0.834 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.973 * * * [progress]: [2/2] Setting up program. 0.978 * [progress]: [Phase 2 of 3] Improving. 0.981 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 0.983 * * [simplify]: iteration 0 : 7 enodes (cost 10 ) 0.987 * * [simplify]: iteration 1 : 16 enodes (cost 10 ) 0.989 * * [simplify]: iteration 2 : 24 enodes (cost 10 ) 0.993 * * [simplify]: iteration 3 : 44 enodes (cost 10 ) 1.000 * * [simplify]: iteration 4 : 87 enodes (cost 10 ) 1.029 * * [simplify]: iteration 5 : 191 enodes (cost 10 ) 1.107 * * [simplify]: iteration 6 : 706 enodes (cost 10 ) 1.794 * * [simplify]: iteration 7 : 2876 enodes (cost 10 ) 3.633 * * [simplify]: iteration done : 5000 enodes (cost 10 ) 3.633 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 3.635 * * [progress]: iteration 1 / 4 3.635 * * * [progress]: picking best candidate 3.638 * * * * [pick]: Picked # 3.638 * * * [progress]: localizing error 3.649 * * * [progress]: generating rewritten candidates 3.649 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 3.650 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.651 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 3.655 * * * [progress]: generating series expansions 3.655 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 3.659 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 3.660 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.661 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.662 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 3.662 * [taylor]: Taking taylor expansion of (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 3.663 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 3.663 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.663 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.663 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.664 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 3.664 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 3.664 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 3.664 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 3.664 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 3.665 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 3.665 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 3.665 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 3.666 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 3.666 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.666 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 3.666 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 3.666 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 3.666 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 3.666 * [taylor]: Taking taylor expansion of (log1p a) in a 3.667 * [taylor]: Rewrote expression to (log (+ 1 a)) 3.667 * [taylor]: Taking taylor expansion of (+ 1 a) in a 3.667 * [taylor]: Taking taylor expansion of 1 in a 3.667 * [taylor]: Taking taylor expansion of a in a 3.668 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 3.668 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.671 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 3.671 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 3.671 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 3.671 * [taylor]: Taking taylor expansion of (log1p a) in a 3.671 * [taylor]: Rewrote expression to (log (+ 1 a)) 3.671 * [taylor]: Taking taylor expansion of (+ 1 a) in a 3.671 * [taylor]: Taking taylor expansion of 1 in a 3.671 * [taylor]: Taking taylor expansion of a in a 3.671 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 3.671 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 3.681 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 3.681 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 3.681 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 3.682 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 3.682 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 3.682 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 3.682 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 3.682 * [taylor]: Taking taylor expansion of 1 in a 3.682 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.682 * [taylor]: Taking taylor expansion of a in a 3.683 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 3.683 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.684 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 3.684 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 3.684 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 3.684 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 3.684 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 3.684 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 3.684 * [taylor]: Taking taylor expansion of 1 in a 3.684 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.684 * [taylor]: Taking taylor expansion of a in a 3.685 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 3.685 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 3.696 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 3.696 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 3.696 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 3.696 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 3.696 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 3.696 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 3.696 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 3.696 * [taylor]: Taking taylor expansion of 1 in a 3.697 * [taylor]: Taking taylor expansion of (/ -1 a) in a 3.697 * [taylor]: Taking taylor expansion of -1 in a 3.697 * [taylor]: Taking taylor expansion of a in a 3.698 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 3.698 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.699 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 3.699 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 3.699 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 3.699 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 3.699 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 3.699 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 3.699 * [taylor]: Taking taylor expansion of 1 in a 3.699 * [taylor]: Taking taylor expansion of (/ -1 a) in a 3.699 * [taylor]: Taking taylor expansion of -1 in a 3.700 * [taylor]: Taking taylor expansion of a in a 3.700 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 3.700 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 3.716 * * * [progress]: simplifying candidates 3.717 * [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)))) 3.720 * * [simplify]: iteration 0 : 99 enodes (cost 779 ) 3.744 * * [simplify]: iteration 1 : 220 enodes (cost 752 ) 3.795 * * [simplify]: iteration 2 : 723 enodes (cost 710 ) 4.220 * * [simplify]: iteration 3 : 3568 enodes (cost 659 ) 5.193 * * [simplify]: iteration done : 5001 enodes (cost 659 ) 5.194 * [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 (* a a)) (pow (log (fmod (cosh a) (pow a 2))) 2) 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) (/ 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))))) (+ (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) (/ 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))))) 5.194 * * * [progress]: adding candidates to table 5.341 * * [progress]: iteration 2 / 4 5.341 * * * [progress]: picking best candidate 5.365 * * * * [pick]: Picked # 5.365 * * * [progress]: localizing error 5.378 * * * [progress]: generating rewritten candidates 5.378 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 5.379 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.380 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.381 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.384 * * * [progress]: generating series expansions 5.384 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 5.384 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 5.384 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.385 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.385 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 5.385 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.385 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.386 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 5.386 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.386 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.386 