* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))) (- (/ (/ PI 4))))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1 2)
* [misc]approximate:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/32 (sqr PI))) into (- (* 1/32 (sqr PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (- (* 1/32 (sqr PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/2 (* PI f)) (+ (* 1/192 (* (pow PI 3) (pow f 3))) (* 1/61440 (* (pow PI 5) (pow f 5)))))
* [misc]approximate:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]approximate:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/32 (sqr PI))) into (- (* 1/32 (sqr PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (- (* 1/32 (sqr PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2880 (pow PI 3))) (pow f 3)) (+ (* (* 1/12 PI) f) (* (/ 4 PI) (/ 1 f)))) into (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/32 (sqr PI))) into (- (* 1/32 (sqr PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (- (* 1/32 (sqr PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (sqr PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (* 1/12 PI) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3)))
* [misc]backup-simplify:  Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (sqr f)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 1/12 (* PI (sqr f))) (* 4 (/ (log (/ 4 PI)) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow PI 3) (pow f 4)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI)
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (* (/ 4 PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) f)) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) f) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/32 (sqr PI))) into (- (* 1/32 (sqr PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (- (* 1/32 (sqr PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (sqr PI))
* [misc]backup-simplify:  Simplify (* 1/48 (sqr PI)) into (* 1/48 (sqr PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (sqr PI)) (sqr f)) (- (log (/ 4 PI)) (log f)))) into (- (+ (log (/ 4 PI)) (* 1/48 (* (sqr PI) (sqr f)))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4)))))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) 1) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (* 1/4 PI)) into (- (* 1/4 PI))
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ PI 4) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]backup-simplify:  Simplify (/ PI 4) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) -1) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (* -1/4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* PI f)) (+ (* 1/192 (* (pow PI 3) (pow f 3))) (* 1/61440 (* (pow PI 5) (pow f 5))))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* PI f)) (+ (* 1/192 (* (pow PI 3) (pow f 3))) (* 1/61440 (* (pow PI 5) (pow f 5)))))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * * * [misc]progress:  [ 2 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* PI (/ f 4)))) (- (pow (exp 1/4) (/ PI f)) (exp (* (- 1/4) (/ PI f)))))))
* * * * [misc]progress:  [ 3 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (- PI) (/ f 4))) (exp (* PI (/ f 4)))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 4 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (+ (* f (* PI 1/12)) (/ (/ 4 PI) f)) (* (* (cube PI) f) (* (* f f) 1/2880)))))
* * * * [misc]progress:  [ 5 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (- PI) (/ 1/4 f))) (pow (exp 1/4) (/ PI f))) (- (pow (exp 1/4) (/ PI f)) (exp (* (- PI) (/ 1/4 f)))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 6 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 7 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (- (+ (* 1/12 (* PI (sqr f))) (* 4 (/ (log (/ 4 PI)) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow PI 3) (pow f 4)))))))>
* [enter]simplify:  Simplifying (- (- (+ (* 1/12 (* PI (sqr f))) (* 4 (/ (log (/ 4 PI)) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow PI 3) (pow f 4))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (- (+ (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* f 1/12) (* f PI)) (* (cube PI) (* (pow f 4) 7/5760)))))
* * * * [misc]progress:  [ 8 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))))>
* [enter]simplify:  Simplifying (- (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- PI) (/ 1/4 f))) (pow (exp 1/4) (/ PI f))) (- (pow (exp 1/4) (/ PI f)) (exp (* (- PI) (/ 1/4 f)))))) (/ PI (- 4)))
* * * * [misc]progress:  [ 9 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI))))>
* [enter]simplify:  Simplifying (- (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))
* * * * [misc]progress:  [ 10 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (sqr PI) (sqr f)))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (sqr PI) (sqr f)))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4)))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (210 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (* f PI) (* f PI)) 1/48) (- (- (log (/ 4 PI)) (log f)) (* (* 7/23040 (pow PI 4)) (pow f 4)))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 11 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (- PI) (/ 1/4 f))) (pow (exp 1/4) (/ PI f))) (- (pow (exp 1/4) (/ PI f)) (exp (* (- PI) (/ 1/4 f)))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 12 / 109 ] simplifiying candidate #<alt-event (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))>
* [enter]simplify:  Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 13 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (log (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))
* * * * [misc]progress:  [ 14 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (pow (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1))))))>
* * * * [misc]progress:  [ 15 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (exp (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (log (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (log (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* * * * [misc]progress:  [ 16 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (log (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* [exit]simplify:  Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* * * * [misc]progress:  [ 17 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cube (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* * * * [misc]progress:  [ 18 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (cube (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (cube (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (cube (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (cube (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))
* * * * [misc]progress:  [ 19 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqr (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* * * * [misc]progress:  [ 20 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))))>
* [enter]simplify:  Simplifying (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (- f)) (* (+ 1 2) (/ PI 4))))
* [exit]simplify:  Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (- f)) (* (+ 1 2) (/ PI 4))))
* [enter]simplify:  Simplifying (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (+ (pow (exp (/ PI 4)) (- (- f) f)) (+ 1 (exp (/ (+ PI PI) (/ 4 f)))))
* [exit]simplify:  Simplified to (+ (pow (exp (/ PI 4)) (- (- f) f)) (+ 1 (exp (/ (+ PI PI) (/ 4 f)))))
* * * * [misc]progress:  [ 21 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (- (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ (- 1) (pow (exp f) (/ PI 4)))
* [exit]simplify:  Simplified to (/ (- 1) (pow (exp f) (/ PI 4)))
* * * * [misc]progress:  [ 22 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 23 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (- (exp (* (+ f f) (/ PI 4))) (pow (exp (/ PI 4)) (- (+ f f))))
* [exit]simplify:  Simplified to (- (exp (* (+ f f) (/ PI 4))) (pow (exp (/ PI 4)) (- (+ f f))))
* [enter]simplify:  Simplifying (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))
* [exit]simplify:  Simplified to (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))
* * * * [misc]progress:  [ 24 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ f (/ 4 PI)))))
* [exit]simplify:  Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ f (/ 4 PI)))))
* [enter]simplify:  Simplifying (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI)))))
* * * * [misc]progress:  [ 25 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (- (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))
* [exit]simplify:  Simplified to (- (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))
* * * * [misc]progress:  [ 26 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (pow (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)))))>
* * * * [misc]progress:  [ 27 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (exp (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (- (log (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) (log (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (- (log (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) (log (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 28 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 29 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (log (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 30 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (cbrt (/ (cube (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cube (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (cube (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cube (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (406 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (cube (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 31 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (cube (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 32 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (cbrt (cube (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (cube (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (cube (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 33 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (cube (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 34 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (sqr (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 35 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (sqr (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 36 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (- (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))))
* [exit]simplify:  Simplified to (- (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))))
* [enter]simplify:  Simplifying (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (- (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (- (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* * * * [misc]progress:  [ 37 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (/ 1 1) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))) (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))) (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 38 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- PI) (/ f 4))))))
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- PI) (/ f 4))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 39 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (/ 1 1) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))) (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))) (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 40 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (/ 1 1) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))) (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))) (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 41 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- PI) (/ f 4))))))
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- PI) (/ f 4))))))
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 42 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (/ 1 1) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))) (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))) (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 43 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 44 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (/ 1 (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))
* * * * [misc]progress:  [ 45 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ 1 (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))))
* [exit]simplify:  Simplified to (/ (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))))
* * * * [misc]progress:  [ 46 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) 1)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) 1)
* * * * [misc]progress:  [ 47 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (sqrt (exp (* (/ f 4) PI))) (sqrt (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (+ (sqrt (exp (* (/ f 4) PI))) (sqrt (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 48 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) 1)
* [exit]simplify:  Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) 1)
