* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 194 additional inputs, on iter 1 have 62 / 256
* * * * [misc]points:  Computing exacts on every 12 of 194 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 194 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 194 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 194 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 144 additional inputs, on iter 2 have 112 / 256
* * * * [misc]points:  Computing exacts on every 9 of 144 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 144 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 144 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 144 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 109 additional inputs, on iter 3 have 147 / 256
* * * * [misc]points:  Computing exacts on every 6 of 109 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 109 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 109 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 79 additional inputs, on iter 4 have 177 / 256
* * * * [misc]points:  Computing exacts on every 4 of 79 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 79 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 79 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 55 additional inputs, on iter 5 have 201 / 256
* * * * [misc]points:  Computing exacts on every 3 of 55 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 55 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 45 additional inputs, on iter 6 have 211 / 256
* * * * [misc]points:  Computing exacts on every 2 of 45 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 45 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 29 additional inputs, on iter 7 have 227 / 256
* * * * [misc]points:  Computing exacts for 29 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 23 additional inputs, on iter 8 have 233 / 256
* * * * [misc]points:  Computing exacts for 23 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 15 additional inputs, on iter 9 have 241 / 256
* * * * [misc]points:  Computing exacts for 15 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 13 additional inputs, on iter 10 have 243 / 256
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 11 additional inputs, on iter 11 have 245 / 256
* * * * [misc]points:  Computing exacts for 11 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 8 additional inputs, on iter 12 have 248 / 256
* * * * [misc]points:  Computing exacts for 8 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 13 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 14 have 252 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 15 have 254 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 16 have 254 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 17 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 18 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (- (* (/ 1 (/ PI 4)) (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 (294 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (f) (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (/ (+ (log f) (log (* 1/4 PI))) (* 1/4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [misc]taylor:  Taking taylor expansion of (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (/ (+ (log f) (log (* 1/4 PI))) (* 1/4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* -1/48 (pow PI 2)) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 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)) (* 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 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 (- (/ (* 7/23040 (pow PI 4)) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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)) (pow f 2)) (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)))) into (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2))))
* [misc]approximate:  Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 f)))) (/ PI 4)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 f)))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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) 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 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 1/4 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]taylor:  Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 f)))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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) 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 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 1/4 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 (* 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) 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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) 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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) 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 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 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 (/ (log (tanh (* (/ PI 4) (/ 1 (- f))))) (/ PI 4)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 (- f))))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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) 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 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4 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]taylor:  Taking taylor expansion of (/ (log (tanh (* (/ PI 4) (/ 1 (- f))))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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) 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 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4 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 (* 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) 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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) 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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) 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 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- 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:  [ 2 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) f) in (f) around 0
* [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]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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) 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 (* (/ PI 4) (/ 1 f)) in (f) around 0
* [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]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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 1)) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 1))) 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 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 0) (* 0 1)))) 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 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 0) (* 0 1))))) 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 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 0) (* 0 1)))))) 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 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) 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 (* (/ PI 4) (/ 1 (- f))) in (f) around 0
* [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]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 -1)) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 -1))) 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 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 0) (* 0 -1)))) 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 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 0) (* 0 -1))))) 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 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 0) (* 0 -1)))))) 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 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) 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:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (log f) (log (* 1/4 PI))) into (+ (log f) (log (* 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 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)) (* 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (* -1/48 (pow PI 2)) into (* -1/48 (pow PI 2))
* [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 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 (pow PI 2)) (pow f 2)) (+ (log f) (log (* 1/4 PI))))) into (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2))))
* [misc]approximate:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 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 (tanh (* (/ PI 4) (/ 1 (- f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- 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:  [ 4 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (* 1/7680 (pow PI 5)) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (+ (* (* 1/7680 (pow PI 5)) (pow f 5)) (+ (* (- (* 1/192 (pow PI 3))) (pow f 3)) (* (* 1/4 PI) f))) into (- (+ (* 1/7680 (* (pow PI 5) (pow f 5))) (* 1/4 (* PI f))) (* 1/192 (* (pow PI 3) (pow f 3))))
* [misc]approximate:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 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 (tanh (* (/ PI 4) (/ 1 (- f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) into (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 90 ] simplifiying candidate #<alt (λ (f) (pow (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) 1))>
* * * * [misc]progress:  [ 2 / 90 ] simplifiying candidate #<alt (λ (f) (exp (- (log (log (tanh (* (/ PI 4) f)))) (log (/ PI 4)))))>
* [enter]simplify:  Simplifying (- (log (log (tanh (* (/ PI 4) f)))) (log (/ PI 4)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (185 enodes)
* [exit]simplify:  Simplified to (log (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (exp (log (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))
* * * * [misc]progress:  [ 3 / 90 ] simplifiying candidate #<alt (λ (f) (exp (log (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))>
* * * * [misc]progress:  [ 4 / 90 ] simplifiying candidate #<alt (λ (f) (log (exp (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))>
* * * * [misc]progress:  [ 5 / 90 ] simplifiying candidate #<alt (λ (f) (cbrt (/ (* (* (log (tanh (* (/ PI 4) f))) (log (tanh (* (/ PI 4) f)))) (log (tanh (* (/ PI 4) f)))) (* (* (/ PI 4) (/ PI 4)) (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (* (* (log (tanh (* (/ PI 4) f))) (log (tanh (* (/ PI 4) f)))) (log (tanh (* (/ PI 4) f)))) (* (* (/ PI 4) (/ PI 4)) (/ PI 4)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (227 enodes)
* [exit]simplify:  Simplified to (pow (/ (log (tanh (* f (/ PI 4)))) (/ PI 4)) 3)
* [misc]simplify:  Simplified (2 1) to (λ (f) (cbrt (pow (/ (log (tanh (* f (/ PI 4)))) (/ PI 4)) 3)))
* * * * [misc]progress:  [ 6 / 90 ] simplifiying candidate #<alt (λ (f) (* (* (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))) (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))>
* * * * [misc]progress:  [ 7 / 90 ] simplifiying candidate #<alt (λ (f) (cbrt (* (* (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)) (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))>
* * * * [misc]progress:  [ 8 / 90 ] simplifiying candidate #<alt (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))>
* * * * [misc]progress:  [ 9 / 90 ] simplifiying candidate #<alt (λ (f) (/ (- (log (tanh (* (/ PI 4) f)))) (- (/ PI 4))))>
* * * * [misc]progress:  [ 10 / 90 ] simplifiying candidate #<alt (λ (f) (- (/ (log (- (exp (* (/ PI 4) f)) (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))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (200 enodes)
* [exit]simplify:  Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (/ PI 4))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (/ (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (/ PI 4)) (/ (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ PI 4))))
* * * * [misc]progress:  [ 11 / 90 ] simplifiying candidate #<alt (λ (f) (- (/ (log (- (exp (* 2 (* (/ PI 4) f))) 1)) (/ PI 4)) (/ (log (+ (exp (* 2 (* (/ PI 4) f))) 1)) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (log (- (exp (* 2 (* (/ PI 4) f))) 1)) (/ PI 4))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (212 enodes)
* [exit]simplify:  Simplified to (/ (log (- (exp (* (* 2 f) (/ PI 4))) 1)) (/ PI 4))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (/ (log (- (exp (* (* 2 f) (/ PI 4))) 1)) (/ PI 4)) (/ (log (+ (exp (* 2 (* (/ PI 4) f))) 1)) (/ PI 4))))
* * * * [misc]progress:  [ 12 / 90 ] simplifiying candidate #<alt (λ (f) (- (/ (log (- 1 (exp (* -2 (* (/ PI 4) f))))) (/ PI 4)) (/ (log (+ 1 (exp (* -2 (* (/ PI 4) f))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (log (- 1 (exp (* -2 (* (/ PI 4) f))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (211 enodes)
* [exit]simplify:  Simplified to (/ (log (- 1 (exp (* (* -2 f) (/ PI 4))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (/ (log (- 1 (exp (* (* -2 f) (/ PI 4))))) (/ PI 4)) (/ (log (+ 1 (exp (* -2 (* (/ PI 4) f))))) (/ PI 4))))
* * * * [misc]progress:  [ 13 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (166 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))))
* * * * [misc]progress:  [ 14 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (sqrt (/ PI 4))) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (168 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4)))))
* * * * [misc]progress:  [ 15 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ 1 1) (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (154 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))
* * * * [misc]progress:  [ 16 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ 1 PI) (/ (log (tanh (* (/ PI 4) f))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ 1 PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ 1 PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (log (tanh (* (/ PI 4) f))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (189 enodes)
* [exit]simplify:  Simplified to (* 4 (log (tanh (/ (* f PI) 4))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 PI) (* 4 (log (tanh (/ (* f PI) 4))))))
* * * * [misc]progress:  [ 17 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (216 enodes)
* [exit]simplify:  Simplified to (/ (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3)) (pow (/ PI 4) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3)) (pow (/ PI 4) (+ 1/3 1/3))) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (180 enodes)
* [exit]simplify:  Simplified to (cbrt (* (log (tanh (/ (* f PI) 4))) (/ 4 PI)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3)) (pow (/ PI 4) (+ 1/3 1/3))) (cbrt (* (log (tanh (/ (* f PI) 4))) (/ 4 PI)))))
* * * * [misc]progress:  [ 18 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (199 enodes)
* [exit]simplify:  Simplified to (/ (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (sqrt (/ PI 4))) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (log (tanh (/ (* f PI) 4)))) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (sqrt (/ PI 4))) (/ (cbrt (log (tanh (/ (* f PI) 4)))) (sqrt (/ PI 4)))))
* * * * [misc]progress:  [ 19 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) 1) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (198 enodes)
* [exit]simplify:  Simplified to (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (167 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (pow (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ PI 4))))
* * * * [misc]progress:  [ 20 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) PI) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) PI)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (182 enodes)
* [exit]simplify:  Simplified to (/ (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3)) PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3)) PI) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (cbrt (log (tanh (* (/ PI 4) f)))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (202 enodes)
* [exit]simplify:  Simplified to (* (cbrt (log (tanh (* (/ PI 4) f)))) 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3)) PI) (* (cbrt (log (tanh (* (/ PI 4) f)))) 4)))
* * * * [misc]progress:  [ 21 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (sqrt (log (tanh (* (/ PI 4) f)))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (199 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (log (tanh (* (/ PI 4) f))) (* (/ PI 4) (cbrt (/ PI 4)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (* (/ PI 4) (cbrt (/ PI 4))))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (log (tanh (/ (* f PI) 4)))) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (* (/ PI 4) (cbrt (/ PI 4))))) (/ (sqrt (log (tanh (/ (* f PI) 4)))) (cbrt (/ PI 4)))))
* * * * [misc]progress:  [ 22 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) (sqrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))
* * * * [misc]progress:  [ 23 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (sqrt (log (tanh (* (/ PI 4) f)))) 1) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (182 enodes)
* [exit]simplify:  Simplified to (sqrt (log (tanh (/ (* f PI) 4))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (log (tanh (/ (* f PI) 4)))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (169 enodes)
* [exit]simplify:  Simplified to (* (sqrt (log (tanh (/ (* f PI) 4)))) (/ 4 PI))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (log (tanh (/ (* f PI) 4)))) (* (sqrt (log (tanh (/ (* f PI) 4)))) (/ 4 PI))))
* * * * [misc]progress:  [ 24 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (sqrt (log (tanh (* (/ PI 4) f)))) PI) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) PI)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (log (tanh (/ PI (/ 4 f))))) PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (sqrt (log (tanh (/ PI (/ 4 f))))) PI) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (204 enodes)
* [exit]simplify:  Simplified to (* (sqrt (log (tanh (/ f (/ 4 PI))))) 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (sqrt (log (tanh (* (/ PI 4) f)))) PI) (* (sqrt (log (tanh (/ f (/ 4 PI))))) 4)))
* * * * [misc]progress:  [ 25 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (166 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4)))))
* * * * [misc]progress:  [ 26 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (sqrt (/ PI 4))) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (168 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4)))))
* * * * [misc]progress:  [ 27 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ 1 1) (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (154 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))
* * * * [misc]progress:  [ 28 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ 1 PI) (/ (log (tanh (* (/ PI 4) f))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ 1 PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ 1 PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (log (tanh (* (/ PI 4) f))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (189 enodes)
* [exit]simplify:  Simplified to (* 4 (log (tanh (/ (* f PI) 4))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 PI) (* 4 (log (tanh (/ (* f PI) 4))))))
* * * * [misc]progress:  [ 29 / 90 ] simplifiying candidate #<alt (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))>
* * * * [misc]progress:  [ 30 / 90 ] simplifiying candidate #<alt (λ (f) (* (log (tanh (* (/ PI 4) f))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 31 / 90 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))>
* * * * [misc]progress:  [ 32 / 90 ] simplifiying candidate #<alt (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (cbrt (/ PI 4))))>
* [enter]simplify:  Simplifying (cbrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* [exit]simplify:  Simplified to (cbrt (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (cbrt (/ PI 4))))
* * * * [misc]progress:  [ 33 / 90 ] simplifiying candidate #<alt (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) (sqrt (/ PI 4))))>
* [enter]simplify:  Simplifying (sqrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) (sqrt (/ PI 4))))
* * * * [misc]progress:  [ 34 / 90 ] simplifiying candidate #<alt (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) 1) (/ PI 4)))>
* [enter]simplify:  Simplifying (/ PI 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ PI 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) 1) (/ PI 4)))
* * * * [misc]progress:  [ 35 / 90 ] simplifiying candidate #<alt (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) PI) (/ 1 4)))>
* [enter]simplify:  Simplifying (/ 1 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ 1 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ (log (tanh (* (/ PI 4) f))) PI) (/ 1 4)))
* * * * [misc]progress:  [ 36 / 90 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))>
* * * * [misc]progress:  [ 37 / 90 ] simplifiying candidate #<alt (λ (f) (/ (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (159 enodes)
