0.794 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.971 * * * [progress]: [2/2] Setting up program. 0.976 * [progress]: [Phase 2 of 3] Improving. 0.979 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 0.981 * * [simplify]: iteration 0 : 7 enodes (cost 10 ) 0.985 * * [simplify]: iteration 1 : 16 enodes (cost 10 ) 0.987 * * [simplify]: iteration 2 : 24 enodes (cost 10 ) 0.991 * * [simplify]: iteration 3 : 44 enodes (cost 10 ) 0.998 * * [simplify]: iteration 4 : 85 enodes (cost 10 ) 1.022 * * [simplify]: iteration 5 : 185 enodes (cost 10 ) 1.112 * * [simplify]: iteration 6 : 565 enodes (cost 10 ) 1.818 * * [simplify]: iteration 7 : 2182 enodes (cost 10 ) 3.610 * * [simplify]: iteration done : 5000 enodes (cost 10 ) 3.610 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 3.611 * * [progress]: iteration 1 / 4 3.612 * * * [progress]: picking best candidate 3.615 * * * * [pick]: Picked # 3.615 * * * [progress]: localizing error 3.626 * * * [progress]: generating rewritten candidates 3.627 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 3.627 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.628 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 3.633 * * * [progress]: generating series expansions 3.633 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 3.637 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 3.637 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.639 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.640 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 3.640 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.640 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.641 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 3.641 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.641 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.641 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.641 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 3.641 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 3.642 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 3.642 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 3.642 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 3.642 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 3.643 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 3.643 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 3.643 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 3.644 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.644 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 3.644 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 3.644 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 3.644 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 3.644 * [taylor]: Taking taylor expansion of (log1p a) in a 3.645 * [taylor]: Rewrote expression to (log (+ 1 a)) 3.645 * [taylor]: Taking taylor expansion of (+ 1 a) in a 3.645 * [taylor]: Taking taylor expansion of 1 in a 3.645 * [taylor]: Taking taylor expansion of a in a 3.646 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 3.646 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.649 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 3.649 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 3.649 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 3.649 * [taylor]: Taking taylor expansion of (log1p a) in a 3.649 * [taylor]: Rewrote expression to (log (+ 1 a)) 3.649 * [taylor]: Taking taylor expansion of (+ 1 a) in a 3.649 * [taylor]: Taking taylor expansion of 1 in a 3.649 * [taylor]: Taking taylor expansion of a in a 3.649 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 3.649 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.659 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 3.659 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 3.659 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 3.659 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 3.659 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 3.659 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 3.659 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 3.659 * [taylor]: Taking taylor expansion of 1 in a 3.659 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.659 * [taylor]: Taking taylor expansion of a in a 3.660 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 3.660 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.661 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 3.661 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 3.661 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 3.661 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 3.661 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 3.661 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 3.661 * [taylor]: Taking taylor expansion of 1 in a 3.661 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.661 * [taylor]: Taking taylor expansion of a in a 3.662 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 3.662 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.674 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 3.674 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 3.674 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 3.674 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 3.674 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 3.674 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 3.674 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 3.674 * [taylor]: Taking taylor expansion of 1 in a 3.674 * [taylor]: Taking taylor expansion of (/ -1 a) in a 3.674 * [taylor]: Taking taylor expansion of -1 in a 3.674 * [taylor]: Taking taylor expansion of a in a 3.675 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 3.675 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.677 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 3.677 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 3.677 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 3.677 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 3.677 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 3.677 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 3.677 * [taylor]: Taking taylor expansion of 1 in a 3.677 * [taylor]: Taking taylor expansion of (/ -1 a) in a 3.677 * [taylor]: Taking taylor expansion of -1 in a 3.677 * [taylor]: Taking taylor expansion of a in a 3.678 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 3.678 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.700 * * * [progress]: simplifying candidates 3.701 * [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)))) 3.704 * * [simplify]: iteration 0 : 99 enodes (cost 779 ) 3.723 * * [simplify]: iteration 1 : 220 enodes (cost 752 ) 3.771 * * [simplify]: iteration 2 : 674 enodes (cost 710 ) 4.231 * * [simplify]: iteration 3 : 2823 enodes (cost 659 ) 4.942 * * [simplify]: iteration done : 5000 enodes (cost 659 ) 4.943 * [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) (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 (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) (pow a 2)) (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) (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 (log (fmod (cosh a) (pow a 2))) 2)) (* a a) 1) (* (log (fmod (cosh a) (pow a 2))) (- a (* 1/2 (* a a))))) (+ (pow (fmod (cosh a) (pow a 2)) (log a)) (fma (/ (pow (fmod (cosh a) (pow a 2)) (log a)) a) (log (fmod (cosh a) (pow a 2))) (* (/ 1/2 a) (- (/ (* (pow (log (fmod (cosh a) (pow a 2))) 2) (pow (fmod (cosh a) (pow a 2)) (log a))) a) (* (/ (log (fmod (cosh a) (pow a 2))) a) (pow (fmod (cosh a) (pow a 2)) (log a))))))) (+ (pow (fmod (cosh a) (pow a 2)) (log a)) (fma (/ (pow (fmod (cosh a) (pow a 2)) (log a)) a) (log (fmod (cosh a) (pow a 2))) (* (/ 1/2 a) (- (/ (* (pow (log (fmod (cosh a) (pow a 2))) 2) (pow (fmod (cosh a) (pow a 2)) (log a))) a) (* (/ (log (fmod (cosh a) (pow a 2))) a) (pow (fmod (cosh a) (pow a 2)) (log a))))))) 4.943 * * * [progress]: adding candidates to table 5.095 * * [progress]: iteration 2 / 4 5.095 * * * [progress]: picking best candidate 5.118 * * * * [pick]: Picked # 5.118 * * * [progress]: localizing error 5.131 * * * [progress]: generating rewritten candidates 5.131 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 5.131 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.133 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.133 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.137 * * * [progress]: generating series expansions 5.137 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 5.137 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 5.137 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.137 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.137 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 5.137 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.138 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.138 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 5.138 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.138 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.139 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.139 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 5.139 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.139 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.139 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 5.139 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.139 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.140 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 5.140 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.140 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.141 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.141 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 5.141 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 5.141 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 5.142 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 5.142 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 5.142 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 5.143 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 5.143 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 5.143 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 5.144 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.144 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 5.144 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 5.144 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 5.144 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 5.144 * [taylor]: Taking taylor expansion of (log1p a) in a 5.144 * [taylor]: Rewrote expression to (log (+ 1 a)) 5.144 * [taylor]: Taking taylor expansion of (+ 1 a) in a 5.144 * [taylor]: Taking taylor expansion of 1 in a 5.144 * [taylor]: Taking taylor expansion of a in a 5.145 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 5.145 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.147 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 5.147 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 5.147 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 5.147 * [taylor]: Taking taylor expansion of (log1p a) in a 5.147 * [taylor]: Rewrote expression to (log (+ 1 a)) 5.147 * [taylor]: Taking taylor expansion of (+ 1 a) in a 5.147 * [taylor]: Taking taylor expansion of 1 in a 5.147 * [taylor]: Taking taylor expansion of a in a 5.148 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 5.148 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.155 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 5.155 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 5.155 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 5.155 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 5.155 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 5.155 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 5.155 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 5.155 * [taylor]: Taking taylor expansion of 1 in a 5.155 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.155 * [taylor]: Taking taylor expansion of a in a 5.156 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 5.156 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.157 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 5.157 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 5.157 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 5.157 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 5.157 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 5.157 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 5.157 * [taylor]: Taking taylor expansion of 1 in a 5.157 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.157 * [taylor]: Taking taylor expansion of a in a 5.158 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 5.158 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.169 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 5.169 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 5.169 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 5.169 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 5.169 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 5.169 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 5.169 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 5.169 * [taylor]: Taking taylor expansion of 1 in a 5.169 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.169 * [taylor]: Taking taylor expansion of -1 in a 5.169 * [taylor]: Taking taylor expansion of a in a 5.170 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 5.170 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.171 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 5.171 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 5.172 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 5.172 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 5.172 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 5.172 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 5.172 * [taylor]: Taking taylor expansion of 1 in a 5.172 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.172 * [taylor]: Taking taylor expansion of -1 in a 5.172 * [taylor]: Taking taylor expansion of a in a 5.172 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 5.173 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.191 * * * [progress]: simplifying candidates 5.192 * [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)))) 5.197 * * [simplify]: iteration 0 : 128 enodes (cost 1155 ) 5.219 * * [simplify]: iteration 1 : 265 enodes (cost 1003 ) 5.268 * * [simplify]: iteration 2 : 725 enodes (cost 942 ) 5.733 * * [simplify]: iteration 3 : 2894 enodes (cost 891 ) 6.435 * * [simplify]: iteration done : 5000 enodes (cost 891 ) 6.436 * [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) (pow a 2))) (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))) (* 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) (pow a 2)) (fmod (cosh a) (pow a 2)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (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) (pow a 2))) (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) (pow a 2)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (expm1 (pow (fmod (cosh a) (pow a 2)) (log1p a))) (log1p (pow (fmod (cosh a) (pow a 2)) (log1p a))) (* (log (fmod (cosh a) (pow a 2))) (log1p a)) (* (log (fmod (cosh a) (pow a 2))) (log1p a)) (log1p a) (pow (fmod (cosh a) (pow a 2)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (pow a 2)) (sqrt (log1p a))) (fmod (cosh a) (pow a 2)) 1 (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (* (cbrt (fmod (cosh a) (pow a 2))) (cbrt (fmod (cosh a) (pow a 2)))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) 1 (pow (* (cbrt (fmod (cosh a) (pow a 2))) (cbrt (fmod (cosh a) (pow a 2)))) (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 (fmod (cosh a) (pow a 2))) (log1p a)) (exp (pow (fmod (cosh a) (pow a 2)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (pow a 2)) (log1p a))) (cbrt (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (cbrt (pow (fmod (cosh a) (pow a 2)) (log1p a))) (pow (pow (fmod (cosh a) (pow a 2)) (log1p a)) 3) (sqrt (pow (fmod (cosh a) (pow a 2)) (log1p a))) (sqrt (pow (fmod (cosh a) (pow a 2)) (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)) (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 (* a a)) (pow (log (fmod (cosh a) (pow a 2))) 2) 1) (* (log (fmod (cosh a) (pow a 2))) (- a (* 1/2 (* a a))))) (+ (fma (/ (pow (fmod (cosh a) (pow a 2)) (log a)) a) (log (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) (log a))) (* (/ 1/2 a) (- (/ (pow (log (fmod (cosh a) (pow a 2))) 2) (/ a (pow (fmod (cosh a) (pow a 2)) (log a)))) (* (log (fmod (cosh a) (pow a 2))) (/ (pow (fmod (cosh a) (pow a 2)) (log a)) a))))) (+ (fma (/ (pow (fmod (cosh a) (pow a 2)) (log a)) a) (log (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) (log a))) (* (/ 1/2 a) (- (/ (pow (log (fmod (cosh a) (pow a 2))) 2) (/ a (pow (fmod (cosh a) (pow a 2)) (log a)))) (* (log (fmod (cosh a) (pow a 2))) (/ (pow (fmod (cosh a) (pow a 2)) (log a)) a))))) 6.436 * * * [progress]: adding candidates to table 6.670 * * [progress]: iteration 3 / 4 6.670 * * * [progress]: picking best candidate 6.693 * * * * [pick]: Picked # 6.693 * * * [progress]: localizing error 6.710 * * * [progress]: generating rewritten candidates 6.710 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1 1) 6.710 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.717 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.718 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 6.721 * * * [progress]: generating series expansions 6.721 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1 1) 6.721 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 6.721 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 6.721 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 6.722 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in (a) around 0 6.722 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 6.722 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 6.722 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in (a) around 0 6.722 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 6.722 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 6.723 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.723 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 6.723 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 6.723 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 6.724 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in (a) around 0 6.724 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 6.724 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 6.724 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in (a) around 0 6.724 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 6.724 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 6.725 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.725 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 6.725 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 6.725 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 6.726 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) (log1p (/ 1 a)))) in (a) around 0 6.726 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) (log1p (/ 1 a)))) in a 6.726 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) (log1p (/ 1 a)))) in a 6.727 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) (log1p (/ -1 a)))) in (a) around 0 6.727 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) (log1p (/ -1 a)))) in a 6.727 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) (log1p (/ -1 a)))) in a 6.728 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 6.728 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 6.728 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 6.728 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 6.729 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in (a) around 0 6.729 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 6.729 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (pow (/ 1 a) 2)) in a 6.729 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in (a) around 0 6.729 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 6.729 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (pow (/ -1 a) 2)) in a 6.730 * * * [progress]: simplifying candidates 6.731 * [simplify]: Simplifying using # : (expm1 (fmod (cosh a) (pow a 2))) (log1p (fmod (cosh a) (pow a 2))) (log (fmod (cosh a) (pow a 2))) (exp (fmod (cosh a) (pow a 2))) (* (cbrt (fmod (cosh a) (pow a 2))) (cbrt (fmod (cosh a) (pow a 2)))) (cbrt (fmod (cosh a) (pow a 2))) (* (* (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2))) (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) (expm1 (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (log1p (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (log (* (cbrt (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (cbrt (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))))) (log (cbrt (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (log (sqrt (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (log (sqrt (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (log 1) (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log (exp (cbrt (pow (* (cbrt (fmod (cosh a) (pow a 2))) (cbrt (fmod (cosh a) (pow a 2)))) 3)))) (log (exp (cbrt (pow (sqrt (fmod (cosh a) (pow a 2))) 3)))) (log (exp (cbrt (pow 1 3)))) (log (exp (cbrt (* (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)))))) (log (exp (cbrt (* (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))))) (log (exp (cbrt (pow (* (cbrt (fmod (cosh a) (pow a 2))) (cbrt (fmod (cosh a) (pow a 2)))) 3)))) (log (exp (cbrt (pow (sqrt (fmod (cosh a) (pow a 2))) 3)))) (log (exp (cbrt (pow 1 3)))) (log (exp (cbrt (fmod (cosh a) (pow a 2))))) (log (exp (cbrt (sqrt (pow (fmod (cosh a) (pow a 2)) 3))))) (log (exp (cbrt 1))) (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) (/ 3 2))))) (log (exp (* (cbrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (cbrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))))) (log (exp (sqrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (log (exp 1)) (log (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (exp (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (* (cbrt (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (cbrt (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))))) (cbrt (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (* (* (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (sqrt (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (sqrt (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))))) (expm1 (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (log1p (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (/ PI 2) (asin (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a))) (log (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (exp (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (cbrt (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a))))) (cbrt (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (* (* (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a))) (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (sqrt (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (sqrt (acos (pow (log (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (log1p a)))) (expm1 (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (log1p (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (log (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (exp (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (cbrt (pow (* (cbrt (fmod (cosh a) (pow a 2))) (cbrt (fmod (cosh a) (pow a 2)))) 3)) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 3)) (cbrt (pow (sqrt (fmod (cosh a) (pow a 2))) 3)) (cbrt (pow (sqrt (fmod (cosh a) (pow a 2))) 3)) (cbrt (pow 1 3)) (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (cbrt (* (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)))) (cbrt (fmod (cosh a) (pow a 2))) (cbrt (* (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (cbrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (cbrt (pow (* (cbrt (fmod (cosh a) (pow a 2))) (cbrt (fmod (cosh a) (pow a 2)))) 3)) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 3)) (cbrt (pow (sqrt (fmod (cosh a) (pow a 2))) 3)) (cbrt (pow (sqrt (fmod (cosh a) (pow a 2))) 3)) (cbrt (pow 1 3)) (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (cbrt (fmod (cosh a) (pow a 2))) (cbrt (* (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)))) (cbrt (sqrt (pow (fmod (cosh a) (pow a 2)) 3))) (cbrt (sqrt (pow (fmod (cosh a) (pow a 2)) 3))) (cbrt 1) (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (cbrt (pow (fmod (cosh a) (pow a 2)) (/ 3 2))) (cbrt (pow (fmod (cosh a) (pow a 2)) (/ 3 2))) (* (cbrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (cbrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3)))) (cbrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (* (* (cbrt (pow (fmod (cosh a) (pow a 2)) 3)) (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (sqrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (sqrt (cbrt (pow (fmod (cosh a) (pow a 2)) 3))) (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))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 6.734 * * [simplify]: iteration 0 : 101 enodes (cost 1163 ) 6.749 * * [simplify]: iteration 1 : 149 enodes (cost 813 ) 6.772 * * [simplify]: iteration 2 : 248 enodes (cost 734 ) 6.820 * * [simplify]: iteration 3 : 545 enodes (cost 734 ) 7.164 * * [simplify]: iteration 4 : 1848 enodes (cost 734 ) 8.736 * * [simplify]: iteration done : 5000 enodes (cost 734 ) 8.737 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (pow a 2))) (log1p (fmod (cosh a) (pow a 2))) (log (fmod (cosh a) (pow a 2))) (exp (fmod (cosh a) (pow a 2))) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) (expm1 (fmod (cosh a) (pow a 2))) (log1p (fmod (cosh a) (pow a 2))) (* 2 (log (cbrt (exp (fmod (cosh a) (pow a 2)))))) (log (cbrt (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))))) 0 (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (sqrt (fmod (cosh a) (pow a 2))) 1 (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (sqrt (fmod (cosh a) (pow a 2))) 1 (cbrt (fmod (cosh a) (pow a 2))) (cbrt (sqrt (pow (fmod (cosh a) (pow a 2)) 3))) 1 (cbrt (pow (fmod (cosh a) (pow a 2)) 3/2)) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (sqrt (fmod (cosh a) (pow a 2))) 1 (log (fmod (cosh a) (pow a 2))) (exp (fmod (cosh a) (pow a 2))) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) (expm1 (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (/ PI 2) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (expm1 (fmod (cosh a) (pow a 2))) (log1p (fmod (cosh a) (pow a 2))) (log (fmod (cosh a) (pow a 2))) (exp (fmod (cosh a) (pow a 2))) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) 1 (fmod (cosh a) (pow a 2)) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (fmod (cosh a) (pow a 2))) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (fmod (cosh a) (pow a 2))) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) (sqrt (fmod (cosh a) (pow a 2))) 1 (fmod (cosh a) (pow a 2)) (cbrt (fmod (cosh a) (pow a 2))) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (sqrt (pow (fmod (cosh a) (pow a 2)) 3))) (cbrt (sqrt (pow (fmod (cosh a) (pow a 2)) 3))) 1 (fmod (cosh a) (pow a 2)) (cbrt (pow (fmod (cosh a) (pow a 2)) 3/2)) (cbrt (pow (fmod (cosh a) (pow a 2)) 3/2)) (cbrt (pow (cbrt (fmod (cosh a) (pow a 2))) 6)) (cbrt (fmod (cosh a) (pow a 2))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (pow a 2))) (sqrt (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)) (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))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 8.737 * * * [progress]: adding candidates to table 9.013 * * [progress]: iteration 4 / 4 9.013 * * * [progress]: picking best candidate 9.030 * * * * [pick]: Picked # 9.030 * * * [progress]: localizing error 9.043 * * * [progress]: generating rewritten candidates 9.