* * * * [misc]progress:  [ 49 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ 1 (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))))
* [exit]simplify:  Simplified to (/ (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))))
* * * * [misc]progress:  [ 50 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ 1 (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))))
* [exit]simplify:  Simplified to (/ (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))))
* * * * [misc]progress:  [ 51 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (* (+ 1 2) (- f)))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (* (+ 1 2) (- f)))))
* * * * [misc]progress:  [ 52 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f)))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (/ 1 (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 53 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqr (exp (* (/ PI 4) f))) (- (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))))>
* [enter]simplify:  Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqr (exp (* (/ PI 4) f))) (- (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (* (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (+ (exp (* (/ f 4) (+ PI PI))) (- (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) 1)))
* [exit]simplify:  Simplified to (* (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (+ (exp (* (/ f 4) (+ PI PI))) (- (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) 1)))
* * * * [misc]progress:  [ 54 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqr (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* [exit]simplify:  Simplified to (sqr (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))
* * * * [misc]progress:  [ 55 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (pow (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) 1)))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* * * * [misc]progress:  [ 56 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (pow (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) 1)))>
* * * * [misc]progress:  [ 57 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (exp (+ (log (/ (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (+ (log (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (log (/ (/ PI 4))))
* [exit]simplify:  Simplified to (+ (log (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (log (/ (/ PI 4))))
* * * * [misc]progress:  [ 58 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (exp (log (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))))
* [exit]simplify:  Simplified to (log (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))))
* * * * [misc]progress:  [ 59 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (log (exp (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (exp (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (- PI) (/ f 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) (/ (/ PI 4)))
* [exit]simplify:  Simplified to (pow (/ (+ (exp (* (- PI) (/ f 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 60 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (cbrt (* (cube (/ (/ PI 4))) (cube (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (cube (/ (/ PI 4))) (cube (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (/ PI 4))) (cube (log (/ (+ (exp (* (- PI) (/ f 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))))))
* [exit]simplify:  Simplified to (* (cube (/ (/ PI 4))) (cube (log (/ (+ (exp (* (- PI) (/ f 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))))))
* * * * [misc]progress:  [ 61 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (cube (cbrt (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (cbrt (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))))
* [exit]simplify:  Simplified to (cbrt (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))))
* * * * [misc]progress:  [ 62 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (cbrt (cube (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (cube (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))))))
* [exit]simplify:  Simplified to (cube (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))))))
* * * * [misc]progress:  [ 63 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (cube (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))))
* * * * [misc]progress:  [ 64 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (sqr (sqrt (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))))
* [exit]simplify:  Simplified to (sqrt (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))))
* * * * [misc]progress:  [ 65 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (sqr (* (sqrt (/ (/ PI 4))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (/ PI 4))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (/ PI 4))) (sqrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))))
* [exit]simplify:  Simplified to (* (sqrt (/ (/ PI 4))) (sqrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))))
* * * * [misc]progress:  [ 66 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* 1 (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * * [misc]progress:  [ 67 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (/ 1 1))) (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* * * * [misc]progress:  [ 68 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (log (+ (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (* (- PI) (/ f 4)))))) (- (/ (/ PI 4))))
* [exit]simplify:  Simplified to (* (log (+ (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (* (- PI) (/ f 4)))))) (- (/ (/ PI 4))))
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI))) (- (sqrt (exp (* (/ f 4) PI))) (sqrt (exp (* (/ f 4) (- PI))))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI))) (- (sqrt (exp (* (/ f 4) PI))) (sqrt (exp (* (/ f 4) (- PI))))))))
* * * * [misc]progress:  [ 69 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (/ 1 1))) (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* * * * [misc]progress:  [ 70 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (/ 1 1))) (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* * * * [misc]progress:  [ 71 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (log (+ (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (* (- PI) (/ f 4)))))) (- (/ (/ PI 4))))
* [exit]simplify:  Simplified to (* (log (+ (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (* (- PI) (/ f 4)))))) (- (/ (/ PI 4))))
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI))) (- (sqrt (exp (* (/ f 4) PI))) (sqrt (exp (* (/ f 4) (- PI))))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI))) (- (sqrt (exp (* (/ f 4) PI))) (sqrt (exp (* (/ f 4) (- PI))))))))
* * * * [misc]progress:  [ 72 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (/ 1 1))) (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ 1 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* * * * [misc]progress:  [ 73 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log 1)) (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log 1))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log 1))
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* * * * [misc]progress:  [ 74 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4)))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4)))))
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))
* * * * [misc]progress:  [ 75 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) (* (/ (/ PI 4)) (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (* (+ 1 2) (- f)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (* (+ 1 2) (- f)))))))
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ 1 (+ (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ 1 (+ (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))))))
* * * * [misc]progress:  [ 76 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f)))))))) (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4)))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4)))))
* * * * [misc]progress:  [ 77 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ 1 1)) (/ (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ 1 1)) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 78 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- PI) (/ f 4)))))))
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- PI) (/ f 4)))))))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ f 4) (- PI))))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ f 4) (- PI))))))))
* * * * [misc]progress:  [ 79 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ 1 1)) (/ (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ 1 1)) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 80 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ 1 1)) (/ (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ 1 1)) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 81 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- PI) (/ f 4)))))))
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (- PI) (/ f 4)))))))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ f 4) (- PI))))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ f 4) (- PI))))))))
* * * * [misc]progress:  [ 82 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ 1 1)) (/ (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ 1 1)) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) 0)
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 83 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log 1) (/ (/ PI 4))) (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log 1) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (log 1) (/ (/ PI 4)))
* [exit]simplify:  Simplified to (* (log 1) (/ (/ PI 4)))
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 84 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (/ PI 4))) (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [enter]simplify:  Simplifying (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))
* * * * [misc]progress:  [ 85 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ (/ PI 4))) (* (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (* (+ 1 2) (- f)))))) (/ (/ PI 4)))
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (* (+ 1 2) (- f)))))) (/ (/ PI 4)))
* [enter]simplify:  Simplifying (* (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ 1 (+ (pow (exp (/ PI 4)) (- (- f) f)) (exp (/ (+ f f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ 1 (+ (pow (exp (/ PI 4)) (- (- f) f)) (exp (/ (+ f f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 86 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))
* [enter]simplify:  Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* * * * [misc]progress:  [ 87 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (* (/ (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4))
* [exit]simplify:  Simplified to (/ (/ PI 4))
* * * * [misc]progress:  [ 88 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (* (/ (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4))
* [exit]simplify:  Simplified to (/ (/ PI 4))
* * * * [misc]progress:  [ 89 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* 1 (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))))
* * * * [misc]progress:  [ 90 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4)))))>
* * * * [misc]progress:  [ 91 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 92 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (- (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 93 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 94 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 95 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (- (log (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))))
* * * * [misc]progress:  [ 96 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (/ 1 1)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 97 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [exit]simplify:  Simplified to (log 1)
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 98 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))
* [enter]simplify:  Simplifying (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (- (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))
* [exit]simplify:  Simplified to (- (log (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))
* * * * [misc]progress:  [ 99 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (* (+ 1 2) (- f))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (* (+ 1 2) (- f))))))
* [enter]simplify:  Simplifying (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (log (+ (+ (exp (* (/ f 4) (+ PI PI))) 1) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))))
* [exit]simplify:  Simplified to (log (+ (+ (exp (* (/ f 4) (+ PI PI))) 1) (pow (exp (- f)) (+ (/ PI 4) (/ PI 4)))))
* * * * [misc]progress:  [ 100 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (+ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (- (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [exit]simplify:  Simplified to (- (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))
* [enter]simplify:  Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))
* * * * [misc]progress:  [ 101 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))
