0.800 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.017 * * * [progress]: [2/2] Setting up program. 1.021 * [progress]: [Phase 2 of 3] Improving. 1.023 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.027 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.028 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.030 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.031 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.034 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.040 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.067 * * [simplify]: iteration 6 : 5002 enodes (cost 6 ) 1.068 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.069 * * [progress]: iteration 1 / 4 1.070 * * * [progress]: picking best candidate 1.073 * * * * [pick]: Picked # 1.073 * * * [progress]: localizing error 1.084 * * * [progress]: generating rewritten candidates 1.085 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.085 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.086 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 1.088 * * * [progress]: generating series expansions 1.089 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.093 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.093 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.095 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.096 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.096 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.096 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.097 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.097 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.098 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.098 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.098 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.098 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.098 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.099 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.099 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.099 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.100 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.100 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.100 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.101 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 1.101 * [approximate]: Taking taylor expansion of (cosh a) in (a) around 0 1.101 * [taylor]: Taking taylor expansion of (cosh a) in a 1.101 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.101 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.101 * [taylor]: Taking taylor expansion of (exp a) in a 1.101 * [taylor]: Taking taylor expansion of a in a 1.101 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.101 * [taylor]: Taking taylor expansion of (- a) in a 1.101 * [taylor]: Taking taylor expansion of a in a 1.102 * [taylor]: Taking taylor expansion of 2 in a 1.103 * [taylor]: Taking taylor expansion of (cosh a) in a 1.103 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.103 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.103 * [taylor]: Taking taylor expansion of (exp a) in a 1.103 * [taylor]: Taking taylor expansion of a in a 1.104 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.104 * [taylor]: Taking taylor expansion of (- a) in a 1.104 * [taylor]: Taking taylor expansion of a in a 1.104 * [taylor]: Taking taylor expansion of 2 in a 1.130 * [approximate]: Taking taylor expansion of (cosh (/ 1 a)) in (a) around 0 1.130 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.130 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.130 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.130 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) 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 (exp (- (/ 1 a))) in a 1.131 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.131 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.131 * [taylor]: Taking taylor expansion of a in a 1.132 * [taylor]: Taking taylor expansion of 2 in a 1.132 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.132 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.132 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.132 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.132 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.132 * [taylor]: Taking taylor expansion of a in a 1.132 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.132 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.132 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.132 * [taylor]: Taking taylor expansion of a in a 1.133 * [taylor]: Taking taylor expansion of 2 in a 1.143 * [approximate]: Taking taylor expansion of (cosh (/ -1 a)) in (a) around 0 1.143 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.143 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.144 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.144 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.144 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.144 * [taylor]: Taking taylor expansion of -1 in a 1.144 * [taylor]: Taking taylor expansion of a in a 1.144 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.144 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.144 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.144 * [taylor]: Taking taylor expansion of -1 in a 1.144 * [taylor]: Taking taylor expansion of a in a 1.145 * [taylor]: Taking taylor expansion of 2 in a 1.145 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.145 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.145 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.145 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) 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 1.145 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.145 * [taylor]: Taking taylor expansion of (- (/ -1 a)) 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 2 in a 1.156 * * * [progress]: simplifying candidates 1.157 * [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 (cosh a)) (log1p (cosh a)) (+ (exp a) (exp (- a))) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (* (* (cosh a) (cosh a)) (cosh a)) (sqrt (cosh a)) (sqrt (cosh 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))) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (* 1/2 (+ (exp (- a)) (exp a))) (* 1/2 (+ (exp (* -1 a)) (exp a))) 1.160 * * [simplify]: iteration 0 : 104 enodes (cost 208 ) 1.162 * * [simplify]: iteration 1 : 216 enodes (cost 185 ) 1.166 * * [simplify]: iteration 2 : 693 enodes (cost 177 ) 1.185 * * [simplify]: iteration 3 : 4157 enodes (cost 175 ) 1.313 * * [simplify]: iteration 4 : 5001 enodes (cost 175 ) 1.314 * [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)))) (expm1 (cosh a)) (log1p (cosh a)) (* (cosh a) 2) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (pow (cosh a) 3) (sqrt (cosh a)) (sqrt (cosh 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))) (fma 1/2 (pow a 2) (fma 1/24 (pow a 4) 1)) (cosh a) (cosh a) 1.314 * * * [progress]: adding candidates to table 1.432 * * [progress]: iteration 2 / 4 1.432 * * * [progress]: picking best candidate 1.455 * * * * [pick]: Picked # 1.455 * * * [progress]: localizing error 1.467 * * * [progress]: generating rewritten candidates 1.467 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.468 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.469 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.469 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 1.471 * * * [progress]: generating series expansions 1.471 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.471 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.471 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.471 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.471 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.471 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.471 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.472 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.472 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.472 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.473 