* [exit]simplify:  Simplified to (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3)) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 38 / 90 ] simplifiying candidate #<alt (λ (f) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (sqrt (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* [exit]simplify:  Simplified to (sqrt (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 39 / 90 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))>
* * * * [misc]progress:  [ 40 / 90 ] simplifiying candidate #<alt (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) PI) 4))>
* * * * [misc]progress:  [ 41 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (pow (* (/ PI 4) f) 1))) (/ PI 4)))>
* * * * [misc]progress:  [ 42 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (exp (log (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 43 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (log (exp (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 44 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) (cbrt (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 45 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (cbrt (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 46 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* (sqrt (* (/ PI 4) f)) (sqrt (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 47 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* 1 (* (/ PI 4) f)))) (/ PI 4)))>
* * * * [misc]progress:  [ 48 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (/ PI 4)) f)))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* [exit]simplify:  Simplified to (pow (/ PI 4) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (/ (log (tanh (* (pow (/ PI 4) (+ 1/3 1/3)) (* (cbrt (/ PI 4)) f)))) (/ PI 4)))
* * * * [misc]progress:  [ 49 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))) (/ PI 4)))>
* [enter]simplify:  Simplifying (sqrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (/ (log (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))) (/ PI 4)))
* * * * [misc]progress:  [ 50 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* 1 (* (/ PI 4) f)))) (/ PI 4)))>
* * * * [misc]progress:  [ 51 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* PI (* (/ 1 4) f)))) (/ PI 4)))>
* * * * [misc]progress:  [ 52 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (/ (* PI f) 4))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* PI f)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* f PI)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (/ (log (tanh (/ (* f PI) 4))) (/ PI 4)))
* * * * [misc]progress:  [ 53 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* f (/ PI 4)))) (/ PI 4)))>
* * * * [misc]progress:  [ 54 / 90 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (log (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (160 enodes)
* [exit]simplify:  Simplified to (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 55 / 90 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (sqrt (tanh (* (/ PI 4) f)))) (log (sqrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (log (sqrt (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* [exit]simplify:  Simplified to (log (sqrt (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (+ (log (sqrt (tanh (* (/ PI 4) f)))) (log (sqrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 56 / 90 ] simplifiying candidate #<alt (λ (f) (/ (+ (log 1) (log (tanh (* (/ PI 4) f)))) (/ PI 4)))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (+ (log 1) (log (tanh (* (/ PI 4) f)))) (/ PI 4)))
* * * * [misc]progress:  [ 57 / 90 ] simplifiying candidate #<alt (λ (f) (/ (- (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (177 enodes)
* [exit]simplify:  Simplified to (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (- (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ PI 4)))
* * * * [misc]progress:  [ 58 / 90 ] simplifiying candidate #<alt (λ (f) (/ (- (log (- (exp (* 2 (* (/ PI 4) f))) 1)) (log (+ (exp (* 2 (* (/ PI 4) f))) 1))) (/ PI 4)))>
* [enter]simplify:  Simplifying (log (- (exp (* 2 (* (/ PI 4) f))) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (188 enodes)
* [exit]simplify:  Simplified to (log (- (exp (* (* 2 f) (/ PI 4))) 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (- (log (- (exp (* (* 2 f) (/ PI 4))) 1)) (log (+ (exp (* 2 (* (/ PI 4) f))) 1))) (/ PI 4)))
* * * * [misc]progress:  [ 59 / 90 ] simplifiying candidate #<alt (λ (f) (/ (- (log (- 1 (exp (* -2 (* (/ PI 4) f))))) (log (+ 1 (exp (* -2 (* (/ PI 4) f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (log (- 1 (exp (* -2 (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (187 enodes)
* [exit]simplify:  Simplified to (log (- 1 (exp (* (* -2 f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (- (log (- 1 (exp (* (* -2 f) (/ PI 4))))) (log (+ 1 (exp (* -2 (* (/ PI 4) f)))))) (/ PI 4)))
* * * * [misc]progress:  [ 60 / 90 ] simplifiying candidate #<alt (λ (f) (/ (* 1 (log (tanh (* (/ PI 4) f)))) (/ PI 4)))>
* * * * [misc]progress:  [ 61 / 90 ] simplifiying candidate #<alt (λ (f) (/ (pow (log (tanh (* (/ PI 4) f))) 1) (/ PI 4)))>
* * * * [misc]progress:  [ 62 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))>
* [enter]simplify:  Simplifying (tanh (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* [exit]simplify:  Simplified to (tanh (* (/ PI 4) f))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))
* * * * [misc]progress:  [ 63 / 90 ] simplifiying candidate #<alt (λ (f) (/ (exp (log (log (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 64 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (exp (log (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 65 / 90 ] simplifiying candidate #<alt (λ (f) (/ (* (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (cbrt (log (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 66 / 90 ] simplifiying candidate #<alt (λ (f) (/ (cbrt (* (* (log (tanh (* (/ PI 4) f))) (log (tanh (* (/ PI 4) f)))) (log (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 67 / 90 ] simplifiying candidate #<alt (λ (f) (/ (* (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (log (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 68 / 90 ] simplifiying candidate #<alt (λ (f) (/ (* 1 (log (tanh (* (/ PI 4) f)))) (/ PI 4)))>
* * * * [misc]progress:  [ 69 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ PI 4)))>
* * * * [misc]progress:  [ 70 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (/ (- (exp (* 2 (* (/ PI 4) f))) 1) (+ (exp (* 2 (* (/ PI 4) f))) 1))) (/ PI 4)))>
* * * * [misc]progress:  [ 71 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (/ (- 1 (exp (* -2 (* (/ PI 4) f)))) (+ 1 (exp (* -2 (* (/ PI 4) f)))))) (/ PI 4)))>
* * * * [misc]progress:  [ 72 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (pow (tanh (* (/ PI 4) f)) 1)) (/ PI 4)))>
* * * * [misc]progress:  [ 73 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (exp (log (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 74 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (log (exp (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 75 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (* (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))) (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 76 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (cbrt (* (* (tanh (* (/ PI 4) f)) (tanh (* (/ PI 4) f))) (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 77 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (* (sqrt (tanh (* (/ PI 4) f))) (sqrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 78 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (* 1 (tanh (* (/ PI 4) f)))) (/ PI 4)))>
* * * * [misc]progress:  [ 79 / 90 ] simplifiying candidate #<alt (λ (f) (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (442 enodes)
* [exit]simplify:  Simplified to (+ (+ (* (* (* 7/5760 PI) (* PI PI)) (pow f 4)) (* 4 (/ (log f) PI))) (+ (* (log (* 1/4 PI)) (* (/ 1 PI) 4)) (* (* 1/12 PI) (- (* f f)))))
* [misc]simplify:  Simplified (2) to (λ (f) (+ (+ (* (* (* 7/5760 PI) (* PI PI)) (pow f 4)) (* 4 (/ (log f) PI))) (+ (* (log (* 1/4 PI)) (* (/ 1 PI) 4)) (* (* 1/12 PI) (- (* f f))))))
* * * * [misc]progress:  [ 80 / 90 ] simplifiying candidate #<alt (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 (15 enodes)
* * [misc]simplify:  iters left: 5 (275 enodes)
* [exit]simplify:  Simplified to (* (log (tanh (* 1/4 (* PI f)))) (* (/ 1 PI) 4))
* [misc]simplify:  Simplified (2) to (λ (f) (* (log (tanh (* 1/4 (* PI f)))) (* (/ 1 PI) 4)))
* * * * [misc]progress:  [ 81 / 90 ] simplifiying candidate #<alt (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 (285 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))))) (* (/ 1 PI) 4))
* [misc]simplify:  Simplified (2) to (λ (f) (* (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))))) (* (/ 1 PI) 4)))
* * * * [misc]progress:  [ 82 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* 1/4 (* PI f)))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (/ (log (tanh (* f (* PI 1/4)))) (/ PI 4)))
* * * * [misc]progress:  [ 83 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* 1/4 (* PI f)))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (/ (log (tanh (* f (* PI 1/4)))) (/ PI 4)))
* * * * [misc]progress:  [ 84 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* 1/4 (* PI f)))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (/ (log (tanh (* f (* PI 1/4)))) (/ PI 4)))
* * * * [misc]progress:  [ 85 / 90 ] simplifiying candidate #<alt (λ (f) (/ (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2)))) (/ PI 4)))>
* [enter]simplify:  Simplifying (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (370 enodes)
* [exit]simplify:  Simplified to (- (+ (log (* f (* 1/4 PI))) (* (pow (* PI f) 4) 7/23040)) (* 1/48 (* (* PI f) (* PI f))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (- (+ (log (* f (* 1/4 PI))) (* (pow (* PI f) 4) 7/23040)) (* 1/48 (* (* PI f) (* PI f)))) (/ PI 4)))
* * * * [misc]progress:  [ 86 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (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 (12 enodes)
* * [misc]simplify:  iters left: 5 (220 enodes)
* [exit]simplify:  Simplified to (log (tanh (* (* f PI) 1/4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (log (tanh (* (* f PI) 1/4))) (/ PI 4)))
* * * * [misc]progress:  [ 87 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (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 (13 enodes)
* * [misc]simplify:  iters left: 5 (230 enodes)
* [exit]simplify:  Simplified to (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ PI 4)))
* * * * [misc]progress:  [ 88 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (- (+ (* 1/7680 (* (pow PI 5) (pow f 5))) (* 1/4 (* PI f))) (* 1/192 (* (pow PI 3) (pow f 3))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (- (+ (* 1/7680 (* (pow PI 5) (pow f 5))) (* 1/4 (* PI f))) (* 1/192 (* (pow PI 3) (pow f 3))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (333 enodes)
* [exit]simplify:  Simplified to (+ (- (* (* PI f) 1/4) (* (* (* PI f) (* PI f)) (* (* PI f) 1/192))) (* 1/7680 (pow (* PI f) 5)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (log (+ (- (* (* PI f) 1/4) (* (* (* PI f) (* PI f)) (* (* PI f) 1/192))) (* 1/7680 (pow (* PI f) 5)))) (/ PI 4)))
* * * * [misc]progress:  [ 89 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (/ (- (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 (11 enodes)
* * [misc]simplify:  iters left: 5 (207 enodes)
* [exit]simplify:  Simplified to (tanh (* f (* PI 1/4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (log (tanh (* f (* PI 1/4)))) (/ PI 4)))
* * * * [misc]progress:  [ 90 / 90 ] simplifiying candidate #<alt (λ (f) (/ (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (/ (- (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 (12 enodes)
* * [misc]simplify:  iters left: 5 (217 enodes)
* [exit]simplify:  Simplified to (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))
* [misc]simplify:  Simplified (2 1 1) to (λ (f) (/ (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ PI 4)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2 1 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 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)) (* 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/72 (pow PI 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/34560 (pow PI 4))
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/72 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/34560 (pow PI 4)) 1) 1)))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (+ (* (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) (pow f 4)) (+ (* (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) (pow f 2)) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 31/103680 (* (pow PI 4) (* (pow f 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/72 (* (pow PI 2) (* (pow f 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))))
* [misc]approximate:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 2/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3)
* [misc]approximate:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 2/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 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)) (* 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/144 (pow PI 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))
* [misc]backup-simplify:  Simplify (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))
* [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)) (* (/ (pow 0 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/69120 (pow PI 4))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/144 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/69120 (pow PI 4)) 1) 1)))) into (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))
* [misc]backup-simplify:  Simplify (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) into (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) (pow f 4)) (+ (* (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) (pow f 2)) (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 4) (pow f 4)))) (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 2) (pow f 2)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 1/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 1/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (log (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (log (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [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 (+ (* 2/3 (+ (log f) (log (* 1/4 PI)))) (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (/ (+ (log f) (log (* 1/4 PI))) (* 1/4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [misc]taylor:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (log (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (log (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [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 (+ (* 2/3 (+ (log f) (log (* 1/4 PI)))) (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (/ (+ (log f) (log (* 1/4 PI))) (* 1/4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 1) 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/72 (pow PI 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 2) into (* -1/72 (pow PI 2))
* [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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/144 (pow PI 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 2) into (* -1/144 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* -1/72 (pow PI 2)) (* -1/144 (pow PI 2))) into (- (* 1/48 (pow PI 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/48 (pow PI 2))) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 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)) (* 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 6) 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/34560 (pow PI 4))
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/72 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/34560 (pow PI 4)) 1) 1)))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 2)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 24) into (* 7/34560 (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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/69120 (pow PI 4))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/144 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/69120 (pow PI 4)) 1) 1)))) into (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 2)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 24) into (* 7/69120 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 7/34560 (pow PI 4)) (* 7/69120 (pow PI 4))) 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 (- (/ (* 7/23040 (pow PI 4)) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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)) (pow f 2)) (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)))) into (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ PI 4)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))
* [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 (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))) into (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)))
* [misc]backup-simplify:  Simplify (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) (* 1/4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI))
* [misc]taylor:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))
* [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 (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))) into (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)))
* [misc]backup-simplify:  Simplify (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) (* 1/4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) (/ 0 (* 1/4 PI))))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ 0 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)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 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 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 2/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3))) PI))
* [misc]approximate:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ PI 4)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))
* [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 (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) into (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)))
* [misc]backup-simplify:  Simplify (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) (* 1/4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI))
* [misc]taylor:  Taking taylor expansion of (/ (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ PI 4)) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))
* [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 (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) into (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)))
* [misc]backup-simplify:  Simplify (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) (* 1/4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) (/ 0 (* 1/4 PI))))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ 0 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)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 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 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 1/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) PI))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) f) in (f) around 0
* [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]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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) 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 (* (/ PI 4) (/ 1 f)) in (f) around 0
* [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]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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 1)) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 1))) 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 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 0) (* 0 1)))) 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 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 0) (* 0 1))))) 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 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 0) (* 0 1)))))) 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 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) 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 (* (/ PI 4) (/ 1 (- f))) in (f) around 0
* [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]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 -1)) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 -1))) 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 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 0) (* 0 -1)))) 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 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 0) (* 0 -1))))) 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 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 0) (* 0 -1)))))) 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 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) 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:  simplifying candidates
* * * * [misc]progress:  [ 1 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (exp (* (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (188 enodes)