* [enter]simplify:  Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (log (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (log (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* * * * [misc]progress:  [ 102 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (* PI f) 4)) (exp (/ (- f) (/ 4 PI))))))
* * * * [misc]progress:  [ 103 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (pow (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))))>
* * * * [misc]progress:  [ 104 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (exp (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))))
* [exit]simplify:  Simplified to (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))))
* * * * [misc]progress:  [ 105 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI)))))
* * * * [misc]progress:  [ 106 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (cube (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))))
* [exit]simplify:  Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))))
* * * * [misc]progress:  [ 107 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (cbrt (cube (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (cube (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (cube (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))))
* [exit]simplify:  Simplified to (cube (log (/ (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))))
* * * * [misc]progress:  [ 108 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (sqr (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))>
* [enter]simplify:  Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))))
* [exit]simplify:  Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))))
* * * * [misc]progress:  [ 109 / 109 ] simplifiying candidate #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (/ f (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ f (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (* (cube f) (cube PI)) 1/192) in f
* [misc]taylor:  Taking taylor expansion of (* (cube f) (cube PI)) in f
* [misc]taylor:  Taking taylor expansion of (cube f) in f
* [misc]taylor:  Rewrote expression to (pow f 3)
* [misc]taylor:  Taking taylor expansion of (cube PI) in f
* [misc]taylor:  Rewrote expression to (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 5) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI f)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI f) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* PI 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (/ f (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ f (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))) in f
* [misc]taylor:  Taking taylor expansion of (* (* (cube f) (cube PI)) 1/192) in f
* [misc]taylor:  Taking taylor expansion of (* (cube f) (cube PI)) in f
* [misc]taylor:  Taking taylor expansion of (cube f) in f
* [misc]taylor:  Rewrote expression to (pow f 3)
* [misc]taylor:  Taking taylor expansion of (cube PI) in f
* [misc]taylor:  Rewrote expression to (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow f 5) in f
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI f)) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI f) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* PI 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (log (/ 4 PI)) into (log (/ 4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI))
* [misc]backup-simplify:  Simplify (* 1 (pow PI 3)) into (pow PI 3)
* [misc]backup-simplify:  Simplify (* (pow PI 3) 1/192) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (sqr PI))
* [misc]backup-simplify:  Simplify (* 1/48 (sqr PI)) into (* 1/48 (sqr PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 3) 0) (* 0 1/192)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (* 0 1/192))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow PI 5)) into (pow PI 5)
* [misc]backup-simplify:  Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 (pow PI 5)) 0) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5))
* [misc]backup-simplify:  Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (sqr PI)) (sqr f)) (- (log (/ 4 PI)) (log f)))) into (- (+ (log (/ 4 PI)) (* 1/48 (* (sqr PI) (sqr f)))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4)))))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) (+ (* (* (cube (/ 1 f)) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) (+ (* (* (cube (/ 1 f)) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) (+ (* (* (cube (/ 1 f)) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (/ (/ 1 f) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (/ 1 f) (/ 4 PI))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (+ (* (* (cube (/ 1 f)) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ 1 f)) (cube PI)) 1/192) in f
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 f)) (cube PI)) in f
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 f)) in f
* [misc]taylor:  Rewrote expression to (pow (/ 1 f) 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log f))) into (* -3 (log f))
* [misc]backup-simplify:  Simplify (exp (* -3 (log f))) into (pow f -3)
* [misc]taylor:  Taking taylor expansion of (cube PI) in f
* [misc]taylor:  Rewrote expression to (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log f))) into (* -5 (log f))
* [misc]backup-simplify:  Simplify (exp (* -5 (log f))) into (pow f -5)
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (* PI 1) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) (+ (* (* (cube (/ 1 f)) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) (+ (* (* (cube (/ 1 f)) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (/ (/ 1 f) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (/ 1 f) (/ 4 PI))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (+ (* (* (cube (/ 1 f)) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ 1 f)) (cube PI)) 1/192) in f
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 f)) (cube PI)) in f
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 f)) in f
* [misc]taylor:  Rewrote expression to (pow (/ 1 f) 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log f))) into (* -3 (log f))
* [misc]backup-simplify:  Simplify (exp (* -3 (log f))) into (pow f -3)
* [misc]taylor:  Taking taylor expansion of (cube PI) in f
* [misc]taylor:  Rewrote expression to (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (+ (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 f) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log f))) into (* -5 (log f))
* [misc]backup-simplify:  Simplify (exp (* -5 (log f))) into (pow f -5)
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI (/ 1 f))) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (* PI 1) into PI
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow f -3) (pow PI 3)) into (/ (pow PI 3) (pow f 3))
* [misc]backup-simplify:  Simplify (* (/ (pow PI 3) (pow f 3)) 1/192) into (* 1/192 (/ (pow PI 3) (pow f 3)))
* [misc]backup-simplify:  Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5))
* [misc]backup-simplify:  Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) 0) into (* 1/61440 (/ (pow PI 5) (pow f 5)))
* [misc]backup-simplify:  Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) (* 1/2 PI))))) into (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) 1)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))
* [misc]backup-simplify:  Simplify (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (* -1 (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 3)))) (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 3))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow f -3) 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (pow PI 3) (pow f 3)) 0) (* 0 1/192)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) 0) into (- (log f))
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow f -5) 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))))))) (/ (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) (* 1/2 PI))))) into (+ (* 1/4608 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 6))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (pow f 10))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (* 1/737280 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (pow f 8))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) 2)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/4608 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 6))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (pow f 10))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (* 1/737280 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (pow f 8))))))))) 1)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 6))))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 6))))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) into (* 1/2 (- (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 6)))) (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 6)))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 10)))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 8)))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 10)))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 10)))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 8)))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 8)))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 6)))) (* 1/4608 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 6))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 6)))) (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 6)))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 10)))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 8)))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 10)))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 10)))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 8)))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 8)))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 6)))) (* 1/4608 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (pow f 6)))))))))))))) (sqr (/ 1 f))) (+ (* (* -1 (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 3)))) (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) (/ 1 f)) (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 12)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (+ (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log f) (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) (+ (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f)))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) (+ (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) (+ (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (/ (/ 1 (- f)) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (/ 1 (- f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (+ (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) in f
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 (- f))) (cube PI)) in f
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- f))) in f
* [misc]taylor:  Rewrote expression to (pow (/ 1 (- f)) 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (cube PI) in f
* [misc]taylor:  Rewrote expression to (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (* PI -1) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* -1/2 PI)) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]taylor:  Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) (+ (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f)))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) (+ (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (/ (/ 1 (- f)) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (/ 1 (- f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (+ (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ 1 (- f))) (cube PI)) 1/192) in f
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 (- f))) (cube PI)) in f
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- f))) in f
* [misc]taylor:  Rewrote expression to (pow (/ 1 (- f)) 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (cube PI) in f
* [misc]taylor:  Rewrote expression to (pow PI 3)
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 3 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 3 in f
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 3 (log PI)) into (* 3 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 3 (log PI))) into (pow PI 3)
* [misc]taylor:  Taking taylor expansion of 1/192 in f
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (+ (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) (* 1/2 (* PI (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f
* [misc]taylor:  Taking taylor expansion of 1/61440 in f
* [misc]backup-simplify:  Simplify 1/61440 into 1/61440
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- f)) 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f)))
* [misc]backup-simplify:  Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f))))
* [misc]taylor:  Taking taylor expansion of (pow PI 5) in f
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log PI))) in f
* [misc]taylor:  Taking taylor expansion of (* 5 (log PI)) in f
* [misc]taylor:  Taking taylor expansion of 5 in f