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.473 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.473 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.473 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.473 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.473 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.473 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.474 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.474 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.474 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.475 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.475 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.475 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.475 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.476 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.476 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.476 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.477 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.477 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.477 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.478 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.478 * [approximate]: Taking taylor expansion of (cosh a) in (a) around 0 1.478 * [taylor]: Taking taylor expansion of (cosh a) in a 1.478 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.478 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.478 * [taylor]: Taking taylor expansion of (exp a) in a 1.478 * [taylor]: Taking taylor expansion of a in a 1.478 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.478 * [taylor]: Taking taylor expansion of (- a) in a 1.478 * [taylor]: Taking taylor expansion of a in a 1.478 * [taylor]: Taking taylor expansion of 2 in a 1.479 * [taylor]: Taking taylor expansion of (cosh a) in a 1.479 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.479 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.479 * [taylor]: Taking taylor expansion of (exp a) in a 1.479 * [taylor]: Taking taylor expansion of a in a 1.479 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.479 * [taylor]: Taking taylor expansion of (- a) in a 1.479 * [taylor]: Taking taylor expansion of a in a 1.480 * [taylor]: Taking taylor expansion of 2 in a 1.499 * [approximate]: Taking taylor expansion of (cosh (/ 1 a)) in (a) around 0 1.499 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.499 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.499 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.499 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.499 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.499 * [taylor]: Taking taylor expansion of a in a 1.500 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.500 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.500 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.500 * [taylor]: Taking taylor expansion of a in a 1.500 * [taylor]: Taking taylor expansion of 2 in a 1.500 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.500 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.500 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.500 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.500 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.500 * [taylor]: Taking taylor expansion of a in a 1.501 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.501 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.501 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.501 * [taylor]: Taking taylor expansion of a in a 1.501 * [taylor]: Taking taylor expansion of 2 in a 1.511 * [approximate]: Taking taylor expansion of (cosh (/ -1 a)) in (a) around 0 1.511 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.512 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.512 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.512 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.512 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.512 * [taylor]: Taking taylor expansion of -1 in a 1.512 * [taylor]: Taking taylor expansion of a in a 1.512 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.512 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.512 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.512 * [taylor]: Taking taylor expansion of -1 in a 1.512 * [taylor]: Taking taylor expansion of a in a 1.513 * [taylor]: Taking taylor expansion of 2 in a 1.513 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.513 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.513 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.513 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.513 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.513 * [taylor]: Taking taylor expansion of -1 in a 1.513 * [taylor]: Taking taylor expansion of a in a 1.513 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.513 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.513 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.513 * [taylor]: Taking taylor expansion of -1 in a 1.513 * [taylor]: Taking taylor expansion of a in a 1.514 * [taylor]: Taking taylor expansion of 2 in a 1.524 * * * [progress]: simplifying candidates 1.525 * [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 (cosh a)) (log1p (cosh a)) (+ (exp a) (exp (- a))) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (* (* (cosh a) (cosh a)) (cosh a)) (sqrt (cosh a)) (sqrt (cosh 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))) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (* 1/2 (+ (exp (- a)) (exp a))) (* 1/2 (+ (exp (* -1 a)) (exp a))) 1.529 * * [simplify]: iteration 0 : 132 enodes (cost 341 ) 1.531 * * [simplify]: iteration 1 : 250 enodes (cost 299 ) 1.535 * * [simplify]: iteration 2 : 768 enodes (cost 291 ) 1.555 * * [simplify]: iteration 3 : 4567 enodes (cost 289 ) 1.687 * * [simplify]: iteration 4 : 5001 enodes (cost 289 ) 1.688 * [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 (cosh a)) (log1p (cosh a)) (* (cosh a) 2) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (pow (cosh a) 3) (sqrt (cosh a)) (sqrt (cosh 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))) (fma 1/2 (pow a 2) (fma 1/24 (pow a 4) 1)) (cosh a) (cosh a) 1.689 * * * [progress]: adding candidates to table 1.878 * * [progress]: iteration 3 / 4 1.878 * * * [progress]: picking best candidate 1.909 * * * * [pick]: Picked # 1.909 * * * [progress]: localizing error 1.923 * * * [progress]: generating rewritten candidates 1.923 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.923 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1) 1.924 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.925 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.928 * * * [progress]: generating series expansions 1.928 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1 1 1) 1.929 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.929 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.929 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.929 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.929 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.929 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.930 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.930 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.930 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.931 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1) 1.931 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.931 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.931 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.931 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.931 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.932 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.932 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.932 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.932 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.933 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.933 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in (a) around 0 1.933 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in a 1.933 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh a) (pow a 2)))) in a 1.933 * [taylor]: Taking taylor expansion of (exp (fmod (cosh a) (pow a 2))) in a 1.933 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.934 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in a 1.934 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh a) (pow a 2)))) in a 1.934 * [taylor]: Taking taylor expansion of (exp (fmod (cosh a) (pow a 2))) in a 1.934 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.968 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in (a) around 0 1.968 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.968 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.968 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.968 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.969 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.969 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.969 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.969 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.008 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in (a) around 0 2.009 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 2.009 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 2.009 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 2.009 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.010 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 2.010 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 2.010 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 2.010 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.044 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.044 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in (a) around 0 2.044 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in a 2.044 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh a) (pow a 2)))) in a 2.044 * [taylor]: Taking taylor expansion of (exp (fmod (cosh a) (pow a 2))) in a 2.044 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.045 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh a) (pow a 2))))) in a 2.045 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh a) (pow a 2)))) in a 2.045 * [taylor]: Taking taylor expansion of (exp (fmod (cosh a) (pow a 2))) in a 2.045 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.083 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in (a) around 0 2.083 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 2.083 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 2.083 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 2.083 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.085 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 2.085 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 2.085 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 2.085 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.119 * [approximate]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in (a) around 0 2.119 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 2.119 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 2.119 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 2.119 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.120 * [taylor]: Taking taylor expansion of (log (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 2.120 * [taylor]: Taking taylor expansion of (sqrt (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 2.120 * [taylor]: Taking taylor expansion of (exp (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 2.120 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.154 * * * [progress]: simplifying candidates 2.155 * [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 (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log1p (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log (* (cbrt (sqrt (exp (fmod (cosh a) (* a a))))) (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))) (log (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))) (log (sqrt (cbrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt 1)) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log 1) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a)))) (log (sqrt (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 (sqrt (exp (fmod (cosh a) (* a a)))))) (exp (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a))))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* (* (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (expm1 (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log1p (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log (* (cbrt (sqrt (exp (fmod (cosh a) (* a a))))) (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))) (log (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))) (log (sqrt (cbrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt 1)) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log 1) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a)))) (log (sqrt (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 (sqrt (exp (fmod (cosh a) (* a a)))))) (exp (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a))))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* (* (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (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)) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) 2.163 * * [simplify]: iteration 0 : 70 enodes (cost 532 ) 2.164 * * [simplify]: iteration 1 : 102 enodes (cost 478 ) 2.166 * * [simplify]: iteration 2 : 184 enodes (cost 478 ) 2.169 * * [simplify]: iteration 3 : 446 enodes (cost 474 ) 2.181 * * [simplify]: iteration 4 : 2034 enodes (cost 474 ) 2.241 * * [simplify]: iteration 5 : 5002 enodes (cost 474 ) 2.243 * [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) (pow a 2))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (pow a 2))) (* (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 (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log1p (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* 2 (log (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))) (log (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))) (log (sqrt (cbrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) 0 (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) 0 (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (fmod (cosh a) (* a a)) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (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 (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (exp (fmod (cosh a) (* a a)))) (* (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a))))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (pow (log (sqrt (exp (fmod (cosh a) (pow a 2))))) 3) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (expm1 (log (sqrt (exp (fmod (cosh a) (* a a)))))) (log1p (log (sqrt (exp (fmod (cosh a) (* a a)))))) (* 2 (log (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))) (log (cbrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))) (log (sqrt (cbrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) 0 (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) (log (sqrt (sqrt (exp (fmod (cosh a) (* a a)))))) 0 (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (fmod (cosh a) (* a a)) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (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 (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (exp (fmod (cosh a) (* a a)))) (* (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a))))))) (cbrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (pow (log (sqrt (exp (fmod (cosh a) (pow a 2))))) 3) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (sqrt (log (sqrt (exp (fmod (cosh a) (* a a)))))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) (log (sqrt (exp (fmod (cosh a) (pow a 2))))) 2.243 * * * [progress]: adding candidates to table 2.535 * * [progress]: iteration 4 / 4 2.536 * * * [progress]: picking best candidate 2.564 * * * * [pick]: Picked # 2.564 * * * [progress]: localizing error 2.579 * * * [progress]: generating rewritten candidates 2.