* [exit]simplify:  Simplified to (* (+ 1/3 1/3) (log (tanh (/ (* f PI) 4))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (exp (* (+ 1/3 1/3) (log (tanh (/ (* f PI) 4)))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 2 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (exp (* (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 3 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (* 1 (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (tanh (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* [exit]simplify:  Simplified to (tanh (* (/ PI 4) f))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (* 1 (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 4 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) (* (cbrt (+ 1/3 1/3)) (cbrt (+ 1/3 1/3)))) (cbrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (cbrt (+ 1/3 1/3))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) (* (cbrt (+ 1/3 1/3)) (cbrt (+ 1/3 1/3)))) (cbrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 5 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) (sqrt (+ 1/3 1/3))) (sqrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (sqrt (+ 1/3 1/3))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) (sqrt (+ 1/3 1/3))) (sqrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 6 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) 1) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (+ 1/3 1/3)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (+ 1/3 1/3)
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) 1) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 7 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (* (pow (tanh (* (/ PI 4) f)) 1/3) (pow (tanh (* (/ PI 4) f)) 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (pow (tanh (* (/ PI 4) f)) 1/3)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (147 enodes)
* [exit]simplify:  Simplified to (cbrt (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (f) (/ (+ (log (* (pow (tanh (* (/ PI 4) f)) 1/3) (cbrt (tanh (* (/ PI 4) f))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 8 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (* (pow (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))) (+ 1/3 1/3)) (pow (cbrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (pow (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))) (+ 1/3 1/3))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (205 enodes)
* [exit]simplify:  Simplified to (* (pow (tanh (/ (* f PI) 4)) (* 1/3 (/ 0 0))) (pow (tanh (/ (* f PI) 4)) (* 1/3 (/ 0 0))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (* (* (pow (tanh (/ (* f PI) 4)) (* 1/3 (/ 0 0))) (pow (tanh (/ (* f PI) 4)) (* 1/3 (/ 0 0)))) (pow (cbrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 9 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (* (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (190 enodes)
* [exit]simplify:  Simplified to (cbrt (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (* (cbrt (tanh (* (/ PI 4) f))) (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 10 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (* (pow 1 (+ 1/3 1/3)) (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (pow 1 (+ 1/3 1/3))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (463 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (/ (+ (log (* 1 (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 11 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) 1)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 12 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (exp (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 13 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (log (exp (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 14 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (* (* (cbrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (cbrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (cbrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 15 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (cbrt (* (* (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 16 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (* (sqrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (sqrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 17 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (* 1 (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* * * * [misc]progress:  [ 18 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) 1/3))) (/ PI 4)))>
* * * * [misc]progress:  [ 19 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (cbrt (tanh (* (/ PI 4) f))) 1))) (/ PI 4)))>
* * * * [misc]progress:  [ 20 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (exp (log (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 21 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (log (exp (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 22 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f))))) (cbrt (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (159 enodes)
* [exit]simplify:  Simplified to (cbrt (pow (tanh (/ f (/ 4 PI))) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt (pow (tanh (/ f (/ 4 PI))) (+ 1/3 1/3))) (cbrt (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))
* * * * [misc]progress:  [ 23 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt (sqrt (tanh (* (/ PI 4) f)))) (cbrt (sqrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (cbrt (sqrt (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* [exit]simplify:  Simplified to (pow (tanh (* (/ PI 4) f)) (* 1/2 1/3))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (pow (tanh (* (/ PI 4) f)) (* 1/2 1/3)) (cbrt (sqrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))
* * * * [misc]progress:  [ 24 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt 1) (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* 1 (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4)))
* * * * [misc]progress:  [ 25 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 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 (178 enodes)
* [exit]simplify:  Simplified to (cbrt (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ PI 4)))
* * * * [misc]progress:  [ 26 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (exp (* 2 (* (/ PI 4) f))) 1)) (cbrt (+ (exp (* 2 (* (/ PI 4) f))) 1))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (cbrt (- (exp (* 2 (* (/ PI 4) f))) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (189 enodes)
* [exit]simplify:  Simplified to (cbrt (- (exp (* (/ PI 4) (* f 2))) 1))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (exp (* (/ PI 4) (* f 2))) 1)) (cbrt (+ (exp (* 2 (* (/ PI 4) f))) 1))))) (/ PI 4)))
* * * * [misc]progress:  [ 27 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- 1 (exp (* -2 (* (/ PI 4) f))))) (cbrt (+ 1 (exp (* -2 (* (/ PI 4) f)))))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (cbrt (- 1 (exp (* -2 (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (188 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (exp (* (/ PI 4) (* f -2)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- 1 (exp (* (/ PI 4) (* f -2))))) (cbrt (+ 1 (exp (* -2 (* (/ PI 4) f)))))))) (/ PI 4)))
* * * * [misc]progress:  [ 28 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (* (cbrt (cbrt (tanh (* (/ PI 4) f)))) (cbrt (cbrt (tanh (* (/ PI 4) f))))) (cbrt (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 29 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (* (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))) (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 30 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (sqrt (cbrt (tanh (* (/ PI 4) f)))) (sqrt (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 31 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* 1 (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4)))>
* * * * [misc]progress:  [ 32 / 108 ] simplifiying candidate #<alt (λ (f) (pow (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) 1))>
* * * * [misc]progress:  [ 33 / 108 ] simplifiying candidate #<alt (λ (f) (exp (- (log (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (log (/ PI 4)))))>
* [enter]simplify:  Simplifying (- (log (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (log (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (291 enodes)
* [exit]simplify:  Simplified to (log (/ (log (tanh (/ (* f PI) 4))) (/ PI 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (exp (log (/ (log (tanh (/ (* f PI) 4))) (/ PI 4)))))
* * * * [misc]progress:  [ 34 / 108 ] simplifiying candidate #<alt (λ (f) (exp (log (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))))>
* * * * [misc]progress:  [ 35 / 108 ] simplifiying candidate #<alt (λ (f) (log (exp (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))))>
* * * * [misc]progress:  [ 36 / 108 ] simplifiying candidate #<alt (λ (f) (cbrt (/ (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (* (/ PI 4) (/ PI 4)) (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (* (/ PI 4) (/ PI 4)) (/ PI 4)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (345 enodes)
* [exit]simplify:  Simplified to (pow (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4)) 3)
* [misc]simplify:  Simplified (2 1) to (λ (f) (cbrt (pow (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4)) 3)))
* * * * [misc]progress:  [ 37 / 108 ] simplifiying candidate #<alt (λ (f) (* (* (cbrt (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) (cbrt (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))) (cbrt (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))))>
* * * * [misc]progress:  [ 38 / 108 ] simplifiying candidate #<alt (λ (f) (cbrt (* (* (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))))>
* * * * [misc]progress:  [ 39 / 108 ] simplifiying candidate #<alt (λ (f) (* (sqrt (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))) (sqrt (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))))>
* * * * [misc]progress:  [ 40 / 108 ] simplifiying candidate #<alt (λ (f) (/ (- (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (- (/ PI 4))))>
* * * * [misc]progress:  [ 41 / 108 ] simplifiying candidate #<alt (λ (f) (- (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ PI 4)) (/ (log (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (337 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ 1/3 1/3) (log (tanh (/ (* f PI) 4)))) (* 1/3 (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (/ (+ (* (+ 1/3 1/3) (log (tanh (/ (* f PI) 4)))) (* 1/3 (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))))) (/ PI 4)) (/ (log (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ PI 4))))
* * * * [misc]progress:  [ 42 / 108 ] simplifiying candidate #<alt (λ (f) (- (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- (exp (* 2 (* (/ PI 4) f))) 1)))) (/ PI 4)) (/ (log (cbrt (+ (exp (* 2 (* (/ PI 4) f))) 1))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- (exp (* 2 (* (/ PI 4) f))) 1)))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (348 enodes)
* [exit]simplify:  Simplified to (* (log (cbrt (* (* (tanh (/ f (/ 4 PI))) (tanh (/ f (/ 4 PI)))) (- (exp (* (/ PI 4) (* f 2))) 1)))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (* (log (cbrt (* (* (tanh (/ f (/ 4 PI))) (tanh (/ f (/ 4 PI)))) (- (exp (* (/ PI 4) (* f 2))) 1)))) (/ 4 PI)) (/ (log (cbrt (+ (exp (* 2 (* (/ PI 4) f))) 1))) (/ PI 4))))
* * * * [misc]progress:  [ 43 / 108 ] simplifiying candidate #<alt (λ (f) (- (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- 1 (exp (* -2 (* (/ PI 4) f))))))) (/ PI 4)) (/ (log (cbrt (+ 1 (exp (* -2 (* (/ PI 4) f)))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (- 1 (exp (* -2 (* (/ PI 4) f))))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (347 enodes)
* [exit]simplify:  Simplified to (/ (log (cbrt (* (* (tanh (* (/ PI 4) f)) (tanh (* (/ PI 4) f))) (- 1 (exp (* (* -2 f) (/ PI 4))))))) (/ PI 4))
* [misc]simplify:  Simplified (2 1) to (λ (f) (- (/ (log (cbrt (* (* (tanh (* (/ PI 4) f)) (tanh (* (/ PI 4) f))) (- 1 (exp (* (* -2 f) (/ PI 4))))))) (/ PI 4)) (/ (log (cbrt (+ 1 (exp (* -2 (* (/ PI 4) f)))))) (/ PI 4))))
* * * * [misc]progress:  [ 44 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (322 enodes)
* [exit]simplify:  Simplified to (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (pow (/ PI 4) (/ 0 0)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (pow (/ PI 4) (/ 0 0))) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (286 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (pow (/ PI 4) (/ 0 0))) (cbrt (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4)))))
* * * * [misc]progress:  [ 45 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (sqrt (/ PI 4))) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (305 enodes)
* [exit]simplify:  Simplified to (/ (pow (log (tanh (/ f (/ 4 PI)))) (/ 0 0)) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (/ f (/ 4 PI)))) (/ 0 0)) (sqrt (/ PI 4))) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (287 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (/ f (/ 4 PI)))) (/ 0 0)) (sqrt (/ PI 4))) (/ (cbrt (log (tanh (* (/ PI 4) f)))) (sqrt (/ PI 4)))))
* * * * [misc]progress:  [ 46 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) 1) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (304 enodes)
* [exit]simplify:  Simplified to (pow (log (tanh (* (/ PI 4) f))) (/ 0 0))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (273 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (log (tanh (/ (* f PI) 4)))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) (/ (cbrt (log (tanh (/ (* f PI) 4)))) (/ PI 4))))
* * * * [misc]progress:  [ 47 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) PI) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) PI)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (288 enodes)
* [exit]simplify:  Simplified to (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) PI) (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (308 enodes)
* [exit]simplify:  Simplified to (* (cbrt (log (tanh (/ f (/ 4 PI))))) 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (pow (log (tanh (* (/ PI 4) f))) (/ 0 0)) PI) (* (cbrt (log (tanh (/ f (/ 4 PI))))) 4)))
* * * * [misc]progress:  [ 48 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (305 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (log (tanh (/ f (/ 4 PI)))) (* (/ PI 4) (cbrt (/ PI 4)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (/ (log (tanh (/ f (/ 4 PI)))) (* (/ PI 4) (cbrt (/ PI 4))))) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (287 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (/ (log (tanh (/ f (/ 4 PI)))) (* (/ PI 4) (cbrt (/ PI 4))))) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (cbrt (/ PI 4)))))
* * * * [misc]progress:  [ 49 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4))) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (291 enodes)
* [exit]simplify:  Simplified to (sqrt (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI))) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (291 enodes)
* [exit]simplify:  Simplified to (sqrt (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI))) (sqrt (* (log (tanh (/ PI (/ 4 f)))) (/ 4 PI)))))
* * * * [misc]progress:  [ 50 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) 1) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (289 enodes)
* [exit]simplify:  Simplified to (sqrt (log (tanh (/ PI (/ 4 f)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (log (tanh (/ PI (/ 4 f))))) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (276 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (log (tanh (/ (* f PI) 4)))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (log (tanh (/ PI (/ 4 f))))) (/ (sqrt (log (tanh (/ (* f PI) 4)))) (/ PI 4))))
* * * * [misc]progress:  [ 51 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) PI) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) PI)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (273 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (log (tanh (/ PI (/ 4 f))))) PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (sqrt (log (tanh (/ PI (/ 4 f))))) PI) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (311 enodes)
* [exit]simplify:  Simplified to (* (sqrt (log (tanh (/ f (/ 4 PI))))) 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (sqrt (log (tanh (/ PI (/ 4 f))))) PI) (* (sqrt (log (tanh (/ f (/ 4 PI))))) 4)))
* * * * [misc]progress:  [ 52 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (272 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (/ (* f PI) 4))) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (/ (* f PI) 4))) (cbrt (/ PI 4)))))
* * * * [misc]progress:  [ 53 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (sqrt (/ PI 4))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (275 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))))
* * * * [misc]progress:  [ 54 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 1) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (f) (* 1 (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (261 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))
* * * * [misc]progress:  [ 55 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ 1 PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ 1 PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (296 enodes)
* [exit]simplify:  Simplified to (* (log (tanh (* (/ PI 4) f))) 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 PI) (* (log (tanh (* (/ PI 4) f))) 4)))
* * * * [misc]progress:  [ 56 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (272 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (/ (* f PI) 4))) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (/ (* f PI) 4))) (cbrt (/ PI 4)))))
* * * * [misc]progress:  [ 57 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (sqrt (/ PI 4))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (275 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))))
* * * * [misc]progress:  [ 58 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 1) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (f) (* 1 (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (261 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))
* * * * [misc]progress:  [ 59 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ 1 PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ 1 PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (296 enodes)
* [exit]simplify:  Simplified to (* (log (tanh (* (/ PI 4) f))) 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 PI) (* (log (tanh (* (/ PI 4) f))) 4)))
* * * * [misc]progress:  [ 60 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (* (pow (/ PI 4) (- 1/3)) (pow (/ PI 4) (- 1/3))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (272 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (/ (* f PI) 4))) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (tanh (/ (* f PI) 4))) (cbrt (/ PI 4)))))
* * * * [misc]progress:  [ 61 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (sqrt (/ PI 4))) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (/ 4 PI)) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (275 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (sqrt (/ 4 PI)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))))
* * * * [misc]progress:  [ 62 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 1) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (f) (* 1 (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (261 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))))
* * * * [misc]progress:  [ 63 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ 1 PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ 1 PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ 1 PI) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 4))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (296 enodes)
* [exit]simplify:  Simplified to (* (log (tanh (* (/ PI 4) f))) 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 PI) (* (log (tanh (* (/ PI 4) f))) 4)))
* * * * [misc]progress:  [ 64 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (184 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (/ (* f PI) 4))) (pow (/ PI 4) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (log (tanh (/ (* f PI) 4))) (pow (/ PI 4) (+ 1/3 1/3))) (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (151 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (log (tanh (/ (* f PI) 4))) (pow (/ PI 4) (+ 1/3 1/3))) (/ (+ (+ 1/3 1/3) 1/3) (cbrt (/ PI 4)))))
* * * * [misc]progress:  [ 65 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4)))))>
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (168 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (log (tanh (/ f (/ 4 PI)))) (sqrt (/ PI 4))) (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4)))))
* [enter]simplify:  Simplifying (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (154 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))) (/ (+ (+ 1/3 1/3) 1/3) (sqrt (/ PI 4)))))
* * * * [misc]progress:  [ 66 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) 1) (/ (+ (+ 1/3 1/3) 1/3) (/ PI 4))))>
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (167 enodes)
* [exit]simplify:  Simplified to (log (tanh (/ (* f PI) 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (log (tanh (/ (* f PI) 4))) (/ (+ (+ 1/3 1/3) 1/3) (/ PI 4))))