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log PI) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 5 (log PI)) into (* 5 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 5 (log PI))) into (pow PI 5)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* PI (/ 1 (- f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/2 in f
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* PI (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (* PI -1) into (* -1 PI)
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI)
* [misc]backup-simplify:  Simplify (+ 0 (* -1/2 PI)) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI))
* [misc]backup-simplify:  Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))
* [misc]backup-simplify:  Simplify (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) into (* (pow PI 3) (exp (* 3 (- (log -1) (log f)))))
* [misc]backup-simplify:  Simplify (* (* (pow PI 3) (exp (* 3 (- (log -1) (log f))))) 1/192) into (* 1/192 (* (pow PI 3) (exp (* 3 (- (log -1) (log f))))))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (pow PI 5) (exp (* 5 (- (log -1) (log f)))))
* [misc]backup-simplify:  Simplify (* 1/61440 (* (pow PI 5) (exp (* 5 (- (log -1) (log f)))))) into (* 1/61440 (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 (* (pow PI 5) (exp (* 5 (- (log -1) (log f)))))) 0) into (* 1/61440 (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))
* [misc]backup-simplify:  Simplify (+ (* 1/192 (* (pow PI 3) (exp (* 3 (- (log -1) (log f)))))) (* 1/61440 (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))) into (+ (* 1/192 (* (pow PI 3) (exp (* 3 (- (log -1) (log f)))))) (* 1/61440 (* (pow PI 5) (exp (* 5 (- (log -1) (log f)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (* (pow PI 3) (exp (* 3 (- (log -1) (log f)))))) (* 1/61440 (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))) (- (* 1/2 PI)))))) into (- (+ (* 1/48 (* (exp (* 1/4 (/ PI f))) (* PI (exp (* 3 (- (log -1) (log f))))))) (+ (* 1/48 (* PI (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (+ (* 1/15360 (* (pow PI 3) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f))))))) (* 1/15360 (* (exp (* 1/4 (/ PI f))) (* (pow PI 3) (exp (* 5 (- (log -1) (log f)))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 1/4 (/ PI f))) (* PI (exp (* 3 (- (log -1) (log f))))))) (+ (* 1/48 (* PI (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (+ (* 1/15360 (* (pow PI 3) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f))))))) (* 1/15360 (* (exp (* 1/4 (/ PI f))) (* (pow PI 3) (exp (* 5 (- (log -1) (log f)))))))))))) 1)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (sqr PI) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (sqr PI) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (* (sqr PI) (exp (* 3 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (sqr PI) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (pow PI 3) (exp (* 3 (- (log -1) (log f))))) 0) (* 0 1/192)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f))
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (pow PI 5))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/61440 0) (* 0 (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/48 (* (exp (* 1/4 (/ PI f))) (* PI (exp (* 3 (- (log -1) (log f))))))) (+ (* 1/48 (* PI (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (+ (* 1/15360 (* (pow PI 3) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f))))))) (* 1/15360 (* (exp (* 1/4 (/ PI f))) (* (pow PI 3) (exp (* 5 (- (log -1) (log f))))))))))) (/ (+ (* 1/192 (* (pow PI 3) (exp (* 3 (- (log -1) (log f)))))) (* 1/61440 (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))) (- (* 1/2 PI)))))) into (- (+ (* 1/4608 (* (pow PI 3) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow PI 7) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f)))))))) (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (* (exp (* 1/4 (/ PI f))) (* (pow PI 7) (sqr (exp (* 5 (- (log -1) (log f)))))))) (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f))))))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 1/4 (/ PI f))) (* PI (exp (* 3 (- (log -1) (log f))))))) (+ (* 1/48 (* PI (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (+ (* 1/15360 (* (pow PI 3) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f))))))) (* 1/15360 (* (exp (* 1/4 (/ PI f))) (* (pow PI 3) (exp (* 5 (- (log -1) (log f)))))))))))) 2)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/4608 (* (pow PI 3) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow PI 7) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f)))))))) (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (* (exp (* 1/4 (/ PI f))) (* (pow PI 7) (sqr (exp (* 5 (- (log -1) (log f)))))))) (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f))))))))))))))) 1)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (sqr (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 8) (sqr (exp (* 5 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f)))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 5 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 5 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/9216 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (sqr (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (sqr (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 8) (sqr (exp (* 5 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f)))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 5 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 5 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/9216 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (sqr (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))))))))) into (* 1/2 (- (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4608 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 5 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/9216 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (sqr (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4608 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f))))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 5 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/9216 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (sqr (exp (* 3 (- (log -1) (log f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) (sqr (/ 1 (- f)))) (+ (* (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (* (sqr PI) (exp (* 3 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (sqr PI) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) (/ 1 (- f))) (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (+ (log f) (* 1/1474560 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f))))))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 5 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (sqr (exp (* 1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* -1/4 (/ PI f))))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/96 (/ (* (sqr PI) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f)))))))))))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 2 2 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2 1 1 2)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1 2 1)
* [misc]approximate:  Taking taylor expansion of (/ f (/ 4 PI)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ f (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ f (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (* 1/4 PI) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) f) into (* 1/4 (* PI f))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 f) (/ 4 PI)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (* 1/4 PI) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) (/ 1 (/ 1 f))) into (* 1/4 (* PI f))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- f)) (/ 4 PI)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (* -1/4 PI) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1/4 PI) (/ 1 (/ 1 (- f)))) into (* 1/4 (* PI f))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 2 2 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1 2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (- (+ (log (/ 4 PI)) (* 1/48 (* (sqr PI) (sqr f)))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (- (+ (log (/ 4 PI)) (* 1/48 (* (sqr PI) (sqr f)))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (210 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (* (+ (- (log (/ 4 PI)) (* (* (pow PI 4) 7/23040) (pow f 4))) (- (* (* (* PI f) (* PI f)) 1/48) (log f))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 2 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (- (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 12)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (+ (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log f) (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (- (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 12)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (+ (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log f) (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))))))))))
* * [misc]simplify:  iters left: 6 (131 enodes)
* * [misc]simplify:  iters left: 5 (408 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (- (- (+ (+ (+ (log (+ (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) PI) (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) PI))) (/ (/ (* (* 1/943718400 (pow PI 8)) (pow (exp 1/4) (/ PI f))) (pow f 12)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (+ (+ (* (/ (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 10) (pow PI 6))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) 1/1474560) (/ (/ (* (* 1/9216 (pow PI 4)) (pow (exp -1/4) (/ PI f))) (pow f 8)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (+ (/ (/ (* (* 1/9216 (pow PI 4)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8)) (log f)))) (+ (* (/ 1/1474560 (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (pow PI 6) (pow (exp -1/4) (/ PI f))) (pow f 10))) (/ (* (* 1/943718400 (pow PI 8)) (pow (exp -1/4) (/ PI f))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow f 12))))) (+ (* (/ 1/2949120 (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 6) (sqr (pow (exp -1/4) (/ PI f)))) (pow f 10))) (* (/ 1/96 (pow f 4)) (/ (* (pow (exp 1/4) (/ PI f)) (* PI PI)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (/ (* (* 1/18432 (pow PI 4)) (sqr (pow (exp 1/4) (/ PI f)))) (* (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8))) (/ (* (* 1/18432 (pow PI 4)) (sqr (pow (exp -1/4) (/ PI f)))) (* (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8)))) (+ (/ (* (* 1/1887436800 (pow PI 8)) (sqr (pow (exp -1/4) (/ PI f)))) (* (pow f 12) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (+ (+ (+ (/ (* (* 1/9216 (pow PI 4)) (exp (* (/ PI f) (+ -1/4 1/4)))) (* (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8))) (* (/ 1/1474560 (pow f 10)) (/ (* (pow PI 6) (exp (* (/ PI f) (+ -1/4 1/4)))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (/ (* (* 1/30720 (pow PI 4)) (pow (exp 1/4) (/ PI f))) (* (pow f 6) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ 1/943718400 (pow f 12)) (/ (* (pow PI 8) (exp (* (/ PI f) (+ -1/4 1/4)))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (* (/ 1/1887436800 (pow f 12)) (/ (* (* (pow PI 8) (pow (exp 1/4) (/ PI f))) (pow (exp 1/4) (/ PI f))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (* (/ 1/2949120 (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 6) (sqr (pow (exp 1/4) (/ PI f)))) (pow f 10)))))) (+ (* (/ 1/96 (pow f 4)) (/ (* (* PI PI) (pow (exp -1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (/ (* (* 1/30720 (pow PI 4)) (pow (exp -1/4) (/ PI f))) (pow f 6)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))))))
* * * * [misc]progress:  [ 3 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (- (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (+ (log f) (* 1/1474560 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f))))))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 5 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (sqr (exp (* 1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* -1/4 (/ PI f))))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/96 (/ (* (sqr PI) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f)))))))))))))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (- (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 5 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (+ (log f) (* 1/1474560 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 3 (- (log -1) (log f))))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f))))))))))) (+ (* 1/18432 (/ (* (pow PI 4) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (sqr (exp (* -1/4 (/ PI f)))) (sqr (exp (* 5 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (sqr (exp (* 3 (- (log -1) (log f)))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 1/4 (/ PI f)))) (* (pow PI 4) (sqr (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (* (sqr (exp (* -1/4 (/ PI f)))) (exp (* 3 (- (log -1) (log f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (sqr (exp (* 1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/30720 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 5 (- (log -1) (log f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (sqr (exp (* 5 (- (log -1) (log f))))) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* -1/4 (/ PI f))))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/96 (/ (* (sqr PI) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))))))))))))))))))