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.386 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 5.386 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.386 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.387 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 5.387 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.387 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.388 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 5.388 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.388 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.388 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.388 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 5.388 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 5.388 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 5.389 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 5.389 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 5.390 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 5.390 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 5.390 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 5.391 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 5.391 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.392 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 5.392 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 5.392 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 5.392 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 5.392 * [taylor]: Taking taylor expansion of (log1p a) in a 5.392 * [taylor]: Rewrote expression to (log (+ 1 a)) 5.392 * [taylor]: Taking taylor expansion of (+ 1 a) in a 5.392 * [taylor]: Taking taylor expansion of 1 in a 5.392 * [taylor]: Taking taylor expansion of a in a 5.393 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 5.393 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.395 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 5.395 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 5.395 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 5.395 * [taylor]: Taking taylor expansion of (log1p a) in a 5.395 * [taylor]: Rewrote expression to (log (+ 1 a)) 5.395 * [taylor]: Taking taylor expansion of (+ 1 a) in a 5.395 * [taylor]: Taking taylor expansion of 1 in a 5.395 * [taylor]: Taking taylor expansion of a in a 5.396 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 5.396 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 5.403 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 5.403 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 5.403 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 5.403 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 5.403 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 5.403 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 5.403 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 5.403 * [taylor]: Taking taylor expansion of 1 in a 5.403 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.403 * [taylor]: Taking taylor expansion of a in a 5.404 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 5.404 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.405 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 5.405 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 5.405 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 5.405 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 5.405 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 a))) 5.405 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 a)) in a 5.405 * [taylor]: Taking taylor expansion of 1 in a 5.405 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.405 * [taylor]: Taking taylor expansion of a in a 5.406 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 5.406 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 5.418 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 5.418 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 5.418 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 5.418 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 5.418 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 5.418 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 5.418 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 5.418 * [taylor]: Taking taylor expansion of 1 in a 5.418 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.418 * [taylor]: Taking taylor expansion of -1 in a 5.418 * [taylor]: Taking taylor expansion of a in a 5.419 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 5.419 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.421 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 5.421 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 5.421 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 5.421 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 5.421 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 a))) 5.421 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 a)) in a 5.421 * [taylor]: Taking taylor expansion of 1 in a 5.421 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.421 * [taylor]: Taking taylor expansion of -1 in a 5.421 * [taylor]: Taking taylor expansion of a in a 5.422 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 5.422 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 5.438 * * * [progress]: simplifying candidates 5.439 * [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)))) 5.444 * * [simplify]: iteration 0 : 128 enodes (cost 1155 ) 5.469 * * [simplify]: iteration 1 : 265 enodes (cost 1003 ) 5.525 * * [simplify]: iteration 2 : 778 enodes (cost 942 ) 5.959 * * [simplify]: iteration 3 : 3659 enodes (cost 891 ) 7.002 * * [simplify]: iteration done : 5000 enodes (cost 891 ) 7.002 * [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 (* (pow a 2) (pow (log (fmod (cosh a) (pow a 2))) 2)) 1/2 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) (pow (fmod (cosh a) (pow a 2)) (log a))) a) (* (/ (log (fmod (cosh a) (* a 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))) (pow (fmod (cosh a) (pow a 2)) (log a))) (* (/ 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) (* a a))) a) (pow (fmod (cosh a) (pow a 2)) (log a)))))) 7.003 * * * [progress]: adding candidates to table 7.235 * * [progress]: iteration 3 / 4 7.235 * * * [progress]: picking best candidate 7.255 * * * * [pick]: Picked # 7.255 * * * [progress]: localizing error 7.270 * * * [progress]: generating rewritten candidates 7.270 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 1) 7.270 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1) 7.270 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.272 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.273 * * * [progress]: generating series expansions 7.273 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 1) 7.273 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 7.273 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.273 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.273 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 7.273 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.274 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.274 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 7.274 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.274 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.275 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1) 7.275 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 7.275 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.275 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.275 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 7.275 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.275 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.276 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 7.276 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.276 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.277 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 7.277 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.277 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 7.278 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 7.278 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.278 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 7.278 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 7.278 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.279 