* [enter]simplify:  Simplifying (/ (+ (+ 1/3 1/3) 1/3) (/ PI 4))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (140 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 1/3 1/3) 1/3) (/ 4 PI))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (log (tanh (/ (* f PI) 4))) (* (+ (+ 1/3 1/3) 1/3) (/ 4 PI))))
* * * * [misc]progress:  [ 67 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) PI) (/ (+ (+ 1/3 1/3) 1/3) (/ 1 4))))>
* [enter]simplify:  Simplifying (/ (log (tanh (* (/ PI 4) f))) PI)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (151 enodes)
* [exit]simplify:  Simplified to (/ (log (tanh (* (/ PI 4) f))) PI)
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) PI) (/ (+ (+ 1/3 1/3) 1/3) (/ 1 4))))
* [enter]simplify:  Simplifying (/ (+ (+ 1/3 1/3) 1/3) (/ 1 4))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (140 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 1/3 1/3) 1/3) 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ (log (tanh (* (/ PI 4) f))) PI) (* (+ (+ 1/3 1/3) 1/3) 4)))
* * * * [misc]progress:  [ 68 / 108 ] simplifiying candidate #<alt (λ (f) (* 1 (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))>
* * * * [misc]progress:  [ 69 / 108 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 70 / 108 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 71 / 108 ] simplifiying candidate #<alt (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (cbrt (/ PI 4))))>
* [enter]simplify:  Simplifying (cbrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* [exit]simplify:  Simplified to (cbrt (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (cbrt (/ PI 4))))
* * * * [misc]progress:  [ 72 / 108 ] simplifiying candidate #<alt (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))) (sqrt (/ PI 4))))>
* [enter]simplify:  Simplifying (sqrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ PI 4))) (sqrt (/ PI 4))))
* * * * [misc]progress:  [ 73 / 108 ] simplifiying candidate #<alt (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ PI 4)))>
* [enter]simplify:  Simplifying (/ PI 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ PI 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ PI 4)))
* * * * [misc]progress:  [ 74 / 108 ] simplifiying candidate #<alt (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) PI) (/ 1 4)))>
* [enter]simplify:  Simplifying (/ 1 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ 1 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) PI) (/ 1 4)))
* * * * [misc]progress:  [ 75 / 108 ] simplifiying candidate #<alt (λ (f) (/ (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (/ (/ PI 4) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (265 enodes)
* [exit]simplify:  Simplified to (pow (log (tanh (/ (* f PI) 4))) (/ 0 0))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (pow (log (tanh (/ (* f PI) 4))) (/ 0 0)) (/ (/ PI 4) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))))
* * * * [misc]progress:  [ 76 / 108 ] simplifiying candidate #<alt (λ (f) (/ (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ (/ PI 4) (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (252 enodes)
* [exit]simplify:  Simplified to (sqrt (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (sqrt (log (tanh (* (/ PI 4) f)))) (/ (/ PI 4) (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))))
* * * * [misc]progress:  [ 77 / 108 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 78 / 108 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 79 / 108 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 80 / 108 ] simplifiying candidate #<alt (λ (f) (/ (log (tanh (* (/ PI 4) f))) (/ (/ PI 4) (+ (+ 1/3 1/3) 1/3))))>
* [enter]simplify:  Simplifying (log (tanh (* (/ PI 4) f)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* [exit]simplify:  Simplified to (log (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (log (tanh (* (/ PI 4) f))) (/ (/ PI 4) (+ (+ 1/3 1/3) 1/3))))
* * * * [misc]progress:  [ 81 / 108 ] simplifiying candidate #<alt (λ (f) (* (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) PI) 4))>
* * * * [misc]progress:  [ 82 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (pow (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) 3) (pow (log (cbrt (tanh (* (/ PI 4) f)))) 3)) (* (/ PI 4) (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))))>
* [enter]simplify:  Simplifying (+ (pow (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) 3) (pow (log (cbrt (tanh (* (/ PI 4) f)))) 3))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (289 enodes)
* [exit]simplify:  Simplified to (+ (pow (* (/ 0 0) (log (tanh (/ PI (/ 4 f))))) 3) (pow (* 1/3 (log (tanh (/ PI (/ 4 f))))) 3))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (+ (pow (* (/ 0 0) (log (tanh (/ PI (/ 4 f))))) 3) (pow (* 1/3 (log (tanh (/ PI (/ 4 f))))) 3)) (* (/ PI 4) (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))))
* * * * [misc]progress:  [ 83 / 108 ] simplifiying candidate #<alt (λ (f) (/ (- (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (/ PI 4) (- (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (- (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (270 enodes)
* [exit]simplify:  Simplified to (* (- (* (/ 0 0) (log (tanh (/ f (/ 4 PI))))) (* 1/3 (log (tanh (/ f (/ 4 PI)))))) (log (tanh (/ f (/ 4 PI)))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (* (- (* (/ 0 0) (log (tanh (/ f (/ 4 PI))))) (* 1/3 (log (tanh (/ f (/ 4 PI)))))) (log (tanh (/ f (/ 4 PI))))) (* (/ PI 4) (- (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))
* * * * [misc]progress:  [ 84 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (pow (* (/ PI 4) f) 1))))) (/ PI 4)))>
* * * * [misc]progress:  [ 85 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (exp (log (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 86 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (log (exp (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 87 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) (cbrt (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 88 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (cbrt (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 89 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (sqrt (* (/ PI 4) f)) (sqrt (* (/ PI 4) f))))))) (/ PI 4)))>
* * * * [misc]progress:  [ 90 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1 (* (/ PI 4) f)))))) (/ PI 4)))>
* * * * [misc]progress:  [ 91 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (/ PI 4)) f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* [exit]simplify:  Simplified to (pow (/ PI 4) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1 2 1 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (pow (/ PI 4) (+ 1/3 1/3)) (* (cbrt (/ PI 4)) f)))))) (/ PI 4)))
* * * * [misc]progress:  [ 92 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (sqrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 1 2 1 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))))) (/ PI 4)))
* * * * [misc]progress:  [ 93 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1 (* (/ PI 4) f)))))) (/ PI 4)))>
* * * * [misc]progress:  [ 94 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* PI (* (/ 1 4) f)))))) (/ PI 4)))>
* * * * [misc]progress:  [ 95 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (/ (* PI f) 4))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* PI f)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* f PI)
* [misc]simplify:  Simplified (2 1 2 1 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (/ (* f PI) 4))))) (/ PI 4)))
* * * * [misc]progress:  [ 96 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (/ PI 4)))))) (/ PI 4)))>
* * * * [misc]progress:  [ 97 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (- (+ (* 31/103680 (* (pow PI 4) (* (pow f 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/72 (* (pow PI 2) (* (pow f 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (- (+ (* 31/103680 (* (pow PI 4) (* (pow f 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/72 (* (pow PI 2) (* (pow f 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (454 enodes)
* [exit]simplify:  Simplified to (- (+ (pow (* (* f 1/4) PI) 2/3) (* (* 31/103680 (pow (* PI f) 4)) (pow (* (* f 1/4) PI) 2/3))) (* (* 1/72 (* (* PI PI) (* f f))) (pow (* (* f 1/4) PI) 2/3)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (/ (+ (log (- (+ (pow (* (* f 1/4) PI) 2/3) (* (* 31/103680 (pow (* PI f) 4)) (pow (* (* f 1/4) PI) 2/3))) (* (* 1/72 (* (* PI PI) (* f f))) (pow (* (* f 1/4) PI) 2/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 98 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (239 enodes)
* [exit]simplify:  Simplified to (pow (tanh (* PI (* f 1/4))) 2/3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* PI (* f 1/4))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 99 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (249 enodes)
* [exit]simplify:  Simplified to (pow (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) 2/3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (/ (+ (log (pow (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 100 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (- (+ (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 4) (pow f 4)))) (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 2) (pow f 2))))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (- (+ (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 4) (pow f 4)))) (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 2) (pow f 2)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (457 enodes)
* [exit]simplify:  Simplified to (- (+ (pow (* (* f PI) 1/4) 1/3) (* (* 13/103680 (pow (* f PI) 4)) (pow (* (* f PI) 1/4) 1/3))) (* (pow (* (* f PI) 1/4) 1/3) (* (* (* f PI) (* f PI)) 1/144)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (- (+ (pow (* (* f PI) 1/4) 1/3) (* (* 13/103680 (pow (* f PI) 4)) (pow (* (* f PI) 1/4) 1/3))) (* (pow (* (* f PI) 1/4) 1/3) (* (* (* f PI) (* f PI)) 1/144))))) (/ PI 4)))
* * * * [misc]progress:  [ 101 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3))) (/ PI 4)))>
* [enter]simplify:  Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (236 enodes)
* [exit]simplify:  Simplified to (cbrt (tanh (* f (* PI 1/4))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ PI 4)))
* * * * [misc]progress:  [ 102 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) (/ PI 4)))>
* [enter]simplify:  Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (246 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (/ PI 4)))
* * * * [misc]progress:  [ 103 / 108 ] simplifiying candidate #<alt (λ (f) (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (442 enodes)
* [exit]simplify:  Simplified to (+ (+ (* (* (* 7/5760 PI) (* PI PI)) (pow f 4)) (* 4 (/ (log f) PI))) (+ (* (log (* 1/4 PI)) (* (/ 1 PI) 4)) (* (* 1/12 PI) (- (* f f)))))
* [misc]simplify:  Simplified (2) to (λ (f) (+ (+ (* (* (* 7/5760 PI) (* PI PI)) (pow f 4)) (* 4 (/ (log f) PI))) (+ (* (log (* 1/4 PI)) (* (/ 1 PI) 4)) (* (* 1/12 PI) (- (* f f))))))
* * * * [misc]progress:  [ 104 / 108 ] simplifiying candidate #<alt (λ (f) (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3))) PI)))>
* [enter]simplify:  Simplifying (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3))) PI))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (377 enodes)
* [exit]simplify:  Simplified to (* (* (log (tanh (* f (* PI 1/4)))) (+ 2/3 1/3)) (* (/ 1 PI) 4))
* [misc]simplify:  Simplified (2) to (λ (f) (* (* (log (tanh (* f (* PI 1/4)))) (+ 2/3 1/3)) (* (/ 1 PI) 4)))
* * * * [misc]progress:  [ 105 / 108 ] simplifiying candidate #<alt (λ (f) (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) PI)))>
* [enter]simplify:  Simplifying (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) PI))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (387 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))))) (+ 1/3 2/3)) (* (/ 1 PI) 4))
* [misc]simplify:  Simplified (2) to (λ (f) (* (* (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))))) (+ 1/3 2/3)) (* (/ 1 PI) 4)))
* * * * [misc]progress:  [ 106 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1/4 (* PI f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ PI 4)))
* * * * [misc]progress:  [ 107 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1/4 (* PI f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ PI 4)))
* * * * [misc]progress:  [ 108 / 108 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1/4 (* PI f)))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ PI 4)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2 1 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 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)) (* 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/72 (pow PI 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/34560 (pow PI 4))
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/72 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/34560 (pow PI 4)) 1) 1)))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (+ (* (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) (pow f 4)) (+ (* (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) (pow f 2)) (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 31/103680 (* (pow PI 4) (* (pow f 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/72 (* (pow PI 2) (* (pow f 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))))
* [misc]approximate:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 2/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3)
* [misc]approximate:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 2/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 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)) (* 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/144 (pow PI 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))
* [misc]backup-simplify:  Simplify (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))
* [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)) (* (/ (pow 0 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/69120 (pow PI 4))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/144 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/69120 (pow PI 4)) 1) 1)))) into (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))
* [misc]backup-simplify:  Simplify (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) into (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))
* [misc]backup-simplify:  Simplify (+ (* (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4))) (pow f 4)) (+ (* (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2))) (pow f 2)) (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 4) (pow f 4)))) (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 2) (pow f 2)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 1/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 1/3) into (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (log (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (log (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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 (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 2/3 (+ (log f) (log (* 1/4 PI)))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (log (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) into (* 2/3 (+ (log f) (log (* 1/4 PI))))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) f)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) f)))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log f) (log (* 1/4 PI)))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (log (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) into (* 1/3 (+ (log f) (log (* 1/4 PI))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (+ (* 2/3 (+ (log f) (log (* 1/4 PI)))) (* 1/3 (+ (log f) (log (* 1/4 PI))))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (* (+ (log f) (log (* 1/4 PI))) (/ 4 PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 1) 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log f) (log (* 1/4 PI))) 0) (* 0 (/ 4 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 (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/72 (pow PI 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)))) into (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 2) into (* -1/72 (pow PI 2))
* [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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))) into (- (* 1/144 (pow PI 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)))) into (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 2) into (* -1/144 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* -1/72 (pow PI 2)) (* -1/144 (pow PI 2))) into (- (* 1/48 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* (+ (log f) (log (* 1/4 PI))) 0) (+ (* 0 0) (* (- (* 1/48 (pow PI 2))) (/ 4 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 (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 6) 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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log f) (log (* 1/4 PI))) 0) (+ (* 0 0) (+ (* (- (* 1/48 (pow PI 2))) 0) (* 0 (/ 4 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 (- (+ (* (/ 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 (- (/ 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/34560 (pow PI 4))
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/72 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/72 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/34560 (pow PI 4)) 1) 1)))) into (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/72 (* (pow PI 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 2)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 31/103680 (* (pow PI 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) 1)) (pow (exp (* 2/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 24) into (* 7/34560 (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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* -1/48 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log f) (log (* 1/4 PI)))))))) into (* 7/69120 (pow PI 4))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/144 (pow PI 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/144 (pow PI 2))) 2) 2)) (* (/ (pow (* 7/69120 (pow PI 4)) 1) 1)))) into (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 2)))) 2)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (pow PI 4)))) 1)) (pow (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) 1)))) 24) into (* 7/69120 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* 7/34560 (pow PI 4)) (* 7/69120 (pow PI 4))) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (+ (log f) (log (* 1/4 PI))) 0) (+ (* 0 0) (+ (* (- (* 1/48 (pow PI 2))) 0) (+ (* 0 0) (* (* 7/23040 (pow PI 4)) (/ 4 PI)))))) 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)) (pow f 2)) (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)))) into (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2))))
* [misc]approximate:  Taking taylor expansion of (* (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ 1 (/ PI 4))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ 1 (/ PI 4))) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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 (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) (/ 1 (/ PI 4))) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 f))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 f))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 f))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) into (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3))) into (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3)))
* [misc]backup-simplify:  Simplify (* (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) (/ 4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) PI))
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 0) (* 0 (/ 4 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 (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 0) (+ (* 0 0) (* 0 (/ 4 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 (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 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 (- (+ (* (/ 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 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)) (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 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)) (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) 2/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3))) PI))
* [misc]approximate:  Taking taylor expansion of (* (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ 1 (/ PI 4))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ 1 (/ PI 4))) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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 (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) (/ 1 (/ PI 4))) in f
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (log (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3))) in f
* [misc]taylor:  Taking taylor expansion of (pow (tanh (* (/ PI 4) (/ 1 (- f)))) (+ 1/3 1/3)) in f
* [misc]taylor:  Taking taylor expansion of (exp (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* (+ 1/3 1/3) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (+ 1/3 1/3) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (+ 1/3 1/3) into 2/3
* [misc]backup-simplify:  Simplify (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 2/3 (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 (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3))