* * [misc]simplify:  iters left: 6 (159 enodes)
* * [misc]simplify:  iters left: 5 (449 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (- (+ (+ (+ (* (/ 1/9216 (sqr f)) (/ (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 3) (- (log -1) (log f)))) (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (* (pow PI 4) (pow (exp 1/4) (/ PI f)))))) (+ (/ (* (* 1/943718400 (* (pow PI 8) (pow (exp -1/4) (/ PI f)))) (* (pow (exp 5) (- (log -1) (log f))) (pow (exp 5) (- (log -1) (log f))))) (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (* 1/1474560 (pow PI 6)) (* (pow (exp -1/4) (/ PI f)) (exp (* (- (log -1) (log f)) (+ 5 3))))) (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (log (* (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) PI) -2)) (log f)) (/ (* (* 1/1474560 (* (pow (exp 1/4) (/ PI f)) (pow PI 6))) (exp (* (- (log -1) (log f)) (+ 5 3)))) (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (* (/ 1/943718400 (sqr f)) (/ (* (* (pow PI 8) (pow (exp 5) (- (log -1) (log f)))) (pow (exp 5) (- (log -1) (log f)))) (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow (exp 1/4) (/ PI f))))) (/ (* (* 1/9216 (* (pow PI 4) (pow (exp -1/4) (/ PI f)))) (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 3) (- (log -1) (log f))))) (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (* 1/18432 (* (/ (* (* (pow PI 4) (pow (exp -1/4) (/ PI f))) (pow (exp -1/4) (/ PI f))) (sqr f)) (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (/ (* (* 1/1887436800 (* (pow PI 8) (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (* (pow (exp 5) (- (log -1) (log f))) (pow (exp 5) (- (log -1) (log f))))) (* (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (pow (exp 1/4) (/ PI f)) (* PI PI)) f)) 1/96))) (+ (+ (+ (* (/ (* (* (pow (exp 1/4) (/ PI f)) (* (pow PI 4) (pow (exp 1/4) (/ PI f)))) (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 3) (- (log -1) (log f))))) (* (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) 1/18432) (+ (* (/ 1/30720 f) (/ (* (pow (exp 5) (- (log -1) (log f))) (pow PI 4)) (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow (exp 1/4) (/ PI f))))) (* (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (* (pow PI 4) (pow (exp -1/4) (/ PI f))) (/ (sqr f) (pow (exp 1/4) (/ PI f)))) 1/18432)))) (+ (+ (/ (* 1/2949120 (* (* (pow (exp 5) (- (log -1) (log f))) (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* (pow (exp 3) (- (log -1) (log f))) (pow PI 6)))) (* (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (+ (+ (/ (* (* 1/30720 (pow PI 4)) (* (pow (exp -1/4) (/ PI f)) (pow (exp 5) (- (log -1) (log f))))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) f)) (* (/ 1/1887436800 (sqr f)) (/ (* (* (pow PI 8) (pow (exp 5) (- (log -1) (log f)))) (pow (exp 5) (- (log -1) (log f)))) (/ (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (/ (* 1/1474560 (* (exp (* (- (log -1) (log f)) (+ 5 3))) (* (* (pow (exp 1/4) (/ PI f)) (pow PI 6)) (pow (exp -1/4) (/ PI f))))) (* (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ 1/96 f) (/ (* (* (* PI PI) (pow (exp -1/4) (/ PI f))) (pow (exp 3) (- (log -1) (log f)))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))))) (+ (* (* (/ (* (pow (exp 5) (- (log -1) (log f))) (pow (exp 5) (- (log -1) (log f)))) (/ (sqr f) (exp (* (/ PI f) (+ -1/4 1/4))))) (/ (pow PI 8) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) 1/943718400) (* (/ (* (* (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow (exp 3) (- (log -1) (log f)))) (* (pow (exp 5) (- (log -1) (log f))) (pow PI 6))) (* (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) 1/2949120)))) (/ (* (* 1/18432 (* (pow PI 4) (pow (exp 1/4) (/ PI f)))) (* (* (pow (exp -1/4) (/ PI f)) (pow (exp 3) (- (log -1) (log f)))) (pow (exp 3) (- (log -1) (log f))))) (* (* (sqr f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))))))
* * * * [misc]progress:  [ 4 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* PI f) 4))) (+ (* (* (cube f) (* 1/192 PI)) (* PI PI)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI 1/2) f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 5 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* PI f) 4))) (+ (* (* (cube f) (* 1/192 PI)) (* PI PI)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI 1/2) f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 6 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* PI f) 4))) (+ (* (* (cube f) (* 1/192 PI)) (* PI PI)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI 1/2) f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 7 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* PI f) 4))) (+ (* (* (cube f) (* 1/192 PI)) (* PI PI)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI 1/2) f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 8 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* PI f) 4))) (+ (* (* (cube f) (* 1/192 PI)) (* PI PI)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI 1/2) f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 9 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* PI f) 4))) (+ (* (* (cube f) (* 1/192 PI)) (* PI PI)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* PI 1/2) f))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 10 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* 1/4 (* PI f)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* 1/4 (* PI f)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (pow (exp 1/4) (* PI f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (cube f) (* PI 1/192)) (* PI PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 11 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* 1/4 (* PI f)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* 1/4 (* PI f)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (pow (exp 1/4) (* PI f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (cube f) (* PI 1/192)) (* PI PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 12 / 57 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* 1/4 (* PI f)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* 1/4 (* PI f)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (* (log (/ (+ (pow (exp 1/4) (* PI f)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (cube f) (* PI 1/192)) (* PI PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (- (/ (/ PI 4))))
* * * * [misc]progress:  [ 13 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (/ 1 1)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* * * * [misc]progress:  [ 14 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (/ 1 1)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))))>
* [enter]simplify:  Simplifying (log (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* * * * [misc]progress:  [ 15 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log 1) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [exit]simplify:  Simplified to (log 1)
* [enter]simplify:  Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* * * * [misc]progress:  [ 16 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (log (/ 1 (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))))>
* [enter]simplify:  Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* [enter]simplify:  Simplifying (log (/ 1 (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))
* [exit]simplify:  Simplified to (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))
* * * * [misc]progress:  [ 17 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (pow (* (* (cube f) (cube PI)) 1/192) 3) (pow (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))) 3)))) (log (+ (sqr (* (* (cube f) (cube PI)) 1/192)) (- (sqr (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))) (* (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (pow (* (* (cube f) (cube PI)) 1/192) 3) (pow (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))) 3))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (+ (cube (* (* 1/192 (cube PI)) (cube f))) (cube (+ (* (* PI 1/2) f) (* 1/61440 (* (pow PI 5) (pow f 5))))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (+ (cube (* (* 1/192 (cube PI)) (cube f))) (cube (+ (* (* PI 1/2) f) (* 1/61440 (* (pow PI 5) (pow f 5))))))))
* [enter]simplify:  Simplifying (log (+ (sqr (* (* (cube f) (cube PI)) 1/192)) (- (sqr (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))) (* (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (log (- (+ (sqr (* (* (sqr PI) (* PI 1/192)) (cube f))) (* (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* 1/2 (* PI f))) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* 1/2 (* PI f))))) (* (* (* (sqr PI) (* PI 1/192)) (cube f)) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* 1/2 (* PI f))))))
* [exit]simplify:  Simplified to (log (- (+ (sqr (* (* (sqr PI) (* PI 1/192)) (cube f))) (* (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* 1/2 (* PI f))) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* 1/2 (* PI f))))) (* (* (* (sqr PI) (* PI 1/192)) (cube f)) (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (* 1/2 (* PI f))))))
* * * * [misc]progress:  [ 18 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (sqr (* (* (cube f) (cube PI)) 1/192)) (sqr (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))) (log (- (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (sqr (* (* (cube f) (cube PI)) 1/192)) (sqr (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* * [misc]simplify:  iters left: 2 (460 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))) (- (sqr (* (* (cube f) (cube PI)) 1/192)) (* (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* f PI) 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* f PI) 1/2))))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))) (- (sqr (* (* (cube f) (cube PI)) 1/192)) (* (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* f PI) 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* f PI) 1/2))))))
* [enter]simplify:  Simplifying (log (- (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (log (- (- (* (* (cube PI) (cube f)) 1/192) (* (* (pow PI 5) (pow f 5)) 1/61440)) (* (* f 1/2) PI)))
* [exit]simplify:  Simplified to (log (- (- (* (* (cube PI) (cube f)) 1/192) (* (* (pow PI 5) (pow f 5)) 1/61440)) (* (* f 1/2) PI)))
* * * * [misc]progress:  [ 19 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (- (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (log (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* [enter]simplify:  Simplifying (log (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (log (+ (* (* (cube PI) (cube f)) 1/192) (+ (* (* f 1/2) PI) (* (* (pow PI 5) (pow f 5)) 1/61440))))
* [exit]simplify:  Simplified to (log (+ (* (* (cube PI) (cube f)) 1/192) (+ (* (* f 1/2) PI) (* (* (pow PI 5) (pow f 5)) 1/61440))))
* * * * [misc]progress:  [ 20 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (* 1 (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))))>
* [enter]simplify:  Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* * * * [misc]progress:  [ 21 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (pow (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))) 1)))>
* * * * [misc]progress:  [ 22 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (exp (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))>
* [enter]simplify:  Simplifying (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (log (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [exit]simplify:  Simplified to (log (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* * * * [misc]progress:  [ 23 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (exp (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))>
* [enter]simplify:  Simplifying (exp (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* PI (* 1/2 f)) (* (* (cube f) (cube PI)) 1/192))))
* [exit]simplify:  Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI)))) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* PI (* 1/2 f)) (* (* (cube f) (cube PI)) 1/192))))
* * * * [misc]progress:  [ 24 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (cube (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))>
* [enter]simplify:  Simplifying (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (cbrt (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [exit]simplify:  Simplified to (cbrt (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* * * * [misc]progress:  [ 25 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (cbrt (cube (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))>
* [enter]simplify:  Simplifying (cube (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (cube (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (* f f) (cube PI)) (* f 1/192))) (* (* 1/2 PI) f)))))
* [exit]simplify:  Simplified to (cube (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (* f f) (cube PI)) (* f 1/192))) (* (* 1/2 PI) f)))))
* * * * [misc]progress:  [ 26 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (sqr (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))>