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 7.279 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.279 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 7.279 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 7.279 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 7.280 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 7.280 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 7.281 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 7.282 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 7.282 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 7.282 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 7.282 * * * [progress]: simplifying candidates 7.283 * [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 (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (log1p (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (log (* (cbrt (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (cbrt (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))))) (log (cbrt (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (log (sqrt (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (log 1) (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (exp (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (* (cbrt (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (cbrt (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))))) (cbrt (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (* (* (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (sqrt (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (sqrt (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))) (expm1 (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (log1p (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (/ PI 2) (asin (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a))) (log (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (exp (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (* (cbrt (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (cbrt (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a))))) (cbrt (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (* (* (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a))) (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (sqrt (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (sqrt (acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (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))) 7.286 * * [simplify]: iteration 0 : 55 enodes (cost 900 ) 7.293 * * [simplify]: iteration 1 : 75 enodes (cost 553 ) 7.302 * * [simplify]: iteration 2 : 109 enodes (cost 526 ) 7.320 * * [simplify]: iteration 3 : 182 enodes (cost 523 ) 7.377 * * [simplify]: iteration 4 : 506 enodes (cost 493 ) 7.773 * * [simplify]: iteration 5 : 2155 enodes (cost 493 ) 9.595 * * [simplify]: iteration done : 5000 enodes (cost 493 ) 9.595 * [simplify]: Simplified to: (expm1 (fmod (cosh a) (pow a 2))) (log1p (fmod (cosh a) (pow a 2))) (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) (pow a 2))) (pow (sqrt (fmod (cosh a) (pow a 2))) 6) (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))) (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) (pow a 2))) (pow (sqrt (fmod (cosh a) (pow a 2))) 6) (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) (* 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)) (sqrt (fmod (cosh a) (pow a 2))) (fmod (cosh a) (pow a 2)) (sqrt (fmod (cosh a) (pow a 2))) (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) (pow a 2))) (pow (sqrt (fmod (cosh a) (pow a 2))) 6) (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)))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (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))) 9.595 * * * [progress]: adding candidates to table 9.817 * * [progress]: iteration 4 / 4 9.817 * * * [progress]: picking best candidate 9.833 * * * * [pick]: Picked # 9.833 * * * [progress]: localizing error 9.846 * * * [progress]: generating rewritten candidates 9.846 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 9.846 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.846 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.848 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.850 * * * [progress]: generating series expansions 9.850 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 9.850 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 9.850 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 9.850 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 9.850 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 9.850 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 9.850 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 9.851 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 9.851 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 9.851 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 9.852 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.852 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 9.852 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.852 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.852 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 9.852 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.853 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.853 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 9.853 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.854 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.854 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.855 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 9.855 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.855 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.855 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 9.855 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.856 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.856 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 9.856 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.857 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.857 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.857 * [approximate]: Taking taylor expansion of (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 9.857 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 9.858 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.858 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 9.858 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 9.869 * [approximate]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in (a) around 0 9.869 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 9.869 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.869 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 9.869 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 9.880 * [approximate]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in (a) around 0 9.880 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 9.880 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.880 * [taylor]: Taking taylor expansion of (exp (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 9.880 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 9.891 * * * [progress]: simplifying candidates 9.892 * [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)))) 9.894 * * [simplify]: iteration 0 : 67 enodes (cost 842 ) 9.906 * * [simplify]: iteration 1 : 94 enodes (cost 798 ) 9.917 * * [simplify]: iteration 2 : 126 enodes (cost 714 ) 9.936 * * [simplify]: iteration 3 : 207 enodes (cost 714 ) 10.001 * * [simplify]: iteration 4 : 544 enodes (cost 714 ) 10.438 * * [simplify]: iteration 5 : 2245 enodes (cost 714 ) 12.138 * * [simplify]: iteration done : 5000 enodes (cost 714 ) 12.139 * [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)))) 12.139 * * * [progress]: adding candidates to table 12.333 * [progress]: [Phase 3 of 3] Extracting. 12.333 * * [regime]: Finding splitpoints for: (# # # # # #) 12.336 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 12.337 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # #) 12.381 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # #) 12.410 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # #) 12.455 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # #) 12.486 * * * * [regimes]: Trying to branch on a from (# # # # # #) 12.519 * * * [regime]: Found split indices: #