* [misc]taylor:  Taking taylor expansion of (log (cbrt (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of (cbrt (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Rewrote expression to (pow (tanh (* (/ PI 4) (/ 1 (- f)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in f
* [misc]taylor:  Taking taylor expansion of 1/3 in f
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/3 (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 (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)) into (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) into (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3)))
* [misc]backup-simplify:  Simplify (* (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) (/ 4 PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) PI))
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 0) (* 0 (/ 4 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 (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 0) (+ (* 0 0) (* 0 (/ 4 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 (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 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 (- (+ (* (/ 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 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)) (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 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)) (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 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 (* (exp (* 2/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 1/3 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 (* (exp (* 1/3 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 2/3)) (log (pow (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) 1/3))) PI)) into (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) PI))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) f) in (f) around 0
* [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]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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) 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 (* (/ PI 4) (/ 1 f)) in (f) around 0
* [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]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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 1)) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 1))) 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 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 0) (* 0 1)))) 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 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 0) (* 0 1))))) 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 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 0) (* 0 1)))))) 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 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) 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 (* (/ PI 4) (/ 1 (- f))) in (f) around 0
* [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]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 -1)) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 -1))) 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 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 0) (* 0 -1)))) 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 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 0) (* 0 -1))))) 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 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 0) (* 0 -1)))))) 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 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) 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:  simplifying candidates
* * * * [misc]progress:  [ 1 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (exp (* (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (* (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (188 enodes)
* [exit]simplify:  Simplified to (* (+ 1/3 1/3) (log (tanh (/ (* f PI) 4))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (* (+ (log (exp (* (+ 1/3 1/3) (log (tanh (/ (* f PI) 4)))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 2 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (exp (* (log (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 3 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (* 1 (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (tanh (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* [exit]simplify:  Simplified to (tanh (* (/ PI 4) f))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (* 1 (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 4 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (pow (tanh (* (/ PI 4) f)) (* (cbrt (+ 1/3 1/3)) (cbrt (+ 1/3 1/3)))) (cbrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (cbrt (+ 1/3 1/3))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (f) (* (+ (log (pow (pow (tanh (* (/ PI 4) f)) (* (cbrt (+ 1/3 1/3)) (cbrt (+ 1/3 1/3)))) (cbrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 5 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (pow (tanh (* (/ PI 4) f)) (sqrt (+ 1/3 1/3))) (sqrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (sqrt (+ 1/3 1/3))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (f) (* (+ (log (pow (pow (tanh (* (/ PI 4) f)) (sqrt (+ 1/3 1/3))) (sqrt (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 6 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (pow (tanh (* (/ PI 4) f)) 1) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (+ 1/3 1/3)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (+ 1/3 1/3)
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (f) (* (+ (log (pow (pow (tanh (* (/ PI 4) f)) 1) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 7 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (* (pow (tanh (* (/ PI 4) f)) 1/3) (pow (tanh (* (/ PI 4) f)) 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (pow (tanh (* (/ PI 4) f)) 1/3)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (147 enodes)
* [exit]simplify:  Simplified to (cbrt (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (f) (* (+ (log (* (pow (tanh (* (/ PI 4) f)) 1/3) (cbrt (tanh (* (/ PI 4) f))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 8 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (* (pow (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))) (+ 1/3 1/3)) (pow (cbrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (pow (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))) (+ 1/3 1/3))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (205 enodes)
* [exit]simplify:  Simplified to (* (pow (tanh (/ (* f PI) 4)) (* 1/3 (/ 0 0))) (pow (tanh (/ (* f PI) 4)) (* 1/3 (/ 0 0))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (* (+ (log (* (* (pow (tanh (/ (* f PI) 4)) (* 1/3 (/ 0 0))) (pow (tanh (/ (* f PI) 4)) (* 1/3 (/ 0 0)))) (pow (cbrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 9 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (* (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)) (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (190 enodes)
* [exit]simplify:  Simplified to (cbrt (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (* (+ (log (* (cbrt (tanh (* (/ PI 4) f))) (pow (sqrt (tanh (* (/ PI 4) f))) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 10 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (* (pow 1 (+ 1/3 1/3)) (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (pow 1 (+ 1/3 1/3))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (463 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (f) (* (+ (log (* 1 (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 11 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) 1)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 12 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (exp (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 13 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (log (exp (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 14 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (* (* (cbrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (cbrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (cbrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 15 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (cbrt (* (* (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)) (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 16 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (* (sqrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (sqrt (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 17 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (* 1 (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 18 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) 1/3))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 19 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (cbrt (tanh (* (/ PI 4) f))) 1))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 20 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (exp (log (cbrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 21 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (log (exp (cbrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 22 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f))))) (cbrt (cbrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (159 enodes)
* [exit]simplify:  Simplified to (cbrt (pow (tanh (/ f (/ 4 PI))) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt (pow (tanh (/ f (/ 4 PI))) (+ 1/3 1/3))) (cbrt (cbrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 23 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt (sqrt (tanh (* (/ PI 4) f)))) (cbrt (sqrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* [exit]simplify:  Simplified to (pow (tanh (* (/ PI 4) f)) (* 1/2 1/3))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (pow (tanh (* (/ PI 4) f)) (* 1/2 1/3)) (cbrt (sqrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 24 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (cbrt 1) (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* 1 (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 25 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ 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 (178 enodes)
* [exit]simplify:  Simplified to (cbrt (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 26 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (exp (* 2 (* (/ PI 4) f))) 1)) (cbrt (+ (exp (* 2 (* (/ PI 4) f))) 1))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (cbrt (- (exp (* 2 (* (/ PI 4) f))) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (189 enodes)
* [exit]simplify:  Simplified to (cbrt (- (exp (* (/ PI 4) (* f 2))) 1))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- (exp (* (/ PI 4) (* f 2))) 1)) (cbrt (+ (exp (* 2 (* (/ PI 4) f))) 1))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 27 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- 1 (exp (* -2 (* (/ PI 4) f))))) (cbrt (+ 1 (exp (* -2 (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (cbrt (- 1 (exp (* -2 (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (188 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (exp (* (/ PI 4) (* f -2)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (/ (cbrt (- 1 (exp (* (/ PI 4) (* f -2))))) (cbrt (+ 1 (exp (* -2 (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 28 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (* (cbrt (cbrt (tanh (* (/ PI 4) f)))) (cbrt (cbrt (tanh (* (/ PI 4) f))))) (cbrt (cbrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 29 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (* (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))) (cbrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 30 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* (sqrt (cbrt (tanh (* (/ PI 4) f)))) (sqrt (cbrt (tanh (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 31 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (* 1 (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 32 / 85 ] simplifiying candidate #<alt (λ (f) (pow (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))) 1))>
* [enter]simplify:  Simplifying (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (295 enodes)
* [exit]simplify:  Simplified to (* (log (tanh (/ (* f PI) 4))) (/ 4 PI))
* [misc]simplify:  Simplified (2 1) to (λ (f) (pow (* (log (tanh (/ (* f PI) 4))) (/ 4 PI)) 1))
* * * * [misc]progress:  [ 33 / 85 ] simplifiying candidate #<alt (λ (f) (pow (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))) 1))>
* * * * [misc]progress:  [ 34 / 85 ] simplifiying candidate #<alt (λ (f) (exp (+ (log (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (- (log (/ PI 4))))))>
* [enter]simplify:  Simplifying (+ (log (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (- (log (/ PI 4))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (310 enodes)
* [exit]simplify:  Simplified to (log (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (exp (log (/ (log (tanh (/ PI (/ 4 f)))) (/ PI 4)))))
* * * * [misc]progress:  [ 35 / 85 ] simplifiying candidate #<alt (λ (f) (exp (+ (log (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (log (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (+ (log (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (log (/ 1 (/ PI 4))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (330 enodes)
* [exit]simplify:  Simplified to (log (/ (log (tanh (/ (* f PI) 4))) (/ PI 4)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (exp (log (/ (log (tanh (/ (* f PI) 4))) (/ PI 4)))))
* * * * [misc]progress:  [ 36 / 85 ] simplifiying candidate #<alt (λ (f) (exp (log (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))))>
* * * * [misc]progress:  [ 37 / 85 ] simplifiying candidate #<alt (λ (f) (log (exp (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))))>
* * * * [misc]progress:  [ 38 / 85 ] simplifiying candidate #<alt (λ (f) (cbrt (* (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (375 enodes)
* [exit]simplify:  Simplified to (pow (* (log (tanh (/ f (/ 4 PI)))) (/ 4 PI)) 3)
* [misc]simplify:  Simplified (2 1) to (λ (f) (cbrt (pow (* (log (tanh (/ f (/ 4 PI)))) (/ 4 PI)) 3)))
* * * * [misc]progress:  [ 39 / 85 ] simplifiying candidate #<alt (λ (f) (* (* (cbrt (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))) (cbrt (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))) (cbrt (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))))>
* * * * [misc]progress:  [ 40 / 85 ] simplifiying candidate #<alt (λ (f) (cbrt (* (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))))>
* * * * [misc]progress:  [ 41 / 85 ] simplifiying candidate #<alt (λ (f) (* (sqrt (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))) (sqrt (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))))>
* * * * [misc]progress:  [ 42 / 85 ] simplifiying candidate #<alt (λ (f) (/ (* (+ (pow (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) 3) (pow (log (cbrt (tanh (* (/ PI 4) f)))) 3)) 1) (* (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (* (+ (pow (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) 3) (pow (log (cbrt (tanh (* (/ PI 4) f)))) 3)) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (319 enodes)
* [exit]simplify:  Simplified to (+ (pow (* (/ 0 0) (log (tanh (* (/ PI 4) f)))) 3) (pow (* 1/3 (log (tanh (* (/ PI 4) f)))) 3))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (+ (pow (* (/ 0 0) (log (tanh (* (/ PI 4) f)))) 3) (pow (* 1/3 (log (tanh (* (/ PI 4) f)))) 3)) (* (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4))))
* [enter]simplify:  Simplifying (* (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (331 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* 1/3 (log (tanh (* (/ PI 4) f)))) (- (* 1/3 (log (tanh (* (/ PI 4) f)))) (* (/ 0 0) (log (tanh (* (/ PI 4) f)))))) (* (* (/ 0 0) (log (tanh (* (/ PI 4) f)))) (* (/ 0 0) (log (tanh (* (/ PI 4) f)))))) (/ PI 4))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (+ (pow (* (/ 0 0) (log (tanh (* (/ PI 4) f)))) 3) (pow (* 1/3 (log (tanh (* (/ PI 4) f)))) 3)) (* (+ (* (* 1/3 (log (tanh (* (/ PI 4) f)))) (- (* 1/3 (log (tanh (* (/ PI 4) f)))) (* (/ 0 0) (log (tanh (* (/ PI 4) f)))))) (* (* (/ 0 0) (log (tanh (* (/ PI 4) f)))) (* (/ 0 0) (log (tanh (* (/ PI 4) f)))))) (/ PI 4))))
* * * * [misc]progress:  [ 43 / 85 ] simplifiying candidate #<alt (λ (f) (/ (* (- (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f)))))) 1) (* (- (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))>
* [enter]simplify:  Simplifying (* (- (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (300 enodes)
* [exit]simplify:  Simplified to (* (log (tanh (* (/ PI 4) f))) (- (* (/ 0 0) (log (tanh (* (/ PI 4) f)))) (* 1/3 (log (tanh (* (/ PI 4) f))))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (* (log (tanh (* (/ PI 4) f))) (- (* (/ 0 0) (log (tanh (* (/ PI 4) f)))) (* 1/3 (log (tanh (* (/ PI 4) f)))))) (* (- (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))))
* [enter]simplify:  Simplifying (* (- (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (257 enodes)
* [exit]simplify:  Simplified to (* (/ PI 4) (log (pow (tanh (/ (* f PI) 4)) (- (/ 0 0) 1/3))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (* (log (tanh (* (/ PI 4) f))) (- (* (/ 0 0) (log (tanh (* (/ PI 4) f)))) (* 1/3 (log (tanh (* (/ PI 4) f)))))) (* (/ PI 4) (log (pow (tanh (/ (* f PI) 4)) (- (/ 0 0) 1/3))))))
* * * * [misc]progress:  [ 44 / 85 ] simplifiying candidate #<alt (λ (f) (* 1 (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))))>
* * * * [misc]progress:  [ 45 / 85 ] simplifiying candidate #<alt (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))>
* [enter]simplify:  Simplifying (/ PI 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ PI 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ PI 4)))
* * * * [misc]progress:  [ 46 / 85 ] simplifiying candidate #<alt (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4))))) (cbrt (/ 1 (/ PI 4)))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 4 PI))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4))))) (cbrt (/ 4 PI))))
* * * * [misc]progress:  [ 47 / 85 ] simplifiying candidate #<alt (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 1 (/ PI 4)))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 4 PI))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))))
* * * * [misc]progress:  [ 48 / 85 ] simplifiying candidate #<alt (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (/ 1 (/ PI 4))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* [exit]simplify:  Simplified to (/ 4 PI)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ 4 PI)))
* * * * [misc]progress:  [ 49 / 85 ] simplifiying candidate #<alt (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (/ 1 (/ PI 4))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* [exit]simplify:  Simplified to (/ 4 PI)
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ 4 PI)))
* * * * [misc]progress:  [ 50 / 85 ] simplifiying candidate #<alt (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 PI)) 4))>
* * * * [misc]progress:  [ 51 / 85 ] simplifiying candidate #<alt (λ (f) (* (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))) (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (265 enodes)
* [exit]simplify:  Simplified to (pow (log (tanh (/ (* f PI) 4))) (/ 0 0))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (pow (log (tanh (/ (* f PI) 4))) (/ 0 0)) (* (cbrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))))
* * * * [misc]progress:  [ 52 / 85 ] simplifiying candidate #<alt (λ (f) (* (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (* (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))))>
* [enter]simplify:  Simplifying (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (252 enodes)
* [exit]simplify:  Simplified to (sqrt (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (sqrt (log (tanh (* (/ PI 4) f)))) (* (sqrt (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))))
* * * * [misc]progress:  [ 53 / 85 ] simplifiying candidate #<alt (λ (f) (* 1 (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))))>
* * * * [misc]progress:  [ 54 / 85 ] simplifiying candidate #<alt (λ (f) (* 1 (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))))>
* * * * [misc]progress:  [ 55 / 85 ] simplifiying candidate #<alt (λ (f) (* 1 (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))))>
* * * * [misc]progress:  [ 56 / 85 ] simplifiying candidate #<alt (λ (f) (* (log (tanh (* (/ PI 4) f))) (* (+ (+ 1/3 1/3) 1/3) (/ 1 (/ PI 4)))))>
* [enter]simplify:  Simplifying (log (tanh (* (/ PI 4) f)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* [exit]simplify:  Simplified to (log (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (* (log (tanh (* (/ PI 4) f))) (* (+ (+ 1/3 1/3) 1/3) (/ 1 (/ PI 4)))))
* * * * [misc]progress:  [ 57 / 85 ] simplifiying candidate #<alt (λ (f) (/ (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ PI 4)))>
* [enter]simplify:  Simplifying (/ PI 4)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ PI 4)
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) 1) (/ PI 4)))