* [enter]simplify:  Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [exit]simplify:  Simplified to (sqrt (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* * * * [misc]progress:  [ 27 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (* 1 (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))))>
* * * * [misc]progress:  [ 28 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (exp (* (log PI) 5)))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* (log PI) 5)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (* 5 (log PI))
* [exit]simplify:  Simplified to (* 5 (log PI))
* * * * [misc]progress:  [ 29 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow (pow PI 5) 1))) (* 1/2 (* PI f))))))))>
* * * * [misc]progress:  [ 30 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (exp (log (pow PI 5))))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (log (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (* (log PI) 5)
* [exit]simplify:  Simplified to (* (log PI) 5)
* * * * [misc]progress:  [ 31 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (log (exp (pow PI 5))))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (exp (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (pow PI 5))
* [exit]simplify:  Simplified to (exp (pow PI 5))
* * * * [misc]progress:  [ 32 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (cube (cbrt (pow PI 5))))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (cbrt (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (pow PI 5))
* [exit]simplify:  Simplified to (cbrt (pow PI 5))
* * * * [misc]progress:  [ 33 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (cbrt (cube (pow PI 5))))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (cube (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (cube (pow PI 5))
* [exit]simplify:  Simplified to (cube (pow PI 5))
* * * * [misc]progress:  [ 34 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (sqr (sqrt (pow PI 5))))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (sqrt (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (pow PI 5))
* [exit]simplify:  Simplified to (sqrt (pow PI 5))
* * * * [misc]progress:  [ 35 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (* 1 (pow PI 5)))) (* 1/2 (* PI f))))))))>
* * * * [misc]progress:  [ 36 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (pow PI 3)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* * * * [misc]progress:  [ 37 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (pow (cube PI) 1)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* * * * [misc]progress:  [ 38 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (exp (log (cube PI)))) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (log (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (log (cube PI))
* [exit]simplify:  Simplified to (log (cube PI))
* * * * [misc]progress:  [ 39 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (log (exp (cube PI)))) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (exp (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (exp (cube PI))
* [exit]simplify:  Simplified to (exp (cube PI))
* * * * [misc]progress:  [ 40 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube (cbrt (cube PI)))) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (cbrt (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to PI
* [exit]simplify:  Simplified to PI
* * * * [misc]progress:  [ 41 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cbrt (cube (cube PI)))) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (cube (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (cube (cube PI))
* [exit]simplify:  Simplified to (cube (cube PI))
* * * * [misc]progress:  [ 42 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (* PI (* PI PI))) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (* PI PI)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (* PI PI)
* [exit]simplify:  Simplified to (* PI PI)
* * * * [misc]progress:  [ 43 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (sqr (sqrt (cube PI)))) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (sqrt (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cube PI))
* [exit]simplify:  Simplified to (sqrt (cube PI))
* * * * [misc]progress:  [ 44 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (* 1 (cube PI))) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* * * * [misc]progress:  [ 45 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (pow (/ f (/ 4 PI)) 1))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* * * * [misc]progress:  [ 46 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (exp (log (/ f (/ 4 PI)))))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (log (/ f (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (log (/ (* PI f) 4))
* [exit]simplify:  Simplified to (log (/ (* PI f) 4))
* * * * [misc]progress:  [ 47 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (log (exp (/ f (/ 4 PI)))))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (exp (/ f (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (exp (/ f (/ 4 PI)))
* [exit]simplify:  Simplified to (exp (/ f (/ 4 PI)))
* * * * [misc]progress:  [ 48 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (cube (cbrt (/ f (/ 4 PI)))))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (cbrt (/ f (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (cbrt (/ f (/ 4 PI)))
* [exit]simplify:  Simplified to (cbrt (/ f (/ 4 PI)))
* * * * [misc]progress:  [ 49 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (cbrt (cube (/ f (/ 4 PI)))))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (cube (/ f (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (cube (/ f (/ 4 PI)))
* [exit]simplify:  Simplified to (cube (/ f (/ 4 PI)))
* * * * [misc]progress:  [ 50 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (sqr (sqrt (/ f (/ 4 PI)))))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (sqrt (/ f (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (/ f (/ 4 PI)))
* [exit]simplify:  Simplified to (sqrt (/ f (/ 4 PI)))
* * * * [misc]progress:  [ 51 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (- (/ 4 PI))))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (- f)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- f)
* [exit]simplify:  Simplified to (- f)
* [enter]simplify:  Simplifying (- (/ 4 PI))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (- 4) PI)
* [exit]simplify:  Simplified to (/ (- 4) PI)
* * * * [misc]progress:  [ 52 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* 1 (/ f (/ 4 PI))))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* * * * [misc]progress:  [ 53 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ 1 (/ 4 PI))))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 4 PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (/ PI 4)
* [exit]simplify:  Simplified to (/ PI 4)
* * * * [misc]progress:  [ 54 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ 1 (/ (/ 4 PI) f)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (/ (/ 4 PI) f)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 4 PI) f)
* [exit]simplify:  Simplified to (/ (/ 4 PI) f)
* * * * [misc]progress:  [ 55 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (/ f 1) (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (/ f 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ f 1)
* [exit]simplify:  Simplified to (/ f 1)
* * * * [misc]progress:  [ 56 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (/ f 4) (/ 1 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (/ f 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ f 4)
* [exit]simplify:  Simplified to (/ f 4)
* * * * [misc]progress:  [ 57 / 57 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ f 4) PI))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>
* [enter]simplify:  Simplifying (/ f 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ f 4)
* [exit]simplify:  Simplified to (/ f 4)
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (/ f (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ f (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (/ f (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ f (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 1)))) 2) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (* 1/32 (sqr PI)) into (* 1/32 (sqr PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3))
* [misc]backup-simplify:  Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/16 (sqr PI))) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/3072 (pow PI 4))) 1)) (pow 2 1)))) 24) into (* -1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (* -1/3072 (pow PI 4)) into (* -1/3072 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (* -1/3072 (pow PI 4)) (pow f 4)) (+ (* (* 1/32 (sqr PI)) (sqr f)) (log 2))) into (- (+ (log 2) (* 1/32 (* (sqr PI) (sqr f)))) (* 1/3072 (* (pow PI 4) (pow f 4))))
* [misc]approximate:  Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (/ (/ 1 f) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (/ 1 f) (/ 4 PI))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]taylor:  Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (/ (/ 1 f) (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (/ (/ 1 f) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (/ 1 f) (/ 4 PI))) into (exp (* 1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]approximate:  Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (/ (/ 1 (- f)) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (/ 1 (- f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]taylor:  Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI))))) in f
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (/ (/ 1 (- f)) (/ 4 PI)))) in f
* [misc]taylor:  Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f)))
* [misc]taylor:  Taking taylor expansion of (exp (/ (/ 1 (- f)) (/ 4 PI))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (exp (/ (/ 1 (- f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f)))
* [misc]backup-simplify:  Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))
* [misc]backup-simplify:  Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2 1 1 1 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 1 1 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (- f) (/ 4 PI)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ (- f) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (* -1/4 PI) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1/4 PI) f) into (* -1/4 (* PI f))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 f)) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (* -1/4 PI) into (* -1/4 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1/4 PI) (/ 1 (/ 1 f))) into (* -1/4 (* PI f))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- f))) in f
* [misc]taylor:  Taking taylor expansion of (/ 1 (- f)) in f
* [misc]taylor:  Taking taylor expansion of (- f) in f
* [misc]taylor:  Taking taylor expansion of f in f
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 4 PI) in f
* [misc]taylor:  Taking taylor expansion of 4 in f
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of PI in f
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (/ 4 PI) into (/ 4 PI)
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (* 1/4 PI) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 4 PI)) (+ (* (* 1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 1/4 PI) (/ 1 (/ 1 (- f)))) into (* -1/4 (* PI f))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1 1 1 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1 1 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (- (+ (log 2) (* 1/32 (* (sqr PI) (sqr f)))) (* 1/3072 (* (pow PI 4) (pow f 4)))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (- (+ (log 2) (* 1/32 (* (sqr PI) (sqr f)))) (* 1/3072 (* (pow PI 4) (pow f 4)))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (+ (log (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* (cube PI) (cube f)) 1/192) (* f (* PI 1/2))))) (- (- (+ (log 2) (* (* (* f f) (* PI PI)) 1/32)) (* 1/3072 (* (pow f 4) (pow PI 4)))))))
* * * * [misc]progress:  [ 2 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (* (+ (log (+ (+ (* (cube f) (* 1/192 (cube PI))) (* (* f 1/2) PI)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (- (log (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 3 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (* (+ (log (+ (+ (* (cube f) (* 1/192 (cube PI))) (* (* f 1/2) PI)) (* (pow PI 5) (* 1/61440 (pow f 5))))) (- (log (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 4 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (355 enodes)
* [exit]simplify:  Simplified to (* (+ (log (+ (* 1/2 (* PI f)) (+ (* (cube f) (* 1/192 (cube PI))) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 5 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (355 enodes)
* [exit]simplify:  Simplified to (* (+ (log (+ (* 1/2 (* PI f)) (+ (* (cube f) (* 1/192 (cube PI))) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 6 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (355 enodes)
* [exit]simplify:  Simplified to (* (+ (log (+ (* 1/2 (* PI f)) (+ (* (cube f) (* 1/192 (cube PI))) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 7 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (355 enodes)