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 9.044 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.044 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.046 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.048 * * * [progress]: generating series expansions 9.048 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 9.048 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 9.048 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 9.048 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 9.049 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 9.049 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 9.049 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 9.049 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 9.049 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 9.049 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 9.050 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.050 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 9.050 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.050 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.051 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 9.051 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.051 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.052 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 9.052 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.052 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.053 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.053 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 9.053 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.053 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.054 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 9.054 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.054 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.055 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 9.055 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.055 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.056 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.056 * [approximate]: Taking taylor expansion of (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 9.056 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 9.056 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.056 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 9.056 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.067 * [approximate]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in (a) around 0 9.067 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 9.067 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.068 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 9.068 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.078 * [approximate]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in (a) around 0 9.078 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 9.078 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.079 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 9.079 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.089 * * * [progress]: simplifying candidates 9.090 * [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 (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log1p (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log (* (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))))) (log (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log (sqrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log (sqrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log 1) (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (log (exp (/ PI 2))) (log (exp (asin (pow (fmod (cosh a) (* a a)) (log1p a))))) (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (log (exp (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))))) (log (exp (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log (exp 1)) (log (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (exp (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (* (cbrt (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (cbrt (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))))) (cbrt (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (* (* (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (sqrt (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (sqrt (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (expm1 (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (log1p (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (exp (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (exp (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (exp 1) (exp (/ PI 2)) (exp (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (exp (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (* (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (* (* (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (sqrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (sqrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (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))) (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) 9.093 * * [simplify]: iteration 0 : 67 enodes (cost 842 ) 9.105 * * [simplify]: iteration 1 : 94 enodes (cost 798 ) 9.114 * * [simplify]: iteration 2 : 122 enodes (cost 714 ) 9.128 * * [simplify]: iteration 3 : 174 enodes (cost 714 ) 9.149 * * [simplify]: iteration 4 : 275 enodes (cost 714 ) 9.212 * * [simplify]: iteration 5 : 531 enodes (cost 714 ) 9.433 * * [simplify]: iteration 6 : 1418 enodes (cost 714 ) 10.532 * * [simplify]: iteration done : 5001 enodes (cost 714 ) 10.532 * [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 (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) (* a a)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (expm1 (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log1p (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* 2 (log (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))))) (log (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log (sqrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (log (sqrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) 0 (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (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))))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) 1 (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) (* a a)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (expm1 (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (log1p (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (exp (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (exp (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) E (sqrt (exp PI)) (exp (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (* (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))) (cbrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (pow (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) 3) (sqrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (sqrt (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a 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))) (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))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) 10.533 * * * [progress]: adding candidates to table 10.739 * [progress]: [Phase 3 of 3] Extracting. 10.739 * * [regime]: Finding splitpoints for: (# # # # # #) 10.742 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 10.742 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # #) 10.789 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # #) 10.821 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # #) 10.865 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # #) 10.900 * * * * [regimes]: Trying to branch on a from (# # # # # #) 10.931 * * * [regime]: Found split indices: #