* * * * [misc]progress:  [ 58 / 85 ] simplifiying candidate #<alt (λ (f) (/ (* (+ (pow (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) 3) (pow (log (cbrt (tanh (* (/ PI 4) f)))) 3)) (/ 1 (/ PI 4))) (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (* (+ (pow (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) 3) (pow (log (cbrt (tanh (* (/ PI 4) f)))) 3)) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (347 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (+ (pow (* (/ 0 0) (log (tanh (/ PI (/ 4 f))))) 3) (pow (* 1/3 (log (tanh (/ PI (/ 4 f))))) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (* (/ 4 PI) (+ (pow (* (/ 0 0) (log (tanh (/ PI (/ 4 f))))) 3) (pow (* 1/3 (log (tanh (/ PI (/ 4 f))))) 3))) (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))))
* * * * [misc]progress:  [ 59 / 85 ] simplifiying candidate #<alt (λ (f) (/ (* (- (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) (- (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (* (- (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f)))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (328 enodes)
* [exit]simplify:  Simplified to (* (/ 4 PI) (* (log (tanh (/ PI (/ 4 f)))) (- (* (log (tanh (/ PI (/ 4 f)))) (/ 0 0)) (* 1/3 (log (tanh (/ PI (/ 4 f))))))))
* [misc]simplify:  Simplified (2 1) to (λ (f) (/ (* (/ 4 PI) (* (log (tanh (/ PI (/ 4 f)))) (- (* (log (tanh (/ PI (/ 4 f)))) (/ 0 0)) (* 1/3 (log (tanh (/ PI (/ 4 f)))))))) (- (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 60 / 85 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (/ PI 4)) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 61 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (pow (* (/ PI 4) f) 1))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 62 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (exp (log (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 63 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (log (exp (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 64 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) (cbrt (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 65 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (cbrt (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 66 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (sqrt (* (/ PI 4) f)) (sqrt (* (/ PI 4) f))))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 67 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1 (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 68 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (/ PI 4)) f)))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* [exit]simplify:  Simplified to (pow (/ PI 4) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 1 2 1 1 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (pow (/ PI 4) (+ 1/3 1/3)) (* (cbrt (/ PI 4)) f)))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 69 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (sqrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 1 2 1 1 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 70 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1 (* (/ PI 4) f)))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 71 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* PI (* (/ 1 4) f)))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 72 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (/ (* PI f) 4))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (* PI f)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* f PI)
* [misc]simplify:  Simplified (2 1 2 1 1 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (/ (* f PI) 4))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 73 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (/ PI 4)))))) (/ 1 (/ PI 4))))>
* * * * [misc]progress:  [ 74 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (- (+ (* 31/103680 (* (pow PI 4) (* (pow f 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/72 (* (pow PI 2) (* (pow f 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (- (+ (* 31/103680 (* (pow PI 4) (* (pow f 4) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/72 (* (pow PI 2) (* (pow f 2) (exp (* 2/3 (+ (log f) (log (* 1/4 PI)))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (454 enodes)
* [exit]simplify:  Simplified to (- (+ (pow (* (* f 1/4) PI) 2/3) (* (* 31/103680 (pow (* PI f) 4)) (pow (* (* f 1/4) PI) 2/3))) (* (* 1/72 (* (* PI PI) (* f f))) (pow (* (* f 1/4) PI) 2/3)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (* (+ (log (- (+ (pow (* (* f 1/4) PI) 2/3) (* (* 31/103680 (pow (* PI f) 4)) (pow (* (* f 1/4) PI) 2/3))) (* (* 1/72 (* (* PI PI) (* f f))) (pow (* (* f 1/4) PI) 2/3)))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 75 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (239 enodes)
* [exit]simplify:  Simplified to (pow (tanh (* PI (* f 1/4))) 2/3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (* (+ (log (pow (tanh (* PI (* f 1/4))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 76 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (249 enodes)
* [exit]simplify:  Simplified to (pow (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) 2/3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (f) (* (+ (log (pow (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) 2/3)) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 77 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (- (+ (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 4) (pow f 4)))) (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 2) (pow f 2))))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (- (+ (* 13/103680 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 4) (pow f 4)))) (exp (* 1/3 (+ (log f) (log (* 1/4 PI)))))) (* 1/144 (* (exp (* 1/3 (+ (log f) (log (* 1/4 PI))))) (* (pow PI 2) (pow f 2)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (457 enodes)
* [exit]simplify:  Simplified to (- (+ (pow (* (* f PI) 1/4) 1/3) (* (* 13/103680 (pow (* f PI) 4)) (pow (* (* f PI) 1/4) 1/3))) (* (pow (* (* f PI) 1/4) 1/3) (* (* (* f PI) (* f PI)) 1/144)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (- (+ (pow (* (* f PI) 1/4) 1/3) (* (* 13/103680 (pow (* f PI) 4)) (pow (* (* f PI) 1/4) 1/3))) (* (pow (* (* f PI) 1/4) 1/3) (* (* (* f PI) (* f PI)) 1/144))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 78 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (236 enodes)
* [exit]simplify:  Simplified to (cbrt (tanh (* f (* PI 1/4))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 79 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (246 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 80 / 85 ] simplifiying candidate #<alt (λ (f) (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (442 enodes)
* [exit]simplify:  Simplified to (+ (+ (* (* (* 7/5760 PI) (* PI PI)) (pow f 4)) (* 4 (/ (log f) PI))) (+ (* (log (* 1/4 PI)) (* (/ 1 PI) 4)) (* (* 1/12 PI) (- (* f f)))))
* [misc]simplify:  Simplified (2) to (λ (f) (+ (+ (* (* (* 7/5760 PI) (* PI PI)) (pow f 4)) (* 4 (/ (log f) PI))) (+ (* (log (* 1/4 PI)) (* (/ 1 PI) 4)) (* (* 1/12 PI) (- (* f f))))))
* * * * [misc]progress:  [ 81 / 85 ] simplifiying candidate #<alt (λ (f) (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3))) PI)))>
* [enter]simplify:  Simplifying (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 1/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))) 2/3))) PI))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (377 enodes)
* [exit]simplify:  Simplified to (* (* (log (tanh (* f (* PI 1/4)))) (+ 2/3 1/3)) (* (/ 1 PI) 4))
* [misc]simplify:  Simplified (2) to (λ (f) (* (* (log (tanh (* f (* PI 1/4)))) (+ 2/3 1/3)) (* (/ 1 PI) 4)))
* * * * [misc]progress:  [ 82 / 85 ] simplifiying candidate #<alt (λ (f) (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) PI)))>
* [enter]simplify:  Simplifying (* 4 (/ (+ (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 2/3)) (log (pow (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) 1/3))) PI))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (387 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))))) (+ 1/3 2/3)) (* (/ 1 PI) 4))
* [misc]simplify:  Simplified (2) to (λ (f) (* (* (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))))) (+ 1/3 2/3)) (* (/ 1 PI) 4)))
* * * * [misc]progress:  [ 83 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1/4 (* PI f)))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 84 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1/4 (* PI f)))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ 1 (/ PI 4))))
* * * * [misc]progress:  [ 85 / 85 ] simplifiying candidate #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* 1/4 (* PI f)))))) (/ 1 (/ PI 4))))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* f (* PI 1/4)))))) (/ 1 (/ PI 4))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))
* [misc]backup-simplify:  Simplify (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))) (* 0 (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ 0 (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* 7/23040 (pow PI 4)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2))))
* [misc]backup-simplify:  Simplify (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) (pow f 4)) (+ (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (pow f 2)) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) into (- (+ (* 1/192 (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 7/92160 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 2))))
* [misc]approximate:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))))) into (* 1/4 (/ PI (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 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) into (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (/ PI 4) f) in (f) around 0
* [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]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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) 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 (* (/ PI 4) (/ 1 f)) in (f) around 0
* [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]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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 1)) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 1))) 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 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 0) (* 0 1)))) 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 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 0) (* 0 1))))) 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 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 0) (* 0 1)))))) 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 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) 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 (* (/ PI 4) (/ 1 (- f))) in (f) around 0
* [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]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (* 0 -1)) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 -1))) 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 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 0) (* 0 -1)))) 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 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 0) (* 0 -1))))) 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 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 0) (* 0 -1)))))) 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 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) 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:  [ 3 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (log f) (log (* 1/4 PI))) into (+ (log f) (log (* 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 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)) (* 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (* -1/48 (pow PI 2)) into (* -1/48 (pow PI 2))
* [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 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)) (* 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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 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 (pow PI 2)) (pow f 2)) (+ (log f) (log (* 1/4 PI))))) into (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2))))
* [misc]approximate:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 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 (tanh (* (/ PI 4) (/ 1 (- f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- 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:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) f))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) f)) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) 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) 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 (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (* 1/2 PI) 2) into (* 1/4 PI)
* [misc]backup-simplify:  Simplify (log (* 1/4 PI)) into (log (* 1/4 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 PI) (+ (log f) (log (* 1/4 PI)))) into (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI)))))) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [misc]backup-simplify:  Simplify (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) into (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI))
* [misc]backup-simplify:  Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 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 (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) (* -1/4 PI)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/4 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 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 (- (/ 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 (pow PI 2))
* [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 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/192 (pow PI 3)) 2) (+ (* (* 1/4 PI) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (- (* 1/192 (pow PI 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 1)))) 2) into (* -1/48 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2)))
* [misc]backup-simplify:  Simplify (- (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 0 (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [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 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 2) (+ (* (* 1/4 PI) (/ 0 2)) (* 0 (/ (* 1/16 (pow PI 2)) 2)) (* (- (* 1/192 (pow PI 3))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ 0 (+ (log f) (log (* 1/4 PI))))) (* 0 (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ 0 (+ (log f) (log (* 1/4 PI))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 0 (/ (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* (- (* 1/12 PI)) (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 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) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [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 (- (/ 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 (- (/ (* 1/61440 (pow PI 5)) 2) (+ (* (* 1/4 PI) (/ (* 1/3072 (pow PI 4)) 2)) (* 0 (/ 0 2)) (* (- (* 1/192 (pow PI 3))) (/ (* 1/16 (pow PI 2)) 2)) (* 0 (/ 0 2)))) into (* 1/7680 (pow PI 5))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/192 (pow PI 3)))) 1)) (pow (* 1/4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/192 (pow PI 3)))) 2)) (pow (* 1/4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/7680 (pow PI 5))) 1)) (pow (* 1/4 PI) 1)))) 24) into (* 7/23040 (pow PI 4))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log f)) (log (* 1/4 PI))) into (+ (log f) (log (* 1/4 PI)))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (log f) (log (* 1/4 PI)))) (+ (* (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))) (/ (* 7/23040 (pow PI 4)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))) (* (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (/ (* -1/48 (pow PI 2)) (+ (log f) (log (* 1/4 PI))))) (* 0 (/ 0 (+ (log f) (log (* 1/4 PI))))))) into (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)) (/ (- (* 1/9216 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 7/92160 (/ (pow PI 5) (pow (+ (log f) (log (* 1/4 PI))) 2)))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 0 (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* (- (* 1/12 PI)) (/ (* 1/192 (/ (pow PI 3) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 0 (/ 0 (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))))) into (- (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/576 (/ (pow PI 3) (+ (log f) (log (* 1/4 PI))))) (* 7/5760 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/576 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/576 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 3))))))
* [misc]backup-simplify:  Simplify (- (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/576 (/ (pow PI 3) (+ (log f) (log (* 1/4 PI))))) (* 7/5760 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/576 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/576 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 3)))))) into (- (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/576 (/ (pow PI 3) (+ (log f) (log (* 1/4 PI))))) (+ (* 7/5760 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/5760 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/576 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/576 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 3))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/576 (/ (pow PI 3) (+ (log f) (log (* 1/4 PI))))) (+ (* 7/5760 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 7/5760 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 2)))))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (log (* 1/4 PI)))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/576 (/ (* (pow (log f) 2) (pow PI 3)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/576 (/ (* (pow PI 3) (pow (log (* 1/4 PI)) 2)) (pow (+ (log f) (log (* 1/4 PI))) 3)))))) (pow f 4)) (+ (* (- (* 1/12 PI)) (pow f 2)) (* 4 (/ (+ (log f) (log (* 1/4 PI))) PI)))) into (- (+ (* 4 (/ (log (* 1/4 PI)) PI)) (+ (* 7/5760 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 4 (/ (log f) PI)) (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/576 (/ (* (pow PI 3) (pow f 4)) (+ (log f) (log (* 1/4 PI)))))))))) (+ (* 1/576 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/12 (* PI (pow f 2))) (* 1/576 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 3)))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 f)))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (/ 1 (* 1/4 (/ 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]taylor:  Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 f)))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 f)))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 f))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 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))))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 1/4 (/ PI (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 (/ 1 (* 1/4 (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 0 (/ 0 (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 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 (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (/ 1 (* 1/4 (/ 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]taylor:  Taking taylor expansion of (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) (/ 1 (- f))))))) in f
* [misc]taylor:  Taking taylor expansion of (/ (/ PI 4) (log (tanh (* (/ 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 (log (tanh (* (/ PI 4) (/ 1 (- f))))) in f
* [misc]taylor:  Taking taylor expansion of (tanh (* (/ PI 4) (/ 1 (- f)))) in f
* [misc]taylor:  Rewrote expression to (/ (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- 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)))) 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 (/ (- (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 (/ (* 1/4 PI) (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 1/4 (/ PI (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 (/ 1 (* 1/4 (/ 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 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 0 (/ 0 (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 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 (- (+ (* (* 4 (/ (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (log (/ (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (/ 0 (* 1/4 (/ PI (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 (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- 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:  simplifying candidates
* * * * [misc]progress:  [ 1 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (pow (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) 1)))>
* * * * [misc]progress:  [ 2 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (exp (- (log (/ PI 4)) (log (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (- (log (/ PI 4)) (log (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (185 enodes)
* [exit]simplify:  Simplified to (log (/ (/ PI 4) (log (tanh (/ PI (/ 4 f))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (exp (log (/ (/ PI 4) (log (tanh (/ PI (/ 4 f)))))))))