* [exit]simplify:  Simplified to (* (+ (log (+ (* 1/2 (* PI f)) (+ (* (cube f) (* 1/192 (cube PI))) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 8 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (355 enodes)
* [exit]simplify:  Simplified to (* (+ (log (+ (* 1/2 (* PI f)) (+ (* (cube f) (* 1/192 (cube PI))) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 9 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (355 enodes)
* [exit]simplify:  Simplified to (* (+ (log (+ (* 1/2 (* PI f)) (+ (* (cube f) (* 1/192 (cube PI))) (* (* (pow PI 5) 1/61440) (pow f 5))))) (- (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))))) (/ (/ PI 4)))
* * * * [misc]progress:  [ 10 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp -1/4) (* f PI)) (exp (* (/ f 4) PI))))) (log (+ (* PI (* f 1/2)) (+ (* (cube f) (* 1/192 (cube PI))) (* (pow PI 5) (* 1/61440 (pow f 5))))))))
* * * * [misc]progress:  [ 11 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp -1/4) (* f PI)) (exp (* (/ f 4) PI))))) (log (+ (* PI (* f 1/2)) (+ (* (cube f) (* 1/192 (cube PI))) (* (pow PI 5) (* 1/61440 (pow f 5))))))))
* * * * [misc]progress:  [ 12 / 66 ] simplifiying candidate #<alt-event (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (* PI f))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp -1/4) (* f PI)) (exp (* (/ f 4) PI))))) (log (+ (* PI (* f 1/2)) (+ (* (cube f) (* 1/192 (cube PI))) (* (pow PI 5) (* 1/61440 (pow f 5))))))))
* * * * [misc]progress:  [ 13 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (+ (log 1) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [exit]simplify:  Simplified to (log 1)
* [enter]simplify:  Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* * * * [misc]progress:  [ 14 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (+ (log 1) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [exit]simplify:  Simplified to (log 1)
* [enter]simplify:  Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* * * * [misc]progress:  [ 15 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (- (log (+ (pow (exp (/ (- f) (/ 4 PI))) 3) (pow (exp (/ f (/ 4 PI))) 3))) (log (+ (sqr (exp (/ (- f) (/ 4 PI)))) (- (sqr (exp (/ f (/ 4 PI)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (log (+ (pow (exp (/ (- f) (/ 4 PI))) 3) (pow (exp (/ f (/ 4 PI))) 3)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (log (+ (pow (exp (/ f 4)) (* (+ 2 1) (- PI))) (pow (exp (/ f 4)) (+ PI (+ PI PI)))))
* [exit]simplify:  Simplified to (log (+ (pow (exp (/ f 4)) (* (+ 2 1) (- PI))) (pow (exp (/ f 4)) (+ PI (+ PI PI)))))
* [enter]simplify:  Simplifying (log (+ (sqr (exp (/ (- f) (/ 4 PI)))) (- (sqr (exp (/ f (/ 4 PI)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (log (+ (- (exp (* (+ PI PI) (/ f 4))) 1) (pow (exp (/ f 4)) (- (+ PI PI)))))
* [exit]simplify:  Simplified to (log (+ (- (exp (* (+ PI PI) (/ f 4))) 1) (pow (exp (/ f 4)) (- (+ PI PI)))))
* * * * [misc]progress:  [ 16 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (- (log (- (sqr (exp (/ (- f) (/ 4 PI)))) (sqr (exp (/ f (/ 4 PI)))))) (log (- (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (log (- (sqr (exp (/ (- f) (/ 4 PI)))) (sqr (exp (/ f (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (log (- (pow (exp (/ f 4)) (- (+ PI PI))) (exp (* (+ PI PI) (/ f 4)))))
* [exit]simplify:  Simplified to (log (- (pow (exp (/ f 4)) (- (+ PI PI))) (exp (* (+ PI PI) (/ f 4)))))
* [enter]simplify:  Simplifying (log (- (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (log (- (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))))
* [exit]simplify:  Simplified to (log (- (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))))
* * * * [misc]progress:  [ 17 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (* 1 (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* [exit]simplify:  Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))))
* * * * [misc]progress:  [ 18 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (pow (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) 1) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* * * * [misc]progress:  [ 19 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (exp (log (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (log (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (log (log (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))
* [exit]simplify:  Simplified to (log (log (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))
* * * * [misc]progress:  [ 20 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (exp (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (exp (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))
* [exit]simplify:  Simplified to (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))
* * * * [misc]progress:  [ 21 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (cube (cbrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (cbrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (cbrt (log (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))
* [exit]simplify:  Simplified to (cbrt (log (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))
* * * * [misc]progress:  [ 22 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (cbrt (cube (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (cube (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (cube (log (+ (exp (* f (/ PI 4))) (exp (* (- PI) (/ f 4))))))
* [exit]simplify:  Simplified to (cube (log (+ (exp (* f (/ PI 4))) (exp (* (- PI) (/ f 4))))))
* * * * [misc]progress:  [ 23 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (sqr (sqrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (sqrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (sqrt (log (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))
* [exit]simplify:  Simplified to (sqrt (log (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))
* * * * [misc]progress:  [ 24 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (* 1 (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* * * * [misc]progress:  [ 25 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (exp (* (log PI) 5)))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (* (log PI) 5)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (* 5 (log PI))
* [exit]simplify:  Simplified to (* 5 (log PI))
* * * * [misc]progress:  [ 26 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow (pow PI 5) 1))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* * * * [misc]progress:  [ 27 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (exp (log (pow PI 5))))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (log (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (* (log PI) 5)
* [exit]simplify:  Simplified to (* (log PI) 5)
* * * * [misc]progress:  [ 28 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (log (exp (pow PI 5))))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (exp (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (pow PI 5))
* [exit]simplify:  Simplified to (exp (pow PI 5))
* * * * [misc]progress:  [ 29 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (cube (cbrt (pow PI 5))))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (cbrt (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (pow PI 5))
* [exit]simplify:  Simplified to (cbrt (pow PI 5))
* * * * [misc]progress:  [ 30 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (cbrt (cube (pow PI 5))))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (cube (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (cube (pow PI 5))
* [exit]simplify:  Simplified to (cube (pow PI 5))
* * * * [misc]progress:  [ 31 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (sqr (sqrt (pow PI 5))))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (sqrt (pow PI 5))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (pow PI 5))
* [exit]simplify:  Simplified to (sqrt (pow PI 5))
* * * * [misc]progress:  [ 32 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (* 1 (pow PI 5)))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* * * * [misc]progress:  [ 33 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (pow PI 3)) 1/192)))))))>
* * * * [misc]progress:  [ 34 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (pow (cube PI) 1)) 1/192)))))))>
* * * * [misc]progress:  [ 35 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (exp (log (cube PI)))) 1/192)))))))>
* [enter]simplify:  Simplifying (log (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (log (cube PI))
* [exit]simplify:  Simplified to (log (cube PI))
* * * * [misc]progress:  [ 36 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (log (exp (cube PI)))) 1/192)))))))>
* [enter]simplify:  Simplifying (exp (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (exp (cube PI))
* [exit]simplify:  Simplified to (exp (cube PI))
* * * * [misc]progress:  [ 37 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube (cbrt (cube PI)))) 1/192)))))))>
* [enter]simplify:  Simplifying (cbrt (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to PI
* [exit]simplify:  Simplified to PI
* * * * [misc]progress:  [ 38 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cbrt (cube (cube PI)))) 1/192)))))))>
* [enter]simplify:  Simplifying (cube (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (cube (cube PI))
* [exit]simplify:  Simplified to (cube (cube PI))
* * * * [misc]progress:  [ 39 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (* PI (* PI PI))) 1/192)))))))>
* [enter]simplify:  Simplifying (* PI PI)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (* PI PI)
* [exit]simplify:  Simplified to (* PI PI)
* * * * [misc]progress:  [ 40 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (sqr (sqrt (cube PI)))) 1/192)))))))>
* [enter]simplify:  Simplifying (sqrt (cube PI))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cube PI))
* [exit]simplify:  Simplified to (sqrt (cube PI))
* * * * [misc]progress:  [ 41 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (* 1 (cube PI))) 1/192)))))))>
* * * * [misc]progress:  [ 42 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (pow (/ (- f) (/ 4 PI)) 1)) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* * * * [misc]progress:  [ 43 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (exp (- (log (- f)) (log (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (- (log (- f)) (log (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (16 enodes)
* [exit]simplify:  Simplified to (- (log (- f)) (log (/ 4 PI)))
* [exit]simplify:  Simplified to (- (log (- f)) (log (/ 4 PI)))
* * * * [misc]progress:  [ 44 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (exp (log (/ (- f) (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (log (/ (- f) (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (log (* (- PI) (/ f 4)))
* [exit]simplify:  Simplified to (log (* (- PI) (/ f 4)))
* * * * [misc]progress:  [ 45 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (log (exp (/ (- f) (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (exp (/ (- f) (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (exp (* (- PI) (/ f 4)))
* [exit]simplify:  Simplified to (exp (* (- PI) (/ f 4)))
* * * * [misc]progress:  [ 46 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (cbrt (/ (cube (- f)) (cube (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (cube (- f)) (cube (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (cube (/ (- f) (/ 4 PI)))
* [exit]simplify:  Simplified to (cube (/ (- f) (/ 4 PI)))
* * * * [misc]progress:  [ 47 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (cube (cbrt (/ (- f) (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (cbrt (/ (- f) (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (cbrt (* (- PI) (/ f 4)))
* [exit]simplify:  Simplified to (cbrt (* (- PI) (/ f 4)))
* * * * [misc]progress:  [ 48 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (cbrt (cube (/ (- f) (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (cube (/ (- f) (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (cube (* (- PI) (/ f 4)))
* [exit]simplify:  Simplified to (cube (* (- PI) (/ f 4)))
* * * * [misc]progress:  [ 49 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (cube (/ (cbrt (- f)) (cbrt (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (- f)) (cbrt (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI)))
* [exit]simplify:  Simplified to (/ (cbrt (- f)) (cbrt (/ 4 PI)))
* * * * [misc]progress:  [ 50 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (sqr (sqrt (/ (- f) (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (- f) (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- PI) (/ f 4)))
* [exit]simplify:  Simplified to (sqrt (* (- PI) (/ f 4)))
* * * * [misc]progress:  [ 51 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (sqr (/ (sqrt (- f)) (sqrt (/ 4 PI))))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (- f)) (sqrt (/ 4 PI)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI)))
* [exit]simplify:  Simplified to (/ (sqrt (- f)) (sqrt (/ 4 PI)))
* * * * [misc]progress:  [ 52 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- (- f)) (- (/ 4 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (- (- f))
* * [misc]simplify:  iters left: 4 (3 enodes)
* [exit]simplify:  Simplified to f
