * * * [progress]: generating rewritten candidates 1.815 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1 2 1) 1.816 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 1.817 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.817 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.827 * * * [progress]: generating series expansions 1.827 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1 2 1) 1.827 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.827 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.827 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.828 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.828 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.828 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.828 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.828 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.829 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.829 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 1 1) 1.829 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.829 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.829 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.829 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.830 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.830 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.830 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.830 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.830 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.831 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.831 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.831 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.831 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.831 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.831 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.832 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.832 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.832 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.832 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.833 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.833 * [approximate]: Taking taylor expansion of (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) in (a) around 0 1.833 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) in a 1.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh a) (pow a 2)) 2)))) in a 1.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh a) (pow a 2)) 2))) in a 1.833 * [taylor]: Taking taylor expansion of 1/3 in a 1.833 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh a) (pow a 2)) 2)) in a 1.833 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) 2) in a 1.833 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.834 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) in a 1.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh a) (pow a 2)) 2)))) in a 1.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh a) (pow a 2)) 2))) in a 1.834 * [taylor]: Taking taylor expansion of 1/3 in a 1.834 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh a) (pow a 2)) 2)) in a 1.834 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) 2) in a 1.834 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.877 * [approximate]: Taking taylor expansion of (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) 1/3) in (a) around 0 1.877 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) 1/3) in a 1.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2)))) in a 1.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2))) in a 1.878 * [taylor]: Taking taylor expansion of 1/3 in a 1.878 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2)) in a 1.878 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) in a 1.878 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.878 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) 1/3) in a 1.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2)))) in a 1.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2))) in a 1.878 * [taylor]: Taking taylor expansion of 1/3 in a 1.878 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2)) in a 1.878 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) 2) in a 1.878 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.925 * [approximate]: Taking taylor expansion of (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) 1/3) in (a) around 0 1.925 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) 1/3) in a 1.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2)))) in a 1.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2))) in a 1.925 * [taylor]: Taking taylor expansion of 1/3 in a 1.925 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2)) in a 1.926 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) in a 1.926 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.926 * [taylor]: Taking taylor expansion of (pow (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) 1/3) in a 1.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2)))) in a 1.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2))) in a 1.926 * [taylor]: Taking taylor expansion of 1/3 in a 1.926 * [taylor]: Taking taylor expansion of (log (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2)) in a 1.926 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) 2) in a 1.926 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.970 * * * [progress]: simplifying candidates 1.971 * [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 (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 (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 (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log1p (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (* (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (log (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log 1) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (cbrt (fmod (cosh a) (* a a))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (cbrt (fmod (cosh a) (* a a))))) (log (exp (* (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (log (exp (sqrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (exp 1)) (log (exp (* (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (log (exp (* (cbrt (sqrt (fmod (cosh a) (* a a)))) (cbrt (sqrt (fmod (cosh a) (* a a))))))) (log (exp (* (cbrt 1) (cbrt 1)))) (log (exp (* (* (cbrt (cbrt (fmod (cosh a) (* a a)))) (cbrt (cbrt (fmod (cosh a) (* a a))))) (* (cbrt (cbrt (fmod (cosh a) (* a a)))) (cbrt (cbrt (fmod (cosh a) (* a a)))))))) (log (exp (* (sqrt (cbrt (fmod (cosh a) (* a a)))) (sqrt (cbrt (fmod (cosh a) (* a a))))))) (log (exp (* 1 1))) (log (exp (* (cbrt (sqrt (fmod (cosh a) (* a a)))) (cbrt (sqrt (fmod (cosh a) (* a a))))))) (log (exp (* (cbrt (sqrt (fmod (cosh a) (* a a)))) (sqrt (cbrt (fmod (cosh a) (* a a))))))) (log (exp (* (sqrt (cbrt (fmod (cosh a) (* a a)))) (cbrt (sqrt (fmod (cosh a) (* a a))))))) (log (exp (* (sqrt (cbrt (fmod (cosh a) (* a a)))) (sqrt (cbrt (fmod (cosh a) (* a a))))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (sqrt (fmod (cosh a) (* a a))))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt 1)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (* (cbrt (cbrt (fmod (cosh a) (* a a)))) (cbrt (cbrt (fmod (cosh a) (* a a)))))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (sqrt (cbrt (fmod (cosh a) (* a a))))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) 1))) (log (exp (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (exp (cbrt (sqrt (fmod (cosh a) (* a a)))))) (log (exp (cbrt 1))) (log (exp (* (cbrt (cbrt (fmod (cosh a) (* a a)))) (cbrt (cbrt (fmod (cosh a) (* a a))))))) (log (exp (sqrt (cbrt (fmod (cosh a) (* a a)))))) (log (exp 1)) (log (exp (cbrt (fmod (cosh a) (* a a))))) (log (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (exp (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (* (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (cbrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (* (* (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (sqrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (sqrt (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a 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)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) 1.976 * * [simplify]: iteration 0 : 155 enodes (cost 615 ) 1.978 * * [simplify]: iteration 1 : 401 enodes (cost 543 ) 1.985 * * [simplify]: iteration 2 : 1565 enodes (cost 507 ) 2.008 * * [simplify]: iteration 3 : 5002 enodes (cost 494 ) 2.010 * [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))) (pow (sqrt (cbrt (fmod (cosh a) (* a a)))) 4) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (pow (fmod (cosh a) (pow a 2)) 1/2) (pow (fmod (cosh a) (pow a 2)) 1/2) (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (pow (sqrt (cbrt (fmod (cosh a) (* a a)))) 4) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (pow (fmod (cosh a) (pow a 2)) 1/2) (pow (fmod (cosh a) (pow a 2)) 1/2) (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (pow (sqrt (cbrt (fmod (cosh a) (* a a)))) 4) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (pow (fmod (cosh a) (pow a 2)) 1/2) (pow (fmod (cosh a) (pow a 2)) 1/2) (expm1 (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log1p (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (* 2 (log (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))) (log (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))) 0 (pow (sqrt (cbrt (fmod (cosh a) (* a a)))) 4) (cbrt (fmod (cosh a) (* a a))) (pow (sqrt (cbrt (fmod (cosh a) (* a a)))) 4) (cbrt (fmod (cosh a) (* a a))) (* (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (fabs (cbrt (fmod (cosh a) (* a a)))) 1 (* (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (* (cbrt (sqrt (fmod (cosh a) (* a a)))) (cbrt (sqrt (fmod (cosh a) (* a a))))) 1 (pow (cbrt (cbrt (fmod (cosh a) (* a a)))) 4) (cbrt (fmod (cosh a) (* a a))) 1 (* (cbrt (sqrt (fmod (cosh a) (* a a)))) (cbrt (sqrt (fmod (cosh a) (* a a))))) (* (cbrt (sqrt (fmod (cosh a) (* a a)))) (sqrt (cbrt (fmod (cosh a) (* a a))))) (* (cbrt (sqrt (fmod (cosh a) (* a a)))) (sqrt (cbrt (fmod (cosh a) (* a a))))) (cbrt (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (sqrt (fmod (cosh a) (* a a))))) (cbrt (fmod (cosh a) (* a a))) (pow (cbrt (cbrt (fmod (cosh a) (* a a)))) 5) (pow (sqrt (cbrt (fmod (cosh a) (* a a)))) 3) (cbrt (fmod (cosh a) (* a a))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))) (cbrt (sqrt (fmod (cosh a) (* a a)))) 1 (* (cbrt (cbrt (fmod (cosh a) (* a a)))) (cbrt (cbrt (fmod (cosh a) (* a a))))) (sqrt (cbrt (fmod (cosh a) (* a a)))) 1 (cbrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (fmod (cosh a) (* a a))))) (sqrt (exp (* (pow (sqrt (cbrt (fmod (cosh a) (* a a)))) 4) 2))) (* (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (cbrt (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))) (pow (fmod (cosh a) (pow a 2)) 2) (fabs (cbrt (fmod (cosh a) (* a a)))) (fabs (cbrt (fmod (cosh a) (* a 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)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) (pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3) 2.011 * * * [progress]: adding candidates to table 2.274 * * [progress]: iteration 4 / 4 2.274 * * * [progress]: picking best candidate 2.312 * * * * [pick]: Picked # 2.313 * * * [progress]: localizing error 2.332 * * * [progress]: generating rewritten candidates 2.332 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2 1 1 1 2 1) 2.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1 1 1 1) 2.334 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1 1 2 1) 2.334 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1 1 1) 2.336 * * * [progress]: generating series expansions 2.336 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2 1 1 1 2 1) 2.336 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.336 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.336 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.336 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.336 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.337 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.337 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.337 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.337 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.338 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1 1 1 1) 2.338 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.338 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.338 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.338 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.338 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.338 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.339 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.339 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.339 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.339 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1 1 2 1) 2.339 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.339 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.339 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.340 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.340 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.340 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.340 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.340 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.341 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.341 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1 1 1) 2.341 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.341 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.341 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.342 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.342 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.342 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.342 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.342 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.343 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.343 * * * [progress]: simplifying candidates 2.344 * [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 (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 (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 (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))) (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)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.346 * * [simplify]: iteration 0 : 25 enodes (cost 228 ) 2.348 * * [simplify]: iteration 1 : 42 enodes (cost 200 ) 2.349 * * [simplify]: iteration 2 : 94 enodes (cost 200 ) 2.352 * * [simplify]: iteration 3 : 232 enodes (cost 200 ) 2.359 * * [simplify]: iteration 4 : 1059 enodes (cost 200 ) 2.400 * * [simplify]: iteration 5 : 5003 enodes (cost 200 ) 2.402 * [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 (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 (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 (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))) (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)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.402 * * * [progress]: adding candidates to table 2.640 * [progress]: [Phase 3 of 3] Extracting. 2.641 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.646 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 2.646 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # # # # #) 2.710 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# #) 2.736 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # # # # #) 2.799 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # #) 2.853 * * * [regime]: Found split indices: #