* * * * [misc]progress:  [ 3 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (exp (log (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 4 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (log (exp (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 5 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (cbrt (/ (* (* (/ PI 4) (/ PI 4)) (/ PI 4)) (* (* (log (tanh (* (/ PI 4) f))) (log (tanh (* (/ PI 4) f)))) (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ PI 4) (/ PI 4)) (/ PI 4)) (* (* (log (tanh (* (/ PI 4) f))) (log (tanh (* (/ PI 4) f)))) (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (227 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) 3)
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (cbrt (pow (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))) 3))))
* * * * [misc]progress:  [ 6 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (* (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 7 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (cbrt (* (* (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 8 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 9 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (- (/ PI 4)) (- (log (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 10 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (pow (/ PI 4) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 11 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (/ (cbrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (216 enodes)
* [exit]simplify:  Simplified to (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3))) (/ (cbrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (180 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ PI 4) (log (tanh (/ (* PI f) 4)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (/ (pow (/ PI 4) (+ 1/3 1/3)) (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3))) (cbrt (/ (/ PI 4) (log (tanh (/ (* PI f) 4))))))))
* * * * [misc]progress:  [ 12 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (* (/ PI 4) f))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (199 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ PI 4) f))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ f (/ 4 PI))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (sqrt (/ (* (/ PI 4) (cbrt (/ PI 4))) (log (tanh (* (/ PI 4) f))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ f (/ 4 PI)))))))))
* * * * [misc]progress:  [ 13 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (pow (/ PI 4) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (pow (/ PI 4) (+ 1/3 1/3)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 14 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) 1) (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (168 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))))))
* * * * [misc]progress:  [ 15 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (199 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ PI 4)) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ f (/ 4 PI))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) (pow (log (tanh (/ f (/ 4 PI)))) (+ 1/3 1/3))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ f (/ 4 PI)))))))))
* * * * [misc]progress:  [ 16 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))) (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))
* * * * [misc]progress:  [ 17 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ (sqrt (/ PI 4)) 1) (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (168 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (sqrt (/ PI 4)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI))))))))
* * * * [misc]progress:  [ 18 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ 1 1) (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))
* [enter]simplify:  Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (154 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 19 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ 1 (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (198 enodes)
* [exit]simplify:  Simplified to (* (pow (log (tanh (/ PI (/ 4 f)))) (- 1/3)) (pow (log (tanh (/ PI (/ 4 f)))) (- 1/3)))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (* (pow (log (tanh (/ PI (/ 4 f)))) (- 1/3)) (pow (log (tanh (/ PI (/ 4 f)))) (- 1/3))) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f))))))))
* [enter]simplify:  Simplifying (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (/ 1 (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f))))))))
* * * * [misc]progress:  [ 20 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ 1 (sqrt (log (tanh (* (/ PI 4) f))))) (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (182 enodes)
* [exit]simplify:  Simplified to (pow (log (tanh (/ f (/ 4 PI)))) (- 1/2))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (pow (log (tanh (/ f (/ 4 PI)))) (- 1/2)) (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f))))))))
* [enter]simplify:  Simplifying (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (169 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (/ 1 (sqrt (log (tanh (* (/ PI 4) f))))) (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4))))))))
* * * * [misc]progress:  [ 21 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ 1 1) (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))
* [enter]simplify:  Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (154 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 22 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ PI 1) (/ (/ 1 4) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ PI 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to PI
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* PI (/ (/ 1 4) (log (tanh (* (/ PI 4) f)))))))
* [enter]simplify:  Simplifying (/ (/ 1 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 4) (log (tanh (/ (* PI f) 4))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* PI (/ (/ 1 4) (log (tanh (/ (* PI f) 4)))))))
* * * * [misc]progress:  [ 23 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ PI (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (/ (/ 1 4) (cbrt (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ PI (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (182 enodes)
* [exit]simplify:  Simplified to (/ PI (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3))) (/ (/ 1 4) (cbrt (log (tanh (* (/ PI 4) f))))))))
* [enter]simplify:  Simplifying (/ (/ 1 4) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (202 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 4) (cbrt (log (tanh (* f (/ PI 4))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (/ PI (pow (log (tanh (/ (* f PI) 4))) (+ 1/3 1/3))) (/ (/ 1 4) (cbrt (log (tanh (* f (/ PI 4)))))))))
* * * * [misc]progress:  [ 24 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ PI (sqrt (log (tanh (* (/ PI 4) f))))) (/ (/ 1 4) (sqrt (log (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (/ PI (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (166 enodes)
* [exit]simplify:  Simplified to (/ PI (sqrt (log (tanh (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* (/ PI (sqrt (log (tanh (* (/ PI 4) f))))) (/ (/ 1 4) (sqrt (log (tanh (* (/ PI 4) f))))))))
* [enter]simplify:  Simplifying (/ (/ 1 4) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 4) (sqrt (log (tanh (/ PI (/ 4 f))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* (/ PI (sqrt (log (tanh (* (/ PI 4) f))))) (/ (/ 1 4) (sqrt (log (tanh (/ PI (/ 4 f)))))))))
* * * * [misc]progress:  [ 25 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ PI 1) (/ (/ 1 4) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ PI 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to PI
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (* PI (/ (/ 1 4) (log (tanh (* (/ PI 4) f)))))))
* [enter]simplify:  Simplifying (/ (/ 1 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 4) (log (tanh (/ (* PI f) 4))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (* PI (/ (/ 1 4) (log (tanh (/ (* PI f) 4)))))))
* * * * [misc]progress:  [ 26 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 27 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* (/ PI 4) (/ 1 (log (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 28 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))>
* * * * [misc]progress:  [ 29 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ (/ PI 4) 1) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (log (tanh (* (/ PI 4) f)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* [exit]simplify:  Simplified to (log (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ (/ PI 4) 1) (log (tanh (* (/ PI 4) f))))))
* * * * [misc]progress:  [ 30 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ (/ PI 4) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (cbrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (cbrt (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* [exit]simplify:  Simplified to (cbrt (log (tanh (/ (* f PI) 4))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ (/ PI 4) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f)))))) (cbrt (log (tanh (/ (* f PI) 4)))))))
* * * * [misc]progress:  [ 31 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f))))) (sqrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (sqrt (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* [exit]simplify:  Simplified to (sqrt (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f))))) (sqrt (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 32 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ (/ PI 4) 1) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (log (tanh (* (/ PI 4) f)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* [exit]simplify:  Simplified to (log (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ (/ PI 4) 1) (log (tanh (* (/ PI 4) f))))))
* * * * [misc]progress:  [ 33 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* [exit]simplify:  Simplified to (pow (/ PI 4) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (/ (pow (/ PI 4) (+ 1/3 1/3)) (/ (log (tanh (* (/ PI 4) f))) (cbrt (/ PI 4))))))
* * * * [misc]progress:  [ 34 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (sqrt (/ PI 4)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))))))>
* [enter]simplify:  Simplifying (sqrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 2 1) to (λ (f) (/ 1 (/ (sqrt (/ PI 4)) (/ (log (tanh (* (/ PI 4) f))) (sqrt (/ PI 4))))))
* * * * [misc]progress:  [ 35 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ 1 (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))>
* * * * [misc]progress:  [ 36 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ PI (/ (log (tanh (* (/ PI 4) f))) (/ 1 4)))))>
* * * * [misc]progress:  [ 37 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ PI (* (log (tanh (* (/ PI 4) f))) 4))))>
* * * * [misc]progress:  [ 38 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (pow (* (/ PI 4) f) 1))))))>
* * * * [misc]progress:  [ 39 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (exp (log (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 40 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (log (exp (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 41 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) (cbrt (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 42 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (cbrt (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 43 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (sqrt (* (/ PI 4) f)) (sqrt (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 44 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* 1 (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 45 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (/ PI 4)) f)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* [exit]simplify:  Simplified to (pow (/ PI 4) (+ 1/3 1/3))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (pow (/ PI 4) (+ 1/3 1/3)) (* (cbrt (/ PI 4)) f)))))))
* * * * [misc]progress:  [ 46 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))))))>
* [enter]simplify:  Simplifying (sqrt (/ PI 4))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (/ PI 4))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (sqrt (/ PI 4)) (* (sqrt (/ PI 4)) f)))))))
* * * * [misc]progress:  [ 47 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* 1 (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 48 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* PI (* (/ 1 4) f)))))))>
* * * * [misc]progress:  [ 49 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (/ (* PI f) 4))))))>
* [enter]simplify:  Simplifying (* PI f)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* f PI)
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (/ (* f PI) 4))))))
* * * * [misc]progress:  [ 50 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* f (/ PI 4)))))))>
* * * * [misc]progress:  [ 51 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (+ (log (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f))))) (log (cbrt (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (log (* (cbrt (tanh (* (/ PI 4) f))) (cbrt (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (160 enodes)
* [exit]simplify:  Simplified to (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))
* * * * [misc]progress:  [ 52 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (+ (log (sqrt (tanh (* (/ PI 4) f)))) (log (sqrt (tanh (* (/ PI 4) f))))))))>
* [enter]simplify:  Simplifying (log (sqrt (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* [exit]simplify:  Simplified to (log (sqrt (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (+ (log (sqrt (tanh (* (/ PI 4) f)))) (log (sqrt (tanh (* (/ PI 4) f))))))))
* * * * [misc]progress:  [ 53 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (+ (log 1) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (+ (log 1) (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 54 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ 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 (177 enodes)
* [exit]simplify:  Simplified to (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (- (log (- (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))
* * * * [misc]progress:  [ 55 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (- (log (- (exp (* 2 (* (/ PI 4) f))) 1)) (log (+ (exp (* 2 (* (/ PI 4) f))) 1))))))>
* [enter]simplify:  Simplifying (log (- (exp (* 2 (* (/ PI 4) f))) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (188 enodes)
* [exit]simplify:  Simplified to (log (- (exp (* (* 2 f) (/ PI 4))) 1))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (- (log (- (exp (* (* 2 f) (/ PI 4))) 1)) (log (+ (exp (* 2 (* (/ PI 4) f))) 1))))))
* * * * [misc]progress:  [ 56 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (- (log (- 1 (exp (* -2 (* (/ PI 4) f))))) (log (+ 1 (exp (* -2 (* (/ PI 4) f)))))))))>
* [enter]simplify:  Simplifying (log (- 1 (exp (* -2 (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (187 enodes)
* [exit]simplify:  Simplified to (log (- 1 (exp (* (* -2 f) (/ PI 4)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (- (log (- 1 (exp (* (* -2 f) (/ PI 4))))) (log (+ 1 (exp (* -2 (* (/ PI 4) f)))))))))
* * * * [misc]progress:  [ 57 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (* 1 (log (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 58 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (pow (log (tanh (* (/ PI 4) f))) 1))))>
* * * * [misc]progress:  [ 59 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (tanh (* (/ PI 4) f))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* [exit]simplify:  Simplified to (tanh (* (/ PI 4) f))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))
* * * * [misc]progress:  [ 60 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (exp (log (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 61 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (exp (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 62 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (* (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))) (cbrt (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 63 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (cbrt (* (* (log (tanh (* (/ PI 4) f))) (log (tanh (* (/ PI 4) f)))) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 64 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (* (sqrt (log (tanh (* (/ PI 4) f)))) (sqrt (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 65 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (* 1 (log (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 66 / 112 ] simplifiying candidate #<alt (λ (f) (pow (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) -1))>
* * * * [misc]progress:  [ 67 / 112 ] simplifiying candidate #<alt (λ (f) (pow (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) (- 1)))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 2) to (λ (f) (pow (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) -1))
* * * * [misc]progress:  [ 68 / 112 ] simplifiying candidate #<alt (λ (f) (pow (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) 1))>
* * * * [misc]progress:  [ 69 / 112 ] simplifiying candidate #<alt (λ (f) (exp (- (- (log (/ PI 4)) (log (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 70 / 112 ] simplifiying candidate #<alt (λ (f) (exp (- (log (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 71 / 112 ] simplifiying candidate #<alt (λ (f) (exp (log (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 72 / 112 ] simplifiying candidate #<alt (λ (f) (log (exp (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 73 / 112 ] simplifiying candidate #<alt (λ (f) (* (* (cbrt (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) (cbrt (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) (cbrt (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 74 / 112 ] simplifiying candidate #<alt (λ (f) (cbrt (* (* (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 75 / 112 ] simplifiying candidate #<alt (λ (f) (* (sqrt (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) (sqrt (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))))>
* * * * [misc]progress:  [ 76 / 112 ] simplifiying candidate #<alt (λ (f) (/ (- 1) (- (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 77 / 112 ] simplifiying candidate #<alt (λ (f) (* 1 (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 78 / 112 ] simplifiying candidate #<alt (λ (f) (* 1 (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))>
* * * * [misc]progress:  [ 79 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))) 1)))>
* * * * [misc]progress:  [ 80 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (* (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (168 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (* (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))) (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))) (cbrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 81 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (170 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))) (sqrt (/ (/ PI 4) (log (tanh (/ f (/ 4 PI))))))))
* * * * [misc]progress:  [ 82 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))
* * * * [misc]progress:  [ 83 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (cbrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (180 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ PI 4) (log (tanh (/ (* PI f) 4)))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (cbrt (/ (/ PI 4) (log (tanh (/ (* PI f) 4)))))))
* * * * [misc]progress:  [ 84 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ f (/ 4 PI))))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (cbrt (/ PI 4)) (sqrt (log (tanh (/ f (/ 4 PI))))))))
* * * * [misc]progress:  [ 85 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ (* (cbrt (/ PI 4)) (cbrt (/ PI 4))) 1)) (/ (cbrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))
* * * * [misc]progress:  [ 86 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) 1)) (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (168 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) 1)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))))
* * * * [misc]progress:  [ 87 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ f (/ 4 PI))))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (sqrt (/ PI 4)) (cbrt (log (tanh (/ f (/ 4 PI))))))))
* * * * [misc]progress:  [ 88 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) (sqrt (log (tanh (* (/ PI 4) f)))))) (sqrt (/ (/ PI 4) (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 89 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) 1)) (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ PI 4)) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (168 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ (sqrt (/ PI 4)) 1)) (/ (sqrt (/ PI 4)) (log (tanh (/ f (/ 4 PI)))))))
* * * * [misc]progress:  [ 90 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ 1 1)) (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (154 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ 1 1)) (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))
* * * * [misc]progress:  [ 91 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ 1 (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ 1 (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (/ PI 4) (cbrt (log (tanh (* (/ PI 4) f)))))))