* [exit]simplify:  Simplified to f
* [enter]simplify:  Simplifying (- (/ 4 PI))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (- 4) PI)
* [exit]simplify:  Simplified to (/ (- 4) PI)
* * * * [misc]progress:  [ 53 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (- (/ 0 (/ 4 PI)) (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ 0 (/ 4 PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (/ f (/ 4 PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (/ f (/ 4 PI))
* [exit]simplify:  Simplified to (/ f (/ 4 PI))
* * * * [misc]progress:  [ 54 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* (/ 1 1) (/ (- f) (/ 4 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (- f) (/ 4 PI))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ f 4) (- PI))
* [exit]simplify:  Simplified to (* (/ f 4) (- PI))
* * * * [misc]progress:  [ 55 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* (/ 1 4) (/ (- f) (/ 1 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ 1 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 4)
* [exit]simplify:  Simplified to (/ 1 4)
* [enter]simplify:  Simplifying (/ (- f) (/ 1 PI))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* (- PI) (/ f 1))
* [exit]simplify:  Simplified to (* (- PI) (/ f 1))
* * * * [misc]progress:  [ 56 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* (/ -1 1) (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ -1 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ -1 1)
* [exit]simplify:  Simplified to (/ -1 1)
* [enter]simplify:  Simplifying (/ f (/ 4 PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (/ f (/ 4 PI))
* [exit]simplify:  Simplified to (/ f (/ 4 PI))
* * * * [misc]progress:  [ 57 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* (/ -1 4) (/ f (/ 1 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ -1 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ -1 4)
* [exit]simplify:  Simplified to (/ -1 4)
* [enter]simplify:  Simplifying (/ f (/ 1 PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (/ f (/ 1 PI))
* [exit]simplify:  Simplified to (/ f (/ 1 PI))
* * * * [misc]progress:  [ 58 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* 1 (/ (- f) (/ 4 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* * * * [misc]progress:  [ 59 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* (- f) (/ 1 (/ 4 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 4 PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (/ PI 4)
* [exit]simplify:  Simplified to (/ PI 4)
* * * * [misc]progress:  [ 60 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ 1 (/ (/ 4 PI) (- f)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (/ 4 PI) (- f))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ 4 PI) (- f))
* [exit]simplify:  Simplified to (/ (/ 4 PI) (- f))
* * * * [misc]progress:  [ 61 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (- (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ f (/ 4 PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (/ f (/ 4 PI))
* [exit]simplify:  Simplified to (/ f (/ 4 PI))
* * * * [misc]progress:  [ 62 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (/ (- f) 1) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (- f) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (- f) 1)
* [exit]simplify:  Simplified to (/ (- f) 1)
* * * * [misc]progress:  [ 63 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (/ (- f) 4) (/ 1 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (- f) 4)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (- f) 4)
* [exit]simplify:  Simplified to (/ (- f) 4)
* * * * [misc]progress:  [ 64 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ 1 (/ (/ 4 PI) (- f)))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (/ 4 PI) (- f))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ 4 PI) (- f))
* [exit]simplify:  Simplified to (/ (/ 4 PI) (- f))
* * * * [misc]progress:  [ 65 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ -1 (/ (/ 4 PI) f))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (/ 4 PI) f)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 4 PI) f)
* [exit]simplify:  Simplified to (/ (/ 4 PI) f)
* * * * [misc]progress:  [ 66 / 66 ] simplifiying candidate #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (* (/ (- f) 4) PI)) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))>
* [enter]simplify:  Simplifying (/ (- f) 4)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (- f) 4)
* [exit]simplify:  Simplified to (/ (- f) 4)
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (f) (* (- (/ (/ PI 4))) (exp (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))> #<alt-event (λ (f) (- (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))))> #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cube (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt-delta (λ (f) (- (cube (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))))> #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))> #<alt-delta (λ (f) (- (* (/ (/ PI 4)) (log (/ (+ (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) (* (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (+ (exp (* (/ f 4) (+ PI PI))) (- (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) 1))))))))> #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (+ (cube (* (* 1/192 (cube PI)) (cube f))) (cube (+ (* (* PI 1/2) f) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (log (+ (sqr (* (* (cube f) (cube PI)) 1/192)) (- (sqr (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))) (* (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))> #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI))))) (- (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))))))> #<alt-event (λ (f) (* (- (/ (/ PI 4))) (- (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 12)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (+ (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log f) (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))))))))> #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (sqr (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))> #<alt-delta (λ (f) (* (- (/ (/ PI 4))) (cube (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))))> #<alt-delta (λ (f) (- (+ (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* f 1/12) (* f PI)) (* (cube PI) (* (pow f 4) 7/5760))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 f +inf.0)) , with alts (#<alt-delta (λ (f) (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))))>)
* [enter]simplify:  Simplifying (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (log (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [exit]simplify:  Simplified to (log (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [enter]simplify:  Simplifying (- (* 4 (/ (log (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (log (/ (+ (exp (* (- PI) (/ 1/4 f))) (pow (exp 1/4) (/ PI f))) (- (pow (exp 1/4) (/ PI f)) (exp (* (- PI) (/ 1/4 f)))))) (/ PI (- 4)))
* [enter]simplify:  Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* [exit]simplify:  Simplified to (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))
* [enter]simplify:  Simplifying (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))))
* [enter]simplify:  Simplifying (- (/ (/ PI 4)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* [exit]simplify:  Simplified to (- (/ (/ PI 4)))
* [exit]simplify:  Simplified to (- (/ (/ PI 4)))
* [enter]simplify:  Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* [exit]simplify:  Simplified to (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* (cube f) (cube PI)) 1/192)) (* PI (* 1/2 f)))))
* [enter]simplify:  Simplifying (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (- (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4))))
* [exit]simplify:  Simplified to (- (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4))))
* [enter]simplify:  Simplifying (+ (exp (* (/ f 4) (+ PI PI))) (- (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (+ (- (pow (exp (- f)) (/ (+ PI PI) 4)) 1) (exp (* (+ f f) (/ PI 4))))
* [exit]simplify:  Simplified to (+ (- (pow (exp (- f)) (/ (+ PI PI) 4)) 1) (exp (* (+ f f) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (+ (cube (* (* 1/192 (cube PI)) (cube f))) (cube (+ (* (* PI 1/2) f) (* 1/61440 (* (pow PI 5) (pow f 5)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))) (+ (cube (* (cube f) (* 1/192 (cube PI)))) (cube (+ (* (* 1/2 f) PI) (* (pow PI 5) (* (pow f 5) 1/61440))))))
* [exit]simplify:  Simplified to (/ (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))) (+ (cube (* (cube f) (* 1/192 (cube PI)))) (cube (+ (* (* 1/2 f) PI) (* (pow PI 5) (* (pow f 5) 1/61440))))))
* [enter]simplify:  Simplifying (log (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* f (* PI 1/2))) (* (* (cube f) (cube PI)) 1/192)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (log (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* PI (* 1/2 f)) (* (* (cube f) (cube PI)) 1/192))))
* [exit]simplify:  Simplified to (log (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* PI (* 1/2 f)) (* (* (cube f) (cube PI)) 1/192))))
* [enter]simplify:  Simplifying (* (- (/ (/ PI 4))) (- (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 12)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 10)))) (+ (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 8)))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log f) (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))))))))))
* * [misc]simplify:  iters left: 6 (131 enodes)
* * [misc]simplify:  iters left: 5 (408 enodes)
* [exit]simplify:  Simplified to (* (- (/ (/ PI 4))) (- (- (+ (+ (+ (log (+ (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) PI) (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) PI))) (/ (/ (* (* 1/943718400 (pow PI 8)) (pow (exp 1/4) (/ PI f))) (pow f 12)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (+ (+ (* (/ (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 10) (pow PI 6))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) 1/1474560) (/ (/ (* (* 1/9216 (pow PI 4)) (pow (exp -1/4) (/ PI f))) (pow f 8)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (+ (/ (/ (* (* 1/9216 (pow PI 4)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8)) (log f)))) (+ (* (/ 1/1474560 (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (pow PI 6) (pow (exp -1/4) (/ PI f))) (pow f 10))) (/ (* (* 1/943718400 (pow PI 8)) (pow (exp -1/4) (/ PI f))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow f 12))))) (+ (* (/ 1/2949120 (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 6) (sqr (pow (exp -1/4) (/ PI f)))) (pow f 10))) (* (/ 1/96 (pow f 4)) (/ (* (pow (exp 1/4) (/ PI f)) (* PI PI)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (/ (* (* 1/18432 (pow PI 4)) (sqr (pow (exp 1/4) (/ PI f)))) (* (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8))) (/ (* (* 1/18432 (pow PI 4)) (sqr (pow (exp -1/4) (/ PI f)))) (* (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8)))) (+ (/ (* (* 1/1887436800 (pow PI 8)) (sqr (pow (exp -1/4) (/ PI f)))) (* (pow f 12) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (+ (+ (+ (/ (* (* 1/9216 (pow PI 4)) (exp (* (/ PI f) (+ -1/4 1/4)))) (* (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 8))) (* (/ 1/1474560 (pow f 10)) (/ (* (pow PI 6) (exp (* (/ PI f) (+ -1/4 1/4)))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (/ (* (* 1/30720 (pow PI 4)) (pow (exp 1/4) (/ PI f))) (* (pow f 6) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ 1/943718400 (pow f 12)) (/ (* (pow PI 8) (exp (* (/ PI f) (+ -1/4 1/4)))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (* (/ 1/1887436800 (pow f 12)) (/ (* (* (pow PI 8) (pow (exp 1/4) (/ PI f))) (pow (exp 1/4) (/ PI f))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (* (/ 1/2949120 (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 6) (sqr (pow (exp 1/4) (/ PI f)))) (pow f 10)))))) (+ (* (/ 1/96 (pow f 4)) (/ (* (* PI PI) (pow (exp -1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (/ (* (* 1/30720 (pow PI 4)) (pow (exp -1/4) (/ PI f))) (pow f 6)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))))))
* [enter]simplify:  Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [exit]simplify:  Simplified to (sqrt (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [enter]simplify:  Simplifying (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (+ (* (* (cube f) (cube PI)) 1/192) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/2 (* PI f)))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (cbrt (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [exit]simplify:  Simplified to (cbrt (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* 1/2 f) PI) (* (cube PI) (* (cube f) 1/192))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))
* [enter]simplify:  Simplifying (+ (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* f 1/12) (* f PI)) (* (cube PI) (* (pow f 4) 7/5760))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (+ (- (* (* PI 1/12) (sqr f)) (* (cube PI) (* 7/5760 (pow f 4)))) (* (- (log (/ 4 PI)) (log f)) (/ 4 PI)))
* [exit]simplify:  Simplified to (+ (- (* (* PI 1/12) (sqr f)) (* (cube PI) (* 7/5760 (pow f 4)))) (* (- (log (/ 4 PI)) (log f)) (/ 4 PI)))