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 2.579 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.580 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.599 * * * [progress]: generating series expansions 2.599 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 2.599 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.599 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.599 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.600 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.600 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.600 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.600 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.600 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.600 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.601 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 2.601 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.601 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.601 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.601 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.601 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.602 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.602 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.602 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.602 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.603 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.604 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 2.604 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 2.604 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.604 * [taylor]: Taking taylor expansion of 1/2 in a 2.604 * [taylor]: Taking taylor expansion of PI in a 2.604 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.604 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 2.604 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.604 * [taylor]: Taking taylor expansion of 1/2 in a 2.604 * [taylor]: Taking taylor expansion of PI in a 2.604 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.613 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in (a) around 0 2.613 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 2.613 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.613 * [taylor]: Taking taylor expansion of 1/2 in a 2.613 * [taylor]: Taking taylor expansion of PI in a 2.613 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.614 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 2.614 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.614 * [taylor]: Taking taylor expansion of 1/2 in a 2.614 * [taylor]: Taking taylor expansion of PI in a 2.614 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.623 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in (a) around 0 2.623 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 2.623 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.623 * [taylor]: Taking taylor expansion of 1/2 in a 2.623 * [taylor]: Taking taylor expansion of PI in a 2.623 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.623 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 2.623 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.623 * [taylor]: Taking taylor expansion of 1/2 in a 2.623 * [taylor]: Taking taylor expansion of PI in a 2.624 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.637 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.637 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 2.637 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.637 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 2.638 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 2.638 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.638 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 2.639 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 2.639 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.640 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 2.640 * * * [progress]: simplifying candidates 2.642 * [simplify]: Simplifying using # : (expm1 (fmod (cosh a) (* a a))) (log1p (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (expm1 (log (exp (fmod (cosh a) (* a a))))) (log1p (log (exp (fmod (cosh a) (* a a))))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (fma (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (cbrt (/ PI 2)) (- (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))) (fma (- (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (cbrt (/ PI 2)) (- (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (- (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (fma (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (cbrt (/ PI 2)) (- (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1))) (fma (- (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 1 (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1)) (fma (sqrt (/ PI 2)) (sqrt (/ PI 2)) (- (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))) (fma (- (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (sqrt (/ PI 2)) (sqrt (/ PI 2)) (- (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (- (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (fma (sqrt (/ PI 2)) (sqrt (/ PI 2)) (- (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1))) (fma (- (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 1 (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1)) (fma (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (/ (cbrt PI) (cbrt 2)) (- (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))) (fma (- (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (/ (cbrt PI) (cbrt 2)) (- (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (- (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (fma (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (/ (cbrt PI) (cbrt 2)) (- (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1))) (fma (- (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 1 (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1)) (fma (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (/ (cbrt PI) (sqrt 2)) (- (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))) (fma (- (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (/ (cbrt PI) (sqrt 2)) (- (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))) (fma (- (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))) (fma (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (/ (cbrt PI) (sqrt 2)) (- (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1))) (fma (- (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 1 (* (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) 1)) (fma (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) 2) (- (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))) (fma (- (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a 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(pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2.653 * * [simplify]: iteration 0 : 309 enodes (cost 2828 ) 2.657 * * [simplify]: iteration 1 : 761 enodes (cost 1452 ) 2.673 * * [simplify]: iteration 2 : 4010 enodes (cost 1427 ) 2.800 * * [simplify]: iteration 3 : 5001 enodes (cost 1398 ) 2.805 * [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 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(fma (- 1) (pow (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) 6) (/ (* PI PI) 4)) (fma 1/2 PI (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (+ (sqrt (/ PI 2)) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (- (sqrt (/ PI 2)) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 0 (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (expm1 (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (log1p (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (/ PI 2) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (pow E (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2.806 * * * [progress]: adding candidates to table 3.123 * [progress]: [Phase 3 of 3] Extracting. 3.123 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.126 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 3.126 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # #) 3.177 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # #) 3.228 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 3.265 * * * [regime]: Found split indices: #