* * * * [misc]progress:  [ 92 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ 1 (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (/ PI 4) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (169 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4)))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ 1 (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (/ PI 4) (sqrt (log (tanh (/ (* f PI) 4)))))))
* * * * [misc]progress:  [ 93 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ 1 1)) (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (154 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ 1 1)) (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))
* * * * [misc]progress:  [ 94 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ PI 1)) (/ (/ 1 4) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (/ 1 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 4) (log (tanh (/ (* PI f) 4))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI 1)) (/ (/ 1 4) (log (tanh (/ (* PI f) 4))))))
* * * * [misc]progress:  [ 95 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ PI (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (/ 1 4) (cbrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 4) (cbrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (202 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 4) (cbrt (log (tanh (* f (/ PI 4))))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI (* (cbrt (log (tanh (* (/ PI 4) f)))) (cbrt (log (tanh (* (/ PI 4) f))))))) (/ (/ 1 4) (cbrt (log (tanh (* f (/ PI 4))))))))
* * * * [misc]progress:  [ 96 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ PI (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (/ 1 4) (sqrt (log (tanh (* (/ PI 4) f)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 4) (sqrt (log (tanh (* (/ PI 4) f)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 4) (sqrt (log (tanh (/ PI (/ 4 f))))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI (sqrt (log (tanh (* (/ PI 4) f)))))) (/ (/ 1 4) (sqrt (log (tanh (/ PI (/ 4 f))))))))
* * * * [misc]progress:  [ 97 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ PI 1)) (/ (/ 1 4) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (/ 1 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 4) (log (tanh (/ (* PI f) 4))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI 1)) (/ (/ 1 4) (log (tanh (/ (* PI f) 4))))))
* * * * [misc]progress:  [ 98 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 1) (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (154 enodes)
* [exit]simplify:  Simplified to (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 1) (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))
* * * * [misc]progress:  [ 99 / 112 ] simplifiying candidate #<alt (λ (f) (/ (/ 1 (/ PI 4)) (/ 1 (log (tanh (* (/ PI 4) f))))))>
* [enter]simplify:  Simplifying (/ 1 (log (tanh (* (/ PI 4) f))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (167 enodes)
* [exit]simplify:  Simplified to (/ 1 (log (tanh (/ (* PI f) 4))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ (/ 1 (/ PI 4)) (/ 1 (log (tanh (/ (* PI f) 4))))))
* * * * [misc]progress:  [ 100 / 112 ] simplifiying candidate #<alt (λ (f) (* (/ 1 (/ PI 4)) (log (tanh (* (/ PI 4) f)))))>
* [enter]simplify:  Simplifying (log (tanh (* (/ PI 4) f)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* [exit]simplify:  Simplified to (log (tanh (* (/ PI 4) f)))
* [misc]simplify:  Simplified (2 2) to (λ (f) (* (/ 1 (/ PI 4)) (log (tanh (* (/ PI 4) f)))))
* * * * [misc]progress:  [ 101 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (- (+ (* 1/192 (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 7/92160 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 2))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/192 (/ (* (pow PI 3) (pow f 2)) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 3))) (* 1/4 (/ PI (+ (log f) (log (* 1/4 PI))))))) (* 7/92160 (/ (* (pow f 4) (pow PI 5)) (pow (+ (log f) (log (* 1/4 PI))) 2))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* [exit]simplify:  Simplified to (- (+ (/ (* 1/192 (* (pow PI 3) (* f f))) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI))))) (+ (/ (* 1/9216 (* (pow PI 5) (pow f 4))) (pow (log (* f (* 1/4 PI))) 3)) (/ (* 1/4 PI) (log (* f (* 1/4 PI)))))) (/ (* 7/92160 (* (pow PI 5) (pow f 4))) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI))))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ 1 (- (+ (/ (* 1/192 (* (pow PI 3) (* f f))) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI))))) (+ (/ (* 1/9216 (* (pow PI 5) (pow f 4))) (pow (log (* f (* 1/4 PI))) 3)) (/ (* 1/4 PI) (log (* f (* 1/4 PI)))))) (/ (* 7/92160 (* (pow PI 5) (pow f 4))) (* (log (* f (* 1/4 PI))) (log (* f (* 1/4 PI))))))))
* * * * [misc]progress:  [ 102 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f))))))))))>
* [enter]simplify:  Simplifying (* 1/4 (/ PI (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 (14 enodes)
* * [misc]simplify:  iters left: 5 (259 enodes)
* [exit]simplify:  Simplified to (/ (* PI 1/4) (log (tanh (* (* 1/4 f) PI))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ 1 (/ (* PI 1/4) (log (tanh (* (* 1/4 f) PI))))))
* * * * [misc]progress:  [ 103 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (* 1/4 (/ PI (log (/ (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))>
* [enter]simplify:  Simplifying (* 1/4 (/ PI (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 (15 enodes)
* * [misc]simplify:  iters left: 5 (269 enodes)
* [exit]simplify:  Simplified to (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))
* [misc]simplify:  Simplified (2 2) to (λ (f) (/ 1 (/ (* PI 1/4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))))
* * * * [misc]progress:  [ 104 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* 1/4 (* PI f)))))))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* f (* PI 1/4)))))))
* * * * [misc]progress:  [ 105 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* 1/4 (* PI f)))))))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* f (* PI 1/4)))))))
* * * * [misc]progress:  [ 106 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* 1/4 (* PI f)))))))>
* [enter]simplify:  Simplifying (* 1/4 (* PI f))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* [exit]simplify:  Simplified to (* f (* PI 1/4))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* f (* PI 1/4)))))))
* * * * [misc]progress:  [ 107 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ PI 4) (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2)))))))>
* [enter]simplify:  Simplifying (- (+ (log f) (+ (log (* 1/4 PI)) (* 7/23040 (* (pow PI 4) (pow f 4))))) (* 1/48 (* (pow PI 2) (pow f 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (370 enodes)
* [exit]simplify:  Simplified to (- (+ (log (* f (* 1/4 PI))) (* (pow (* PI f) 4) 7/23040)) (* 1/48 (* (* PI f) (* PI f))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ PI 4) (- (+ (log (* f (* 1/4 PI))) (* (pow (* PI f) 4) 7/23040)) (* 1/48 (* (* PI f) (* PI f)))))))
* * * * [misc]progress:  [ 108 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ 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 (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 (12 enodes)
* * [misc]simplify:  iters left: 5 (220 enodes)
* [exit]simplify:  Simplified to (log (tanh (* (* f PI) 1/4)))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (* f PI) 1/4))))))
* * * * [misc]progress:  [ 109 / 112 ] simplifiying candidate #<alt (λ (f) (/ 1 (/ (/ 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 (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 (13 enodes)
* * [misc]simplify:  iters left: 5 (230 enodes)
* [exit]simplify:  Simplified to (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (f) (/ 1 (/ (/ PI 4) (log (/ (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))))
* * * * [misc]progress:  [ 110 / 112 ] simplifiying candidate #<alt (λ (f) (- (+ (* 4 (/ (log (* 1/4 PI)) PI)) (+ (* 7/5760 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 4 (/ (log f) PI)) (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/576 (/ (* (pow PI 3) (pow f 4)) (+ (log f) (log (* 1/4 PI)))))))))) (+ (* 1/576 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/12 (* PI (pow f 2))) (* 1/576 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 3))))))))>
* [enter]simplify:  Simplifying (- (+ (* 4 (/ (log (* 1/4 PI)) PI)) (+ (* 7/5760 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 7/5760 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (+ (* 4 (/ (log f) PI)) (+ (* 7/2880 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 2))) (* 1/576 (/ (* (pow PI 3) (pow f 4)) (+ (log f) (log (* 1/4 PI)))))))))) (+ (* 1/576 (/ (* (pow (log f) 2) (* (pow PI 3) (pow f 4))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/288 (/ (* (log f) (* (pow PI 3) (* (pow f 4) (log (* 1/4 PI))))) (pow (+ (log f) (log (* 1/4 PI))) 3))) (+ (* 1/12 (* PI (pow f 2))) (* 1/576 (/ (* (pow PI 3) (* (pow f 4) (pow (log (* 1/4 PI)) 2))) (pow (+ (log f) (log (* 1/4 PI))) 3)))))))
* * [misc]simplify:  iters left: 6 (58 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (* (/ (log (* PI 1/4)) PI) 4) (/ (* 7/5760 (* (* (log f) (log f)) (* (pow PI 3) (pow f 4)))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4)))))) (+ (+ (/ (* 7/5760 (* (* (pow PI 3) (pow f 4)) (* (log (* PI 1/4)) (log (* PI 1/4))))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))) (* 4 (/ (log f) PI))) (+ (/ (* 1/576 (* (pow PI 3) (pow f 4))) (log (* f (* PI 1/4)))) (* 7/2880 (/ (* (* (log f) (pow PI 3)) (* (pow f 4) (log (* PI 1/4)))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))))))) (+ (+ (/ (* 1/576 (* (* (log f) (log f)) (* (pow PI 3) (pow f 4)))) (pow (log (* f (* PI 1/4))) 3)) (* 1/288 (/ (* (* (log f) (pow PI 3)) (* (pow f 4) (log (* PI 1/4)))) (pow (log (* f (* PI 1/4))) 3)))) (+ (/ (* 1/576 (* (* (pow PI 3) (pow f 4)) (* (log (* PI 1/4)) (log (* PI 1/4))))) (pow (log (* f (* PI 1/4))) 3)) (* (* 1/12 PI) (* f f)))))
* [misc]simplify:  Simplified (2) to (λ (f) (- (+ (+ (* (/ (log (* PI 1/4)) PI) 4) (/ (* 7/5760 (* (* (log f) (log f)) (* (pow PI 3) (pow f 4)))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4)))))) (+ (+ (/ (* 7/5760 (* (* (pow PI 3) (pow f 4)) (* (log (* PI 1/4)) (log (* PI 1/4))))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))) (* 4 (/ (log f) PI))) (+ (/ (* 1/576 (* (pow PI 3) (pow f 4))) (log (* f (* PI 1/4)))) (* 7/2880 (/ (* (* (log f) (pow PI 3)) (* (pow f 4) (log (* PI 1/4)))) (* (log (* f (* PI 1/4))) (log (* f (* PI 1/4))))))))) (+ (+ (/ (* 1/576 (* (* (log f) (log f)) (* (pow PI 3) (pow f 4)))) (pow (log (* f (* PI 1/4))) 3)) (* 1/288 (/ (* (* (log f) (pow PI 3)) (* (pow f 4) (log (* PI 1/4)))) (pow (log (* f (* PI 1/4))) 3)))) (+ (/ (* 1/576 (* (* (pow PI 3) (pow f 4)) (* (log (* PI 1/4)) (log (* PI 1/4))))) (pow (log (* f (* PI 1/4))) 3)) (* (* 1/12 PI) (* f f))))))
* * * * [misc]progress:  [ 111 / 112 ] simplifiying candidate #<alt (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 (15 enodes)
* * [misc]simplify:  iters left: 5 (275 enodes)
* [exit]simplify:  Simplified to (* (log (tanh (* 1/4 (* PI f)))) (* (/ 1 PI) 4))
* [misc]simplify:  Simplified (2) to (λ (f) (* (log (tanh (* 1/4 (* PI f)))) (* (/ 1 PI) 4)))
* * * * [misc]progress:  [ 112 / 112 ] simplifiying candidate #<alt (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 (285 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))))) (* (/ 1 PI) 4))
* [misc]simplify:  Simplified (2) to (λ (f) (* (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))))) (* (/ 1 PI) 4)))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt (λ (f) (* (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))))> #<alt (λ (f) (/ (+ (pow (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) 3) (pow (log (cbrt (tanh (* (/ PI 4) f)))) 3)) (* (/ PI 4) (+ (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (- (* (log (cbrt (tanh (* (/ PI 4) f)))) (log (cbrt (tanh (* (/ PI 4) f))))) (* (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))))))))> #<alt (λ (f) (/ 1 (/ (/ PI 4) (log (tanh (* (/ PI 4) f))))))> #<alt (λ (f) (cbrt (pow (/ (log (tanh (* f (/ PI 4)))) (/ PI 4)) 3)))> #<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))> #<alt (λ (f) (* (* (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4))) (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))) (cbrt (/ (log (tanh (* (/ PI 4) f))) (/ PI 4)))))> #<alt (λ (f) (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/4 PI)) PI)))) (* 1/12 (* PI (pow f 2)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) +nan.0)) , with alts (#<alt (λ (f) (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4))))>)
* [enter]simplify:  Simplifying (* (+ (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3))) (log (cbrt (tanh (* (/ PI 4) f))))) (/ 1 (/ PI 4)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (* (+ (log (cbrt (tanh (* (/ PI 4) f)))) (log (pow (tanh (* (/ PI 4) f)) (+ 1/3 1/3)))) (/ 1 (/ PI 4)))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5932 additional inputs, on iter 1 have 2068 / 8000
* * * * [misc]points:  Computing exacts on every 370 of 5932 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 185 of 5932 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 92 of 5932 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 46 of 5932 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 23 of 5932 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 11 of 5932 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 5932 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 5932 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 5932 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4452 additional inputs, on iter 2 have 3548 / 8000
* * * * [misc]points:  Computing exacts on every 278 of 4452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 139 of 4452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 69 of 4452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 34 of 4452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 17 of 4452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 4452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 4452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 4452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 4452 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3318 additional inputs, on iter 3 have 4682 / 8000
* * * * [misc]points:  Computing exacts on every 207 of 3318 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 103 of 3318 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 51 of 3318 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 25 of 3318 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 12 of 3318 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 3318 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 3318 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 3318 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 2487 additional inputs, on iter 4 have 5513 / 8000
* * * * [misc]points:  Computing exacts on every 155 of 2487 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 77 of 2487 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 38 of 2487 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 19 of 2487 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 9 of 2487 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 2487 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 2487 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 2487 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1833 additional inputs, on iter 5 have 6167 / 8000
* * * * [misc]points:  Computing exacts on every 114 of 1833 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 57 of 1833 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 28 of 1833 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 14 of 1833 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 1833 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 1833 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1833 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1369 additional inputs, on iter 6 have 6631 / 8000
* * * * [misc]points:  Computing exacts on every 85 of 1369 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 42 of 1369 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 21 of 1369 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 10 of 1369 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 1369 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 1369 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1369 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1029 additional inputs, on iter 7 have 6971 / 8000
* * * * [misc]points:  Computing exacts on every 64 of 1029 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 32 of 1029 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 16 of 1029 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 1029 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 1029 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 1029 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1029 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 771 additional inputs, on iter 8 have 7229 / 8000
* * * * [misc]points:  Computing exacts on every 48 of 771 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 24 of 771 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 12 of 771 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 771 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 771 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 771 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 552 additional inputs, on iter 9 have 7448 / 8000
* * * * [misc]points:  Computing exacts on every 34 of 552 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 17 of 552 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 552 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 552 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 552 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 552 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 401 additional inputs, on iter 10 have 7599 / 8000
* * * * [misc]points:  Computing exacts on every 25 of 401 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 12 of 401 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 401 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 401 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 401 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 308 additional inputs, on iter 11 have 7692 / 8000
* * * * [misc]points:  Computing exacts on every 19 of 308 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 9 of 308 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 308 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 308 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 308 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 236 additional inputs, on iter 12 have 7764 / 8000
* * * * [misc]points:  Computing exacts on every 14 of 236 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 236 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 236 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 236 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 177 additional inputs, on iter 13 have 7823 / 8000
* * * * [misc]points:  Computing exacts on every 11 of 177 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 177 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 177 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 177 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 133 additional inputs, on iter 14 have 7867 / 8000
* * * * [misc]points:  Computing exacts on every 8 of 133 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 133 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 133 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 133 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 95 additional inputs, on iter 15 have 7905 / 8000
* * * * [misc]points:  Computing exacts on every 5 of 95 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 95 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 95 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 72 additional inputs, on iter 16 have 7928 / 8000
* * * * [misc]points:  Computing exacts on every 4 of 72 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 72 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 72 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 51 additional inputs, on iter 17 have 7949 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 51 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 32 additional inputs, on iter 18 have 7968 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 32 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 32 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 23 additional inputs, on iter 19 have 7977 / 8000
* * * * [misc]points:  Computing exacts for 23 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 18 additional inputs, on iter 20 have 7982 / 8000
* * * * [misc]points:  Computing exacts for 18 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 21 have 7984 / 8000
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 10 additional inputs, on iter 22 have 7990 / 8000
* * * * [misc]points:  Computing exacts for 10 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 23 have 7995 / 8000
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 24 have 7995 / 